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PHYSICAL REVIEW B                                     VOLUME 55, NUMBER 15                                               15 APRIL 1997-I

                                     Atomic details of step flow growth on Si„001…
                      J. van Wingerden, A. van Dam, M. J. Haye, P. M. L. O. Scholte, and F. Tuinstra
            Department of Applied Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
                                                      Received 31 July 1996
                Growth at step edges by the addition of single adatoms has been studied using scanning tunneling micros-
             copy STM . It is shown that the use of empty-state instead of filled-state STM images enables the assessment
             of the binding sites of single adatoms at step edges. We describe all different step edge configurations obtained
             by subsequently sticking adatoms to these step edges. Adatom diffusion along step edges as well as the
             dimerization of adatoms at a step edge are also demonstrated. Finally, the creation of single dimer vacancies at
             step edges is discussed. S0163-1829 97 01412-4




    Step edges form the crucial growth template during epi-            atoms. Growth at step edges with single adatoms is obtained
taxial growth. In the step-flow growth mode the mobility is             by room temperature deposition of a submonolayer of silicon
high enough for all growth units to reach the step edges and           on Si 001 . The S B step edges on the as-grown surface have
stick there before a new growth center is nucleated. These             been studied with STM. As we will show the use of empty
step edges either originate from a macroscopic misalignment            state instead of filled state STM images is a major tool for
of the surface relative to the crystallographic plane or from          the determination of the binding sites for single adatoms.
dislocations terminating at the surface. In case the mobility          Based on these images we will first discuss the stable con-
of the growth units is insufficient to reach existing steps,            figurations formed upon the subsequent addition of single
islands nucleate on the terraces. The majority of the growth           adatoms at step edges. Then, the dynamic processes at the
units then sticks to the newly created step edges of the is-           step edge are discussed. The diffusion of adatoms along the
lands. Thus, growth mechanisms at step edges play a deci-              step edge and the formation of a dimer at the step edge are
sive role in the step flow as well as the island growth mode.           illustrated with STM images. Furthermore, it is discussed
    Steps on the Si 001 surface have been investigated ex-             how a particular step edge configuration can serve as a fa-
tensively, both because of the technological importance of             vorable site for the creation of single dimer vacancies.
this surface and because of its suitability as a model system              The experiments have been performed in a UHV system
for epitaxial growth studies. If the Si 001 surface is miscut          with a base pressure of 5 10 11 Torr. A 10 s flash at
towards the 110 direction, two types of monatomic steps                1250 °C is used for preparing the Si 001 substrates. Room
are created on the surface. They differ in their orientation           temperature deposition of submonolayers of silicon on the
relative to the dimer rows to the 2 1 reconstructed terrace.           substrates is performed with a commercial miniature
For the so-called S B type the dimer rows on the upper terrace         electron-beam evaporator. During room temperature deposi-
are perpendicular to the step edge while they are parallel to          tion most of the deposited material nucleates islands on the
the step edge for the S A type.1 If the average step edge di-          terraces.14 A small amount of the deposited material is not
rection is not along the 110 direction, the step edge consists         incorporated in the islands on the terrace, but sticks to the
of segments of both types.                                             monatomic height steps. The resulting step edge configura-
    The sticking probability for growth units is much larger at        tions are studied with a Beetle-type STM.15 All STM images
S B than at the S A type step edges.2 Therefore, growth mainly         are measured in the constant current mode. Dynamic pro-
occurs at S B step edges. Two different types of S B step edges        cesses are studied by capturing images of the same surface
exist, the so-called rebonded and nonrebonded S B step                 area at 10 s time intervals. The observed changes may be
edge.1,3 They are alternatingly obtained by the subsequent             induced by the electric field but they are most likely to be the
addition of single ad dimers. Because the rebonded S B step            relevant ones at slightly elevated temperatures.16
edge has a significantly lower energy it dominates the struc-               STM images of the configurations that have been encoun-
ture of the S B steps. Thermally induced step edge                     tered are shown in Fig. 1. Schematic drawings of the con-
fluctuations4–8 have been studied with scanning tunneling               figurations and their abundances are shown in Fig. 2. The
microscopy STM at slightly elevated temperatures. Due to               abundances are determined by counting the number of occur-
the predominant formation of the rebonded S B step edge,               rences of different configurations observed in three experi-
only the attachment or removal of units of two dimers, i.e.,           ments with room temperature deposited coverages ranging
four atoms, was observed. Whether adatoms or ad dimers are             from 0.003 ML to 0.012 ML. The abundances are based on
the smallest entities involved in the dynamic processes at the         the configurations of over 2000 dimer rows ending at a step
step edge is still unknown. Although single adatoms on                 edge. Although some defects have been observed close to the
Si 001 terraces and in clusters have been observed with                step edges, no correlation between defects and certain atomic
STM before,9,10 the interactions of single adatoms with step           configurations was observed. The majority of the dimer rows
edges have only been studied theoretically.11–13                       ends with a dimer in the trough of the lower terrace see
    In the present work we describe experiments which reveal           configuration 0 in Figs. 1 a and 1 b ; note the pronounced
the growth process of S B step edges on the level of single            appearance of the lower terrace dangling bonds in the empty-

0163-1829/97/55 15 /9352 4 /$10.00                             55      9352                        © 1997 The American Physical Society
55                                                          BRIEF REPORTS                                                             9353




   FIG. 1. Filled a, c, e, g, i and empty-state b, d, f, h, j STM images of step edges showing nine different configurations of dimer rows
ending at S B step edges 0, 1a, 1b, 2, 3a, 3b, 4, 5, and 6 . The row of dangling bonds at the step edge in configuration 0 is indicated with
d a,b . Tunneling conditions: 1.5 nA a,b , 1.1 nA c–j ; 1.3 V a, c, e, g, i , 1.3 V b, f, h, j 1.0 V d .

state image b . This so-called rebonded S B step edge is the           served a configuration 3b in Figs. 1 g and 1 h where the
only configuration observed on the surfaces before growth.              adatom is attached to the next row of the lower terrace. This
Thus we consider configuration 0 as the starting point for the          configuration has been observed five times and in all of these
growth process. The configurations 1a and 1b represent the              cases the binding of the adatom seems to be stabilized by a
two inequivalent stable binding sites for single adatoms. It           neighboring S A step edge. if step flow growth proceeds by
should be noted that the single adatoms are clearly visible in         the addition of single adatoms, the step edge starts from con-
the empty-state image while they are nearly invisible in the           figuration 0 and subsequently assumes the above mentioned
filled-state image. This is a general observation which is also         configurations 1a or 1b, 2, 3a or 3b, and finally configura-
valid for the visibility of single adatoms in other                    tion 0 again.
configurations.14,18 Positioning the adatom at the center of               Competitive processes may ‘‘block’’ the growth process,
the dimer row configuration 1a gas a thirty times higher                yielding different structures. For example, we observed that
population than the site of configuration 1b. The dimer row             at the end of 4% of the dimer rows a nonepitaxial dimer is
of the upper terrace can be extended with a dimer by adding
another adatom. Now, the dimer row ends with a dimer on
top of the row of the lower terrace. This configuration 2 in
Figs. 1 c and 1 d is usually indicated as a nonrebonded S B
step edge. It has only been observed at the end of 0.5% of the
dimer rows. While configuration 2 is already very rare, we
have even fewer images of the next step, where another ada-
tom is added. Configuration 3a see Figs. 1 g and 1 h
shows the binding of an adatom to the same dimer row of the               FIG. 2. Schematic representation of the different atomic con-
lower terrace on top of which the step edge ends. This con-            figurations observed at S B step edges. The abundances observed for
figuration has been observed only once. Furthermore, we ob-             the different configurations are also indicated.
9354                                                         BRIEF REPORTS                                                          55




                                                                          FIG. 4. The formation of a dimer from two adatoms bound at a
                                                                       rebonded S B step edge in between two subsequent empty-state STM
                                                                       images. Tunneling conditions: 0.4 nA, 1.7 V.


                                                                           Changes in step edge configurations observed with STM
                                                                       yield information about the dynamic processes involved in
                                                                       step-flow growth. Figures 3 a –3 c show the hopping of an
                                                                       adatom along the step edge, subsequently sampling the con-
                                                                       figurations 1a, 1b, and 1a. As Fig. 1 d shows, the adatom
                                                                       finally climbs to the upper terrace at the kink site. Whether
   FIG. 3. Subsequent empty-state STM images showing diffusion         the stable binding of the adatom at that site results from the
of an adatom along a rebonded S B step edge a–c . In d the ada-        kink configuration or from the presence of a second adatom,
tom climbs to the upper terrace at a kink site. Tunneling conditions   could not be concluded unambiguously. Two adatoms diffus-
0.4 nA, 1.6 V.                                                         ing along a rebonded S B step edge can form a dimer to-
                                                                       gether, as shown in Fig. 4. This demonstrates a pathway for
formed see configuration 4 in Figs. 1 g and 1 h . For an                the formation of configuration 2. We have also observed the
epitaxial dimer the dimer bond should have been perpendicu-            reverse process of breaking such a dimer at a nonrebonded
lar to those of the lower terrace. Configuration 4 can be               S B step edge.
formed from a second adatom on the lower terrace dimeriz-                  The binding sites for adatoms at rebonded S B step edges
ing with the adatom of configuration 1a. It should be noted             are stable as most of these adatoms do not move during the
that configuration 2, which also requires the arrival of two            capturing of subsequent STM images at room temperature.
adatoms, has a very low abundance with respect to configu-              This observation of an increased barrier for diffusion onto
ration 4. Configuration 5 in Figs. 1 e and 1 f shows an                 the terrace is in accordance with ab initio calculations,12,13
epitaxial dimer which is separated from the upper terrace              which predict the energy of the binding site in configuration
dimer row by a vacancy. Their abundance amounts to about               1a to be at least 0.5 eV lower than the global minimum for
1% of the dimer row ends. Single adatoms can also be at-               an adatom on the terrace. In these calculations a low activa-
tached to the configurations 4 and 5. In case of configuration           tion energy was found for the diffusion over the top of the
4 this yields the formation of a three-atom cluster,14 right at        lower terrace dimer row next to the step edge. In our obser-
the step edge, as has been observed a few times. Attachment            vations we see that an adatom diffusing along the step edge
of an adatom at configuration 5 yields the configuration 6               samples all the intermediate binding sites see Fig. 3 . Thus,
shown in Figs. 1 i and 1 j : Apart from the vacancy it is              the effective diffusion rate along the rebonded S B step edge
similar to configuration 1a.                                            is strongly reduced by the frequent sidesteps of the diffusing
    A better understanding of the different bonding topologies         adatom to the more stable sites in the configurations 1a and
can be obtained by using simple tight binding arguments.               1b.
The unreconstructed Si 001 surface contains two dangling                   If growth is performed at elevated temperatures, ad
bonds per surface atom. Upon reconstruction dimers are                 dimers also become mobile and can stick to step edges di-
formed and the dangling bonds form a strong -like bonding              rectly. In that case the step edge subsequently assumes the
state and a much weaker -like bonding state. Configuration              configurations 0 and 2 see Figs. 1 a –1 d and 2 . In gen-
0 is stabler than configuration 2, because adding a dimer to            eral, adatoms have a much higher mobility and, therefore,
the former requires the breaking of two strong          bonds,         will arrive at the step edges more easily than ad dimers.
whereas adding a dimer to the latter only requires the break-          Whether the sticking of complete dimers is relevant during
ing of two weak bonds. In configuration 0 the bonds of                  step-flow growth depends on the sticking coefficient for
the lower terrace dimer at the step edge are broken. This              single adatoms at the various step edge configurations.
yields semifilled dangling bonds which are visible in both the              The observation of configuration 5 indicates the existence
filled and the empty-state image see Figs. 1 a and 1 b .                of another important dynamic process at the step edge: the
These dangling bonds act as reactive sites for adatom                  creation of vacancies. Rotation of the nonepitaxial dimer in
adsorption.19 Furthermore, binding at the reactive sites is sta-       configuration 4 may account for the formation of configura-
bler than binding at an ordinary substrate dimer row, where            tion. However, configuration 4 is generally formed by adding
the bonds are still intact. This explains why at room tem-             two adatoms to an otherwise straight step edge, as can be
perature single adatoms can be seen bound to a step edge.              seen in Figs. 1 g and 1 h , while in most cases configuration
55                                                            BRIEF REPORTS                                                           9355

                                                                         ergy of configuration 2. The vacancy created just behind the
                                                                         step may now diffuse across the terrace see Fig. 4 c with
                                                                         the typical activation energy required for vacancy
                                                                         diffusion.17 The above process for the creation of single
                                                                         dimer vacancies is likely to have a lower activation energy
                                                                         than their creation somewhere on the terrace. Thus, the den-
                                                                         sity of vacancies on the terrace should be intimately related
                                                                         to step edge processes.
                                                                             We conclude that STM studies of growth at step edges
    FIG. 5. Schematic representation of the formation of a single        should involve empty-state images, as only these images
dimer vacancy b : configuration 5 at a nonrebonded S B step edge          show the undimerized atoms. A number of different step
  a : configuration 2 . The single dimer vacancy can diffuse along        edge configurations are described. These configurations rep-
the dimer rows of the terrace c .                                        resent the different stages of the growth at S B step edges
                                                                         using single adatoms. The existence of competitive processes
5 consists of a vacancy just behind a straight step edge as              yielding nonepitaxial structures at the step edges is also dem-
depicted schematically in Fig. 5 b . This points towards an-             onstrated. Furthermore, the processes of adatom diffusion
other mechanism for the formation of configuration 5. As                  along the step edges and dimerization of two such adatoms
shown in Figs. 5 a and 5 b the outer dimer in configuration               are visualized directly. Finally, we propose a low activation
2 may jump into the trough and leave a single dimer vacancy              energy pathway for the creation of single dimer vacancies at
behind. This transition is reasonable in view of the high en-            the step edges.




1                                                                        11
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    and J. Dieleman, Phys. Rev. Lett. 63, 1830 1989 .                       Q. M. Zhang, C. Roland, P. Boguslawski, and J. Bernholc, Phys.
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   R. J. Hamers, R. M. Tromp, and J. E. Demuth, Phys. Rev. B 34,             Rev. Lett. 75, 101 1995 .
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    5343 1986 .                                                             J. Wang, D. A. Drabold, and A. Rockett, Surf. Sci. 344, 251
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1997 atomic details of step flow growth on si(001)

  • 1. PHYSICAL REVIEW B VOLUME 55, NUMBER 15 15 APRIL 1997-I Atomic details of step flow growth on Si„001… J. van Wingerden, A. van Dam, M. J. Haye, P. M. L. O. Scholte, and F. Tuinstra Department of Applied Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands Received 31 July 1996 Growth at step edges by the addition of single adatoms has been studied using scanning tunneling micros- copy STM . It is shown that the use of empty-state instead of filled-state STM images enables the assessment of the binding sites of single adatoms at step edges. We describe all different step edge configurations obtained by subsequently sticking adatoms to these step edges. Adatom diffusion along step edges as well as the dimerization of adatoms at a step edge are also demonstrated. Finally, the creation of single dimer vacancies at step edges is discussed. S0163-1829 97 01412-4 Step edges form the crucial growth template during epi- atoms. Growth at step edges with single adatoms is obtained taxial growth. In the step-flow growth mode the mobility is by room temperature deposition of a submonolayer of silicon high enough for all growth units to reach the step edges and on Si 001 . The S B step edges on the as-grown surface have stick there before a new growth center is nucleated. These been studied with STM. As we will show the use of empty step edges either originate from a macroscopic misalignment state instead of filled state STM images is a major tool for of the surface relative to the crystallographic plane or from the determination of the binding sites for single adatoms. dislocations terminating at the surface. In case the mobility Based on these images we will first discuss the stable con- of the growth units is insufficient to reach existing steps, figurations formed upon the subsequent addition of single islands nucleate on the terraces. The majority of the growth adatoms at step edges. Then, the dynamic processes at the units then sticks to the newly created step edges of the is- step edge are discussed. The diffusion of adatoms along the lands. Thus, growth mechanisms at step edges play a deci- step edge and the formation of a dimer at the step edge are sive role in the step flow as well as the island growth mode. illustrated with STM images. Furthermore, it is discussed Steps on the Si 001 surface have been investigated ex- how a particular step edge configuration can serve as a fa- tensively, both because of the technological importance of vorable site for the creation of single dimer vacancies. this surface and because of its suitability as a model system The experiments have been performed in a UHV system for epitaxial growth studies. If the Si 001 surface is miscut with a base pressure of 5 10 11 Torr. A 10 s flash at towards the 110 direction, two types of monatomic steps 1250 °C is used for preparing the Si 001 substrates. Room are created on the surface. They differ in their orientation temperature deposition of submonolayers of silicon on the relative to the dimer rows to the 2 1 reconstructed terrace. substrates is performed with a commercial miniature For the so-called S B type the dimer rows on the upper terrace electron-beam evaporator. During room temperature deposi- are perpendicular to the step edge while they are parallel to tion most of the deposited material nucleates islands on the the step edge for the S A type.1 If the average step edge di- terraces.14 A small amount of the deposited material is not rection is not along the 110 direction, the step edge consists incorporated in the islands on the terrace, but sticks to the of segments of both types. monatomic height steps. The resulting step edge configura- The sticking probability for growth units is much larger at tions are studied with a Beetle-type STM.15 All STM images S B than at the S A type step edges.2 Therefore, growth mainly are measured in the constant current mode. Dynamic pro- occurs at S B step edges. Two different types of S B step edges cesses are studied by capturing images of the same surface exist, the so-called rebonded and nonrebonded S B step area at 10 s time intervals. The observed changes may be edge.1,3 They are alternatingly obtained by the subsequent induced by the electric field but they are most likely to be the addition of single ad dimers. Because the rebonded S B step relevant ones at slightly elevated temperatures.16 edge has a significantly lower energy it dominates the struc- STM images of the configurations that have been encoun- ture of the S B steps. Thermally induced step edge tered are shown in Fig. 1. Schematic drawings of the con- fluctuations4–8 have been studied with scanning tunneling figurations and their abundances are shown in Fig. 2. The microscopy STM at slightly elevated temperatures. Due to abundances are determined by counting the number of occur- the predominant formation of the rebonded S B step edge, rences of different configurations observed in three experi- only the attachment or removal of units of two dimers, i.e., ments with room temperature deposited coverages ranging four atoms, was observed. Whether adatoms or ad dimers are from 0.003 ML to 0.012 ML. The abundances are based on the smallest entities involved in the dynamic processes at the the configurations of over 2000 dimer rows ending at a step step edge is still unknown. Although single adatoms on edge. Although some defects have been observed close to the Si 001 terraces and in clusters have been observed with step edges, no correlation between defects and certain atomic STM before,9,10 the interactions of single adatoms with step configurations was observed. The majority of the dimer rows edges have only been studied theoretically.11–13 ends with a dimer in the trough of the lower terrace see In the present work we describe experiments which reveal configuration 0 in Figs. 1 a and 1 b ; note the pronounced the growth process of S B step edges on the level of single appearance of the lower terrace dangling bonds in the empty- 0163-1829/97/55 15 /9352 4 /$10.00 55 9352 © 1997 The American Physical Society
  • 2. 55 BRIEF REPORTS 9353 FIG. 1. Filled a, c, e, g, i and empty-state b, d, f, h, j STM images of step edges showing nine different configurations of dimer rows ending at S B step edges 0, 1a, 1b, 2, 3a, 3b, 4, 5, and 6 . The row of dangling bonds at the step edge in configuration 0 is indicated with d a,b . Tunneling conditions: 1.5 nA a,b , 1.1 nA c–j ; 1.3 V a, c, e, g, i , 1.3 V b, f, h, j 1.0 V d . state image b . This so-called rebonded S B step edge is the served a configuration 3b in Figs. 1 g and 1 h where the only configuration observed on the surfaces before growth. adatom is attached to the next row of the lower terrace. This Thus we consider configuration 0 as the starting point for the configuration has been observed five times and in all of these growth process. The configurations 1a and 1b represent the cases the binding of the adatom seems to be stabilized by a two inequivalent stable binding sites for single adatoms. It neighboring S A step edge. if step flow growth proceeds by should be noted that the single adatoms are clearly visible in the addition of single adatoms, the step edge starts from con- the empty-state image while they are nearly invisible in the figuration 0 and subsequently assumes the above mentioned filled-state image. This is a general observation which is also configurations 1a or 1b, 2, 3a or 3b, and finally configura- valid for the visibility of single adatoms in other tion 0 again. configurations.14,18 Positioning the adatom at the center of Competitive processes may ‘‘block’’ the growth process, the dimer row configuration 1a gas a thirty times higher yielding different structures. For example, we observed that population than the site of configuration 1b. The dimer row at the end of 4% of the dimer rows a nonepitaxial dimer is of the upper terrace can be extended with a dimer by adding another adatom. Now, the dimer row ends with a dimer on top of the row of the lower terrace. This configuration 2 in Figs. 1 c and 1 d is usually indicated as a nonrebonded S B step edge. It has only been observed at the end of 0.5% of the dimer rows. While configuration 2 is already very rare, we have even fewer images of the next step, where another ada- tom is added. Configuration 3a see Figs. 1 g and 1 h shows the binding of an adatom to the same dimer row of the FIG. 2. Schematic representation of the different atomic con- lower terrace on top of which the step edge ends. This con- figurations observed at S B step edges. The abundances observed for figuration has been observed only once. Furthermore, we ob- the different configurations are also indicated.
  • 3. 9354 BRIEF REPORTS 55 FIG. 4. The formation of a dimer from two adatoms bound at a rebonded S B step edge in between two subsequent empty-state STM images. Tunneling conditions: 0.4 nA, 1.7 V. Changes in step edge configurations observed with STM yield information about the dynamic processes involved in step-flow growth. Figures 3 a –3 c show the hopping of an adatom along the step edge, subsequently sampling the con- figurations 1a, 1b, and 1a. As Fig. 1 d shows, the adatom finally climbs to the upper terrace at the kink site. Whether FIG. 3. Subsequent empty-state STM images showing diffusion the stable binding of the adatom at that site results from the of an adatom along a rebonded S B step edge a–c . In d the ada- kink configuration or from the presence of a second adatom, tom climbs to the upper terrace at a kink site. Tunneling conditions could not be concluded unambiguously. Two adatoms diffus- 0.4 nA, 1.6 V. ing along a rebonded S B step edge can form a dimer to- gether, as shown in Fig. 4. This demonstrates a pathway for formed see configuration 4 in Figs. 1 g and 1 h . For an the formation of configuration 2. We have also observed the epitaxial dimer the dimer bond should have been perpendicu- reverse process of breaking such a dimer at a nonrebonded lar to those of the lower terrace. Configuration 4 can be S B step edge. formed from a second adatom on the lower terrace dimeriz- The binding sites for adatoms at rebonded S B step edges ing with the adatom of configuration 1a. It should be noted are stable as most of these adatoms do not move during the that configuration 2, which also requires the arrival of two capturing of subsequent STM images at room temperature. adatoms, has a very low abundance with respect to configu- This observation of an increased barrier for diffusion onto ration 4. Configuration 5 in Figs. 1 e and 1 f shows an the terrace is in accordance with ab initio calculations,12,13 epitaxial dimer which is separated from the upper terrace which predict the energy of the binding site in configuration dimer row by a vacancy. Their abundance amounts to about 1a to be at least 0.5 eV lower than the global minimum for 1% of the dimer row ends. Single adatoms can also be at- an adatom on the terrace. In these calculations a low activa- tached to the configurations 4 and 5. In case of configuration tion energy was found for the diffusion over the top of the 4 this yields the formation of a three-atom cluster,14 right at lower terrace dimer row next to the step edge. In our obser- the step edge, as has been observed a few times. Attachment vations we see that an adatom diffusing along the step edge of an adatom at configuration 5 yields the configuration 6 samples all the intermediate binding sites see Fig. 3 . Thus, shown in Figs. 1 i and 1 j : Apart from the vacancy it is the effective diffusion rate along the rebonded S B step edge similar to configuration 1a. is strongly reduced by the frequent sidesteps of the diffusing A better understanding of the different bonding topologies adatom to the more stable sites in the configurations 1a and can be obtained by using simple tight binding arguments. 1b. The unreconstructed Si 001 surface contains two dangling If growth is performed at elevated temperatures, ad bonds per surface atom. Upon reconstruction dimers are dimers also become mobile and can stick to step edges di- formed and the dangling bonds form a strong -like bonding rectly. In that case the step edge subsequently assumes the state and a much weaker -like bonding state. Configuration configurations 0 and 2 see Figs. 1 a –1 d and 2 . In gen- 0 is stabler than configuration 2, because adding a dimer to eral, adatoms have a much higher mobility and, therefore, the former requires the breaking of two strong bonds, will arrive at the step edges more easily than ad dimers. whereas adding a dimer to the latter only requires the break- Whether the sticking of complete dimers is relevant during ing of two weak bonds. In configuration 0 the bonds of step-flow growth depends on the sticking coefficient for the lower terrace dimer at the step edge are broken. This single adatoms at the various step edge configurations. yields semifilled dangling bonds which are visible in both the The observation of configuration 5 indicates the existence filled and the empty-state image see Figs. 1 a and 1 b . of another important dynamic process at the step edge: the These dangling bonds act as reactive sites for adatom creation of vacancies. Rotation of the nonepitaxial dimer in adsorption.19 Furthermore, binding at the reactive sites is sta- configuration 4 may account for the formation of configura- bler than binding at an ordinary substrate dimer row, where tion. However, configuration 4 is generally formed by adding the bonds are still intact. This explains why at room tem- two adatoms to an otherwise straight step edge, as can be perature single adatoms can be seen bound to a step edge. seen in Figs. 1 g and 1 h , while in most cases configuration
  • 4. 55 BRIEF REPORTS 9355 ergy of configuration 2. The vacancy created just behind the step may now diffuse across the terrace see Fig. 4 c with the typical activation energy required for vacancy diffusion.17 The above process for the creation of single dimer vacancies is likely to have a lower activation energy than their creation somewhere on the terrace. Thus, the den- sity of vacancies on the terrace should be intimately related to step edge processes. We conclude that STM studies of growth at step edges FIG. 5. Schematic representation of the formation of a single should involve empty-state images, as only these images dimer vacancy b : configuration 5 at a nonrebonded S B step edge show the undimerized atoms. A number of different step a : configuration 2 . The single dimer vacancy can diffuse along edge configurations are described. These configurations rep- the dimer rows of the terrace c . resent the different stages of the growth at S B step edges using single adatoms. The existence of competitive processes 5 consists of a vacancy just behind a straight step edge as yielding nonepitaxial structures at the step edges is also dem- depicted schematically in Fig. 5 b . This points towards an- onstrated. Furthermore, the processes of adatom diffusion other mechanism for the formation of configuration 5. As along the step edges and dimerization of two such adatoms shown in Figs. 5 a and 5 b the outer dimer in configuration are visualized directly. Finally, we propose a low activation 2 may jump into the trough and leave a single dimer vacancy energy pathway for the creation of single dimer vacancies at behind. This transition is reasonable in view of the high en- the step edges. 1 11 D. J. Chadi, Phys. Rev. Lett. 59, 1691 1987 . Z. Zhang, Y.-T. Lu, and Horiz Metiu, Surf. Sci. Lett. 255, L543 2 A. J. Hoeven, J. M. Lenssinck, D. Dijkkamp, E. J. van Loenen, 1991 . 12 and J. Dieleman, Phys. Rev. Lett. 63, 1830 1989 . Q. M. Zhang, C. Roland, P. Boguslawski, and J. Bernholc, Phys. 3 R. J. Hamers, R. M. Tromp, and J. E. Demuth, Phys. Rev. B 34, Rev. Lett. 75, 101 1995 . 13 5343 1986 . J. Wang, D. A. Drabold, and A. Rockett, Surf. Sci. 344, 251 4 H. J. W. Zandvliet, H. B. Elswijk, and E. J. van Loenen, Surf. Sci. 1995 . 14 272, 264 1992 . J. van Wingerden, A. van Dam, M. J. Haye, P. M. L. O. Scholte, 5 N. Kitamura, B. S. Swartzentruber, M. G. Lagally, and M. B. and F. Tuinstra, Phys. Rev. B 55, 4723 1997 . 15 Webb, Phys. Rev. B 48, 5704 1993 . K. Besocke, Surf. Sci. 181, 145 1987 . 6 16 B. S. Swartzentruber and M. Schacht, Surf. Sci. 322, 83 1995 . A. van Dam, J. van Wingerden, M. J. Haye, P. M. L. O. Scholte, 7 C. Pearson, B. Borovsky, M. Krueger, R. Curtis, and E. Ganz, and F. Tuinstra, Phys. Rev. B 54, 1557 1996 . 17 Phys. Rev. Lett. 74, 2710 1995 . N. Kitamura, M. G. Lagally, and M. B. Webb, Phys. Rev. Lett. 8 C. Pearson, M. Krueger, R. Curtis, B. Borovsky, X. Shi, and E. 71, 2082 1993 . 18 Ganz, J. Vac. Sci. Technol. A 13, 1506 1995 . G. Brocks and P. J. Kelly, Phys. Rev. Lett. 76, 2362 1996 . 9 19 R. A. Wolkow, Phys. Rev. Lett. 74, 4448 1995 . G. Brocks, P. J. Kelly, and R. Car, Phys. Rev. Lett. 66, 1729 10 P. J. Bedrossian, Phys. Rev. Lett. 74, 3648 1995 . 1991 .