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ELSEVIER                                        Surface   Science 377-379    (1997) 1006-1009




                  Nucleation of homoepitaxial Si chains on Si( 001)
                                at room temperature
                     J. van Wingerden, M.J. Haye, P.M.L.O. Scholte *, F. Tuinstra
              Delft University of Technology, Applied Physics Department,         Lorentzweg     I, 2628 CJ De&    The Netherlands

                                   Received   1 August    1996; accepted   for publication     15 October   1996




Abstract

   Results are presented of a microscopic    study of the formation    of epitaxial Si dimer chains. We lind that dimers adsorb on a
limited number of sites only. Interactions  between dimers and diffusing adatoms lead to the formation     of three-atom  clusters which
can be extended to diluted lines of dimers. Only two types of lines are observed: lines along [ 1 lo] and lines along [310]. These lines
connect to each other and form a random network. Upon further deposition, the diluted dinner lines transform into epitaxial dimer
rows. This transition starts at the end of the lines by reorienting the dimers in the line and adding mobile adatoms.


Keywords: Adatoms; Clusters; Epitaxy; Growth; Models of surface kinetics; Molecular beam epitaxy; Nucleation; Scanning tunneling
microscopy;   Self-assembly; Semiconducting   tilms; Silicon; Single crystal epitaxy; Stepped single crystal surfaces; Sticking; Surface
diffusion; Surface energy; Surface structure, morphology,    roughness, and topography;    Vicinal single crystal surfaces



1. Introduction                                                                 In an alternative approach, structures with
                                                                             atomically sharp boundaries can be made by using
   With the ongoing miniaturisation in electronic                            the self-assembly of atoms during deposition.
devices, standard lithographic techniques such as                            Examples are the spontaneous formation of Ge
electron-beam lithography and masking are near-                              hut clusters during the epitaxial growth of Ge on
ing their limits. To be able to produce conducting                           Si(OO1) [3], and SiGe quantum dots grown by the
structures, even with atomic dimensions, new tech-                           codeposition of Si and Ge [4]. The morphology
niques have to be developed which do not involve                             and crystal structure of the dots and clusters are
the use of statistical processes such as etching. At                         determined by preferred adsorption sites, diffusion
the moment, considerable effort is going on to                               properties of the adatoms and lattice mismatch.
investigate the potential of scanning probe micro-                           Also, one-dimensional structures can be formed
scopes to manipulate atoms and clusters on a                                 by processes which involve self-assembly. In partic-
surface into ordered structures (see, for example,                           ular, during the first stages of the growth of group
the quantum corrals of Eigler et al. [l]), or to                             III, IV and V materials onto Si and Ge (001)
modify the surface locally with atomic resolution                            surfaces, chains of dimers are formed [5-71.
VI*                                                                             In the present paper, we present a detailed study
                                                                             of the formation of Si chains on a Si(OO1) surface.
  * Corresponding     author. Fax: +31 15 278 3251;                          We will discuss the formation of the chains starting
e-mail: scholte@duttncb.tn.tudelft.nl                                        from the formation of single dimers. In Section 2

0039-6028/97/$17.00  Copyright   0 1997 Elsevier Science B.V. All rights reserved
PZZ SOO39-6028(96)01535-X
J. van Wingerden et al. j Surface Science 377-379 (1997) 1006-1009

the experimental details are given. Then we will
discuss the preferred adsorption sites of single
dimers and their extension to long chains, before
proceeding to a brief discussion of the electronic
structure of a single dimer chain.


2. Experimental

   The experiments were performed in a UHV
system with a base pressure of 5 x lo-l1 Torr. A
commercial beetle-type scanning tunnelling micro-
scope (STM) was used for measuring constant-
current STM images. The surface dynamics at
room temperature was studied by capturing STM
images at 10 s intervals and combining them into
a movie. Clean Si(OOl)-(2 x 1) surfaces with low
defect density and monolayer steps were prepared
by flashing the surface to 1250°C. Submonolayers
                                                               Fig. 1. Filled ((a) and (c)) and empty ((b) and (d)) state images
of Si were deposited using a commercial miniature
                                                               of isolated Si dimers on a Si(OOl)-(2 x 1) substrate. The letters
electron-beam evaporator. For studies of the room-             refer to the adsorption sites of Fig. 2. Tunnelling conditions:
temperature growth processes, we waited at least               (a)-(d)    Itunnel=0 4 nA; (a) and (c) Vbias=1.3 V, (b)
4 h before deposition after flashing.                          V,,ias=-1.3V, (d) Vbias=-1.15V.



3. Results

   The mobility of Si adatoms is too high to be
able to observe them with STM at room temper-
ature. Only adatoms which are adsorbed at surface
steps or other surface defects can be observed in
empty-state images. Therefore, the pathway for
the formation of dimers from single adatoms is
not directly accessible by STM. Indirect evidence
for this pathway can be obtained from the relative
abundance of the preferred adsorption sites of the             Fig. 2. Schematic drawings of the orientations of isolated
dimers. However, discussion of this formation                  adsorbed dimers and clusters of two dimers on neighbouring
process is beyond the scope of this paper, and will            substrate dimer rows with their notations.
be undertaken elsewhere [8].
   In Fig. 1 both empty-state and filled-state images          67% are at C-positions, while the rest are at either
of single Si dimers are shown. The notation for                A or B positions. The ratio between the occupan-
indicating the different adsorption sites is indicated         cies of A and B sites is approximately 1:lO.
in Fig. 2.                                                        At higher coverages, the dimers start to form
   At room temperature, the abundance of D                     clusters. In Fig. 3 two important types of clusters
dimers is negligible. Furthermore, we have only                are shown: the twin and the cross [9]. The twin
observed D dimers in the direct neighbourhood of               can be considered as a rearranged BB couple,
other dimers or of surface steps, i.e. they are never          where two new substrate dimer bonds are formed
isolated. Of all the isolated dimers, approximately            (see inset in Fig. 3b). It is characterised by the
J. van Wingerden et al. / Surface Science 377-379   (1997) 1006-1009




                                                                        Fig. 4. A V-shaped chain of C dimers along [310] directions.
                                                                        (a) Filled-state image, (b) empty-state image. (c) Metastable
                                                                        adsorption sites for adatoms near to a C dimer. Tunnelling
                                                                        conditions:     Itunnel= 0.4nA, (a) Vbias=1.3V, (b) Vbias=
                                                                        -1.3 v.
Fig. 3. Filled- and empty-state images of a twin and a cross
structure. (a) Filled-state image of a twin, (b) empty-state image
of a twin, (c) filled-state image of a cross structure, (d) empty-
state image of a cross structure. The insets in (b) and (d) show        this process will lead to a chain of C dimers in the
a schematic drawing of a twin and a cross. The horizontal grey          [ 3 lo] direction [ 81. An example is shown in Fig. 4.
lines indicate substrate dimer bonds.                                       Upon further deposition, the diluted dimer rows
                                                                        are transformed into epitaxial chains of BD dimers.
fainter appearance of the B dimers which are                            We observed that this conversion takes place exclu-
involved in the twin, relative to non-bonded B                          sively at the end of the [ 1lo] dimer rows. Both B
dimers (see Fig. 3a).                                                   and D dimers were observed as the last dimers in
   The cross structure is essentially a C dimer with                    the chain. This corroborates a model in which the
two adatoms attached to it, as shown in the inset                       conversion initiates by forming a B dimer from an
of Fig. 3d. The twin is a “closed” structure which                      atom of the outer C dimer with the adatom at the
cannot be easily extended into a chain of dimers.                       end of the diluted dimer row. Repeating this
In contrast, the cross structure can. By adding                         process once more results in the BB twin. Finally,
extra atoms at the adatoms of the cross, a so-called                    a collapse of the twin leads to the formation of an
diluted dimer row of C dimers along [ 1101 is                           epitaxial BD segment, yielding an end sequence of
formed [9]. At the ends of the diluted dimer row,                       C-adatom-B-D.
single adatoms can be attached. It should be noted                          The conductivity of the chains demands special
that this diluted dimer row is essentially non-                         attention, since it is not trivial that a single row
epitaxial, since the orientation of the dimers is                       of atoms will be conducting or semiconducting,
parallel to the substrate dimers.                                       even if the element is. For example, ab-initio
   Also, the C dimers may form ordered structures.                      calculations by Brocks et al. [lo] indicate that a
There are two preferred adsorption sites for single                     single chain of Al dimers may be semiconducting.
adatoms in the neighbourhood of a C dimer. The                          On the other hand, in the case of Au on Si( 11l),
first was indicated above in the cross structure. It                    1D conduction in a cluster of lines has been
is in line with the C-dimer bond (see Fig. 3d). The                     observed [ 111.
second preferred adsorption site is indicated in                            We have calculated the band structure of a single
Fig. 4c. If two adatoms are subsequently adsorbed                       epitaxial dimer chain on a Si(OO1) surface, using
at this site, a new C dimer is formed. Repeating                        a Car-Parrinello        ab-initio method. A detailed
J. van Wingerden et al. / Surface Science 377-379   (1997) 1006-1009                             1009


discussion of the results will be published elsewhere                  along the row. These states appear to be localized
[ 121. From the electron density obtained, the corre-                  on the chain. However, the chains are semicon-
sponding STM image can be computed. The result                         ducting and not metallic. Our calculations show
is shown in the inset of Fig. 5. The surface was                       that it is possible to fill the empty states by doping
prepared by depositing Si at a slightly elevated                       the Si chains with alkali atoms. We find that the
temperature, causing the dimers to line up in dimer                    band structure of the chain essentially does not
rows. The calculation result, placed in line with a                    alter, while the Fermi level shifts upward, resulting
dimer row, shows a good agreement with the                             in a Si dimer chain which conducts in the direction
experiment. We find that the epitaxial dimer chains                    along the chain [ 131.
have empty electron states with a high dispersion

                                                                       References

                                                                         [l] M.F. Crommie, C.P. Lutz and D.M. Eigler, Science 262
                                                                             (1993) 218.
                                                                         [2] D.H. Huang, H. Uchida and M. Aono, Jpn. J. Appl. Phys.
                                                                             31 (1992) 4501.
                                                                         [3] Y.-W. MO. D.E. Savage, B.S. Swartzenruber and M.G.
                                                                             Lagally, Phys. Rev. Lett. 65 (1990) 1020.
                                                                         [4] J. Tersoff, C. Teichert and M.G. Lagally, Phys. Rev. Lett.
                                                                             76 (1996) 1675.
                                                                         [5] J. Nogami, A.A. Baski and C.F. Quate, Phys. Rev. B 44
                                                                             (1991) 1415.
                                                                          61 Y.-W. MO, R. Kariotis, B.S. Swartzenruber, M.B. Webb
                                                                             and M.G. Lagally, J. Vat. Sci. Technol. A 8 (1990) 201.
                                                                          71 J. Nogami, A.A. Baski and C.F. Quate, Appl. Phys. Lett.
                                                                             58 (1991) 475.
                                                                          81 J. van Wingerden, A. van Dam, M.J. Haye, P.M.L.O.
                                                                             Scholte and F. Tuinstra, Phys. Rev. B 55 (1997) 4723.
                                                                          91 A. van Dam, J. van Wingerden, M.J. Haye, P.M.L.O.
                                                                             Scholte and F. Tuinstra, Phys. Rev. B 54 (1996) 1557.
                                                                         lo] G. Brocks, P.J. Kelly and R. Car, J. Vat. Sci. Technol. B
                                                                             12 (1994) 2705.
                                                                         111 I.R. Collins, J.T. Moran, P.T. Andrews, R. Cosso, J.D.
Fig. 5. Filled-state image of epitaxial dimer chains on Si(OOl)-             O’ Mahony, J.F. McGilp and G. Margaritondo, Surf. Sci.
(2 x 1). The inset shows the result of an ab-initio calculation.             325 (1995) 45.
Tunnelling conditions: Itunnel 0.4 nA, Vbias= 1.3 V.
                              =                                        [ 121 M. Haye, to be published.

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2000 surface polymerization of epitaxial sb wires on si(001)
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1994 atomic structure of longitudinal sections of a pitch based carbon fiber ...
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1992 schottky barrier formation in conducting polymers
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1990 crystallization kinetics of thin amorphous in sb films
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1997 nucleation of homoepitaxial si chains on si(001) at room temperature

  • 1. __ @ ELSEVIER Surface Science 377-379 (1997) 1006-1009 Nucleation of homoepitaxial Si chains on Si( 001) at room temperature J. van Wingerden, M.J. Haye, P.M.L.O. Scholte *, F. Tuinstra Delft University of Technology, Applied Physics Department, Lorentzweg I, 2628 CJ De& The Netherlands Received 1 August 1996; accepted for publication 15 October 1996 Abstract Results are presented of a microscopic study of the formation of epitaxial Si dimer chains. We lind that dimers adsorb on a limited number of sites only. Interactions between dimers and diffusing adatoms lead to the formation of three-atom clusters which can be extended to diluted lines of dimers. Only two types of lines are observed: lines along [ 1 lo] and lines along [310]. These lines connect to each other and form a random network. Upon further deposition, the diluted dinner lines transform into epitaxial dimer rows. This transition starts at the end of the lines by reorienting the dimers in the line and adding mobile adatoms. Keywords: Adatoms; Clusters; Epitaxy; Growth; Models of surface kinetics; Molecular beam epitaxy; Nucleation; Scanning tunneling microscopy; Self-assembly; Semiconducting tilms; Silicon; Single crystal epitaxy; Stepped single crystal surfaces; Sticking; Surface diffusion; Surface energy; Surface structure, morphology, roughness, and topography; Vicinal single crystal surfaces 1. Introduction In an alternative approach, structures with atomically sharp boundaries can be made by using With the ongoing miniaturisation in electronic the self-assembly of atoms during deposition. devices, standard lithographic techniques such as Examples are the spontaneous formation of Ge electron-beam lithography and masking are near- hut clusters during the epitaxial growth of Ge on ing their limits. To be able to produce conducting Si(OO1) [3], and SiGe quantum dots grown by the structures, even with atomic dimensions, new tech- codeposition of Si and Ge [4]. The morphology niques have to be developed which do not involve and crystal structure of the dots and clusters are the use of statistical processes such as etching. At determined by preferred adsorption sites, diffusion the moment, considerable effort is going on to properties of the adatoms and lattice mismatch. investigate the potential of scanning probe micro- Also, one-dimensional structures can be formed scopes to manipulate atoms and clusters on a by processes which involve self-assembly. In partic- surface into ordered structures (see, for example, ular, during the first stages of the growth of group the quantum corrals of Eigler et al. [l]), or to III, IV and V materials onto Si and Ge (001) modify the surface locally with atomic resolution surfaces, chains of dimers are formed [5-71. VI* In the present paper, we present a detailed study of the formation of Si chains on a Si(OO1) surface. * Corresponding author. Fax: +31 15 278 3251; We will discuss the formation of the chains starting e-mail: scholte@duttncb.tn.tudelft.nl from the formation of single dimers. In Section 2 0039-6028/97/$17.00 Copyright 0 1997 Elsevier Science B.V. All rights reserved PZZ SOO39-6028(96)01535-X
  • 2. J. van Wingerden et al. j Surface Science 377-379 (1997) 1006-1009 the experimental details are given. Then we will discuss the preferred adsorption sites of single dimers and their extension to long chains, before proceeding to a brief discussion of the electronic structure of a single dimer chain. 2. Experimental The experiments were performed in a UHV system with a base pressure of 5 x lo-l1 Torr. A commercial beetle-type scanning tunnelling micro- scope (STM) was used for measuring constant- current STM images. The surface dynamics at room temperature was studied by capturing STM images at 10 s intervals and combining them into a movie. Clean Si(OOl)-(2 x 1) surfaces with low defect density and monolayer steps were prepared by flashing the surface to 1250°C. Submonolayers Fig. 1. Filled ((a) and (c)) and empty ((b) and (d)) state images of Si were deposited using a commercial miniature of isolated Si dimers on a Si(OOl)-(2 x 1) substrate. The letters electron-beam evaporator. For studies of the room- refer to the adsorption sites of Fig. 2. Tunnelling conditions: temperature growth processes, we waited at least (a)-(d) Itunnel=0 4 nA; (a) and (c) Vbias=1.3 V, (b) 4 h before deposition after flashing. V,,ias=-1.3V, (d) Vbias=-1.15V. 3. Results The mobility of Si adatoms is too high to be able to observe them with STM at room temper- ature. Only adatoms which are adsorbed at surface steps or other surface defects can be observed in empty-state images. Therefore, the pathway for the formation of dimers from single adatoms is not directly accessible by STM. Indirect evidence for this pathway can be obtained from the relative abundance of the preferred adsorption sites of the Fig. 2. Schematic drawings of the orientations of isolated dimers. However, discussion of this formation adsorbed dimers and clusters of two dimers on neighbouring process is beyond the scope of this paper, and will substrate dimer rows with their notations. be undertaken elsewhere [8]. In Fig. 1 both empty-state and filled-state images 67% are at C-positions, while the rest are at either of single Si dimers are shown. The notation for A or B positions. The ratio between the occupan- indicating the different adsorption sites is indicated cies of A and B sites is approximately 1:lO. in Fig. 2. At higher coverages, the dimers start to form At room temperature, the abundance of D clusters. In Fig. 3 two important types of clusters dimers is negligible. Furthermore, we have only are shown: the twin and the cross [9]. The twin observed D dimers in the direct neighbourhood of can be considered as a rearranged BB couple, other dimers or of surface steps, i.e. they are never where two new substrate dimer bonds are formed isolated. Of all the isolated dimers, approximately (see inset in Fig. 3b). It is characterised by the
  • 3. J. van Wingerden et al. / Surface Science 377-379 (1997) 1006-1009 Fig. 4. A V-shaped chain of C dimers along [310] directions. (a) Filled-state image, (b) empty-state image. (c) Metastable adsorption sites for adatoms near to a C dimer. Tunnelling conditions: Itunnel= 0.4nA, (a) Vbias=1.3V, (b) Vbias= -1.3 v. Fig. 3. Filled- and empty-state images of a twin and a cross structure. (a) Filled-state image of a twin, (b) empty-state image of a twin, (c) filled-state image of a cross structure, (d) empty- state image of a cross structure. The insets in (b) and (d) show this process will lead to a chain of C dimers in the a schematic drawing of a twin and a cross. The horizontal grey [ 3 lo] direction [ 81. An example is shown in Fig. 4. lines indicate substrate dimer bonds. Upon further deposition, the diluted dimer rows are transformed into epitaxial chains of BD dimers. fainter appearance of the B dimers which are We observed that this conversion takes place exclu- involved in the twin, relative to non-bonded B sively at the end of the [ 1lo] dimer rows. Both B dimers (see Fig. 3a). and D dimers were observed as the last dimers in The cross structure is essentially a C dimer with the chain. This corroborates a model in which the two adatoms attached to it, as shown in the inset conversion initiates by forming a B dimer from an of Fig. 3d. The twin is a “closed” structure which atom of the outer C dimer with the adatom at the cannot be easily extended into a chain of dimers. end of the diluted dimer row. Repeating this In contrast, the cross structure can. By adding process once more results in the BB twin. Finally, extra atoms at the adatoms of the cross, a so-called a collapse of the twin leads to the formation of an diluted dimer row of C dimers along [ 1101 is epitaxial BD segment, yielding an end sequence of formed [9]. At the ends of the diluted dimer row, C-adatom-B-D. single adatoms can be attached. It should be noted The conductivity of the chains demands special that this diluted dimer row is essentially non- attention, since it is not trivial that a single row epitaxial, since the orientation of the dimers is of atoms will be conducting or semiconducting, parallel to the substrate dimers. even if the element is. For example, ab-initio Also, the C dimers may form ordered structures. calculations by Brocks et al. [lo] indicate that a There are two preferred adsorption sites for single single chain of Al dimers may be semiconducting. adatoms in the neighbourhood of a C dimer. The On the other hand, in the case of Au on Si( 11l), first was indicated above in the cross structure. It 1D conduction in a cluster of lines has been is in line with the C-dimer bond (see Fig. 3d). The observed [ 111. second preferred adsorption site is indicated in We have calculated the band structure of a single Fig. 4c. If two adatoms are subsequently adsorbed epitaxial dimer chain on a Si(OO1) surface, using at this site, a new C dimer is formed. Repeating a Car-Parrinello ab-initio method. A detailed
  • 4. J. van Wingerden et al. / Surface Science 377-379 (1997) 1006-1009 1009 discussion of the results will be published elsewhere along the row. These states appear to be localized [ 121. From the electron density obtained, the corre- on the chain. However, the chains are semicon- sponding STM image can be computed. The result ducting and not metallic. Our calculations show is shown in the inset of Fig. 5. The surface was that it is possible to fill the empty states by doping prepared by depositing Si at a slightly elevated the Si chains with alkali atoms. We find that the temperature, causing the dimers to line up in dimer band structure of the chain essentially does not rows. The calculation result, placed in line with a alter, while the Fermi level shifts upward, resulting dimer row, shows a good agreement with the in a Si dimer chain which conducts in the direction experiment. We find that the epitaxial dimer chains along the chain [ 131. have empty electron states with a high dispersion References [l] M.F. Crommie, C.P. Lutz and D.M. Eigler, Science 262 (1993) 218. [2] D.H. Huang, H. Uchida and M. Aono, Jpn. J. Appl. Phys. 31 (1992) 4501. [3] Y.-W. MO. D.E. Savage, B.S. Swartzenruber and M.G. Lagally, Phys. Rev. Lett. 65 (1990) 1020. [4] J. Tersoff, C. Teichert and M.G. Lagally, Phys. Rev. Lett. 76 (1996) 1675. [5] J. Nogami, A.A. Baski and C.F. Quate, Phys. Rev. B 44 (1991) 1415. 61 Y.-W. MO, R. Kariotis, B.S. Swartzenruber, M.B. Webb and M.G. Lagally, J. Vat. Sci. Technol. A 8 (1990) 201. 71 J. Nogami, A.A. Baski and C.F. Quate, Appl. Phys. Lett. 58 (1991) 475. 81 J. van Wingerden, A. van Dam, M.J. Haye, P.M.L.O. Scholte and F. Tuinstra, Phys. Rev. B 55 (1997) 4723. 91 A. van Dam, J. van Wingerden, M.J. Haye, P.M.L.O. Scholte and F. Tuinstra, Phys. Rev. B 54 (1996) 1557. lo] G. Brocks, P.J. Kelly and R. Car, J. Vat. Sci. Technol. B 12 (1994) 2705. 111 I.R. Collins, J.T. Moran, P.T. Andrews, R. Cosso, J.D. Fig. 5. Filled-state image of epitaxial dimer chains on Si(OOl)- O’ Mahony, J.F. McGilp and G. Margaritondo, Surf. Sci. (2 x 1). The inset shows the result of an ab-initio calculation. 325 (1995) 45. Tunnelling conditions: Itunnel 0.4 nA, Vbias= 1.3 V. = [ 121 M. Haye, to be published.