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Ëîâóøêè äëÿ
       ïðîñòðàíñòâåííî-íåïðÿìûõ
                   ýêñèòîíîâ â
      GaAs/AlGaAs-ãåòåðîñòðóêòóðàõ


                      ļìèí Äìèòðèé
           Èíñòèòóò ôèçèêè òâåðäîãî òåëà ÐÀÍ

      Íàó÷íûé ðóêîâîäèòåëüX êF ôFEìF íF Ãîðáóíîâ ÀFÂF

                            èþíü 2011

1/1               ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ
ÁÝÊ â 2D ãàçå

           ÷èñòî äâóìåðíîì ñëó÷àå Tc = 0
          Ëàòåðàëüíàÿ ëîâóøêàX Tc = 0
      Êðèòè÷åñêàÿ òåìïåðàòóðà èäåàëüíîãî ãàçà â
      ëîâóøêå

                           2π 2Nex
                 Tc ≈
                      gexmex ln (NexS/gex)
      Äëÿ mex = 0.2me D Nex /gex = 1010 ñì @q—esA è
      √
                                              -2


        S a I ìêì

                              Tc ≈ 1 K

2/1                    ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ
Îáðàçöû


      Ãåòåðîñòðóêòóðû
                                                    Ñõåìà
                                                    ïåðåõîäîâ
                                                                  E


                                                                      -

                                                              -
                                                                          D
                                                                  I

                                                          D
                                                                      +

                                                              +




           (a)   RHH ¦ ƒ‡D eles áàðüåðû @äî RHH íñA
                     e
           (b)   PSH ¦ ƒ‡D elq—es áàðüåðû @îêîëî I íñA
                     e

3/1                   ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ
Ýëåêòðîñòàòè÷åñêàÿ ëîâóøêà



      Òåîðèÿ
                                      Ýêñïåðèìåíò
                                                        10 µm

                                                                U(r)


                                      5 meV



                                                         8 µm          r




         Îáðàçóåòñÿ âäîëü êðàÿ îòâåðñòèÿ â ìàñêå
         Â ýëåêòðîñòàòèêå ! ñíàðóæè îòâåðñòèÿ
         Ïðè íàëè÷èè ýêðàíèðîâàíèÿ ! âíóòðè îòâåðñòèÿ


4/1                  ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ
Ïÿòíà ëþìèíåñöåíöèè




              ø5 µm     ø4 µm 5x5 µm            2 ø5 µm                2 5x5 µm



                                                      Ïÿòíà âèäíû òîëüêî
                                                      ïðè ñïåêòðàëüíîé
      [110]                                           ñåëåêöèè ëèíèè
                      5x10 µm        5x10 µm
                                                      ïðîñòðàíñòâåííîE
                                                      íåïðÿìîãî ýêñèòîíàF
                       [110]

5/1                            ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ
Ïÿòíà ëþìèíåñöåíöèè: ýôôåêò
 çàðÿäêè

                                           Imin                                            Imax − Imin
                                                                              c=
                                           Imax                                            Imax + Imin

      Íåéòðàëüíàÿ ÿìà                                                         Çàðÿæåííàÿ ÿìà
                                                                                                                                    P633 nm, µW
                            I line                              P633 nm, µW
      charged D line                                                                        I line                      D line
                                                                                charged complex                                           400
      charged I line                                                  100                                                                 200
                                                   D line             10      1.5x10
                                                                                       4                                                  150
                                                                      1                                                                   100
                4
                                                                      0.7                                                                 50
       5.0x10
                                                                      0.5     1.0x10
                                                                                       4

                                                                                                                                          10
                                                                      0.3                                                                 1
                                                                      0.25             3
                                                                                                                                          0.1
                                                                              5.0x10
                                                                      0.2
                                                                                                                                          0.01
                                                                      0.1
          0.0
            1.505   1.510        1.515     1.520        1.525
                                                                                                                                          0.0
                                                                                   1.505   1.510      1.515     1.520       1.525
                              energy, eV
                                                                                                   energy, eV




6/1                                                         ļìèí Äìèòðèé     Ëîâóøêè äëÿ ýêñèòîíîâ
Ïÿòíà ëþìèíåñöåíöèè: ýôôåêò
 çàðÿäêè

                       0.5
                                                                           indirect exciton
                      0.45

                       0.4

                      0.35
                             I line appears

                       0.3
           contrast




                      0.25

                       0.2

                      0.15

                       0.1

                      0.05

                        0     −2              −1        0          1          2               3
                             10          10         10           10         10            10
                                                   P633 nm, µ W

      Ëþìèíåñöåíöèÿ çàðÿæåííûõ êîìïëåêñîâ íå ñîçäàåò
      ïÿòíèñòîé ñòðóêòóðû
7/1                                     ļìèí Äìèòðèé       Ëîâóøêè äëÿ ýêñèòîíîâ
Ïÿòíà ëþìèíåñöåíöèè: âëèÿíèå
 òåìïåðàòóðû

                                        0.6                         Contrast of spot pattern
              (Imax-Imin)/(Imax+Imin)                               Intensity of spectral line


                                        0.4




                                                                                             Intensity
                                        0.2



                                        0.0                                                 0
                                              1               5     10
                                                                  T, K

      Ïÿòíà èñ÷åçàþò îäíîâðåìåííî ñ ëèíèåé áîçåEêîíäåíñàòà
      íåïðÿìûõ ýêñèòîíîâ
8/1                                               ļìèí Äìèòðèé    Ëîâóøêè äëÿ ýêñèòîíîâ
Îïòè÷åñêàÿ ëîâóøêà

       Áåç ñâåòà                         Êîëüöåâîå ôîòîE         Ýêðàíèðîâàíèå
                                         âîçáóæäåíèå             âíåøíåãî ïîëÿ
         Полупрозрачный электрод.
                                                                 δUStark = −eEd
                   E
                                                                 Ìåæýêñèòîííîå
  E
  E0
                                    E
                                    E0
                                                                 âçàèìîäåéñòâèå
                           x                             x
                                                                 (blue shift)


                                                                                 e2 d
  U                                 U
                           x                             x

  U0                                U0
                                                                        δU =            nex
                                                                                   0
              а)                                б)



       Â öåíòðå êîëüöåâîãî ôîòîâîçáóæäåíèÿ ! ìèíèìóì ýíåðãèè
       ýêñèòîíîâ
9/1                                      ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ
Ëþìèíåñöåíöèÿ èç îïòè÷åñêîé
 ëîâóøêè



          Ø23 µm


                   (a)                      (b)                     (c)
       l—ser                 lumines™en™e              indire™t ex™itons
                             @tot—lA
                             ÊÑ-19                     820/0.7 íì




10/1                     ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ
Ïðîôèëü îïòè÷åñêîé ëîâóøêè

                 ø40 µm
       5.5 мэВ




                 12 кВ/см      13 кВ/см          14 кВ/см           16 кВ/см
                  ø40 µm
       5.5 мэВ




                 5 мкВт         30 мкВт          100 мкВт           185 мкВт
11/1                        ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ
Êîëüöåâàÿ îïòè÷åñêàÿ ëîâóøêà



                          Лазерная            Ïàðàìåòðû ëîâóøêè
                          накачка
                                              Ãëóáèíà δU ≈ 2 ìýÂ
                                              Ðàäèóñ r = 20 ìêì
                                              Âðåìÿ æèçíè τ ≈ 10 íñ


                            Энергия
  4.2 meV                                     Ïàðàìåòðû ãàçà
                                              ýêñèòîíîâ
                                              v = 0.2 · 106 cm/s vs
                                              b = 0.2 · 106 cm2 /(s · V )
            ø40 µm




12/1            ļìèí Äìèòðèé         Ëîâóøêè äëÿ ýêñèòîíîâ
Ñïåêòðû ôîòîëþìèíåñöåíöèè

       Îäíîðîäíîå                                                                                  Êîëüöåâàÿ ëîâóøêà
       ôîòîâîçáóæäåíèå




                                                                                                   intensity, a.u.
                                                                                                                      10000
       FWHM, meV Energy, eV Intensity, a.u.




                                               2000                                                                       5000



                                               1000
                                                                                                                            0


                                                   0




                                                                                                   FWHM, meV energy, eV
                                              1.4885
                                                                                                                     1.4900

                                              1.4880
                                                                                                                     1.4895

                                              1.4875



                                                 2.0
                                                                                                                           1.5




                                                 1.5
                                                                                                                           1.0
                                                                                                                                 0   50    100    150   200

                                                       0   20   40   60   80    100   120   140

                                                                     P, µW                                                                P, µW
13/1                                                                           ļìèí Äìèòðèé      Ëîâóøêè äëÿ ýêñèòîíîâ
Çàêëþ÷åíèå


       Ýëåêòðîñòàòè÷åñêàÿ ëîâóøêàX     çàâèñèìîñòè
       âèäíîñòè ïÿòåí ëþìèíåñöåíöèè îò òåìïåðàòóðû è
       êîíöåíòðàöèè ýêñèòîíîâ ñîãëàñóþòñÿ ñ
       ïðåäïîëîæåíèåì î áîçåEýéíøòåéíîâñêîì ïåðåõîäå â
       ãàçå äèïîëÿðíûõ ýêñèòîíîâF
       Ñ ïîìîùüþ êîëüöåâîãî ôîòîâîçáóæäåíèÿ ðåàëèçîâàíà
       îïòè÷åñêàÿ ëîâóøêàD ïàðàìåòðàìè êîòîðîé ìîæíî
       óïðàâëÿòü êàê îïòè÷åñêîé íàêà÷êîéD òàê è âíåøíèì
       ýëåêòðè÷åñêèì ïîëåìF Îáíàðóæåííîå â êîëüöåâîé
       îïòè÷åñêîé ëîâóøêå ñóæåíèå ëèíèè íåïðÿìûõ
       ýêñèòîíîâ ñ ðîñòîì èõ êîíöåíòðàöèè ñâèäåòåëüñòâóåò
       î ñóæåíèè ðàñïðåäåëåíèÿ ýêñèòîíîâ â kEïðîñòðàíñòâåF

14/1               ļìèí Äìèòðèé   Ëîâóøêè äëÿ ýêñèòîíîâ

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Presentation

  • 1. Ëîâóøêè äëÿ ïðîñòðàíñòâåííî-íåïðÿìûõ ýêñèòîíîâ â GaAs/AlGaAs-ãåòåðîñòðóêòóðàõ ļìèí Äìèòðèé Èíñòèòóò ôèçèêè òâåðäîãî òåëà ÐÀÍ Íàó÷íûé ðóêîâîäèòåëüX êF ôFEìF íF Ãîðáóíîâ ÀFÂF èþíü 2011 1/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 2. ÁÝÊ â 2D ãàçå  ÷èñòî äâóìåðíîì ñëó÷àå Tc = 0 Ëàòåðàëüíàÿ ëîâóøêàX Tc = 0 Êðèòè÷åñêàÿ òåìïåðàòóðà èäåàëüíîãî ãàçà â ëîâóøêå 2π 2Nex Tc ≈ gexmex ln (NexS/gex) Äëÿ mex = 0.2me D Nex /gex = 1010 ñì @q—esA è √ -2 S a I ìêì Tc ≈ 1 K 2/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 3. Îáðàçöû Ãåòåðîñòðóêòóðû Ñõåìà ïåðåõîäîâ E - - D I D + + (a) RHH ¦ ƒ‡D eles áàðüåðû @äî RHH íñA e (b) PSH ¦ ƒ‡D elq—es áàðüåðû @îêîëî I íñA e 3/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 4. Ýëåêòðîñòàòè÷åñêàÿ ëîâóøêà Òåîðèÿ Ýêñïåðèìåíò 10 µm U(r) 5 meV 8 µm r Îáðàçóåòñÿ âäîëü êðàÿ îòâåðñòèÿ â ìàñêå  ýëåêòðîñòàòèêå ! ñíàðóæè îòâåðñòèÿ Ïðè íàëè÷èè ýêðàíèðîâàíèÿ ! âíóòðè îòâåðñòèÿ 4/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 5. Ïÿòíà ëþìèíåñöåíöèè ø5 µm ø4 µm 5x5 µm 2 ø5 µm 2 5x5 µm Ïÿòíà âèäíû òîëüêî ïðè ñïåêòðàëüíîé [110] ñåëåêöèè ëèíèè 5x10 µm 5x10 µm ïðîñòðàíñòâåííîE íåïðÿìîãî ýêñèòîíàF [110] 5/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 6. Ïÿòíà ëþìèíåñöåíöèè: ýôôåêò çàðÿäêè Imin Imax − Imin c= Imax Imax + Imin Íåéòðàëüíàÿ ÿìà Çàðÿæåííàÿ ÿìà P633 nm, µW I line P633 nm, µW charged D line I line D line charged complex 400 charged I line 100 200 D line 10 1.5x10 4 150 1 100 4 0.7 50 5.0x10 0.5 1.0x10 4 10 0.3 1 0.25 3 0.1 5.0x10 0.2 0.01 0.1 0.0 1.505 1.510 1.515 1.520 1.525 0.0 1.505 1.510 1.515 1.520 1.525 energy, eV energy, eV 6/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 7. Ïÿòíà ëþìèíåñöåíöèè: ýôôåêò çàðÿäêè 0.5 indirect exciton 0.45 0.4 0.35 I line appears 0.3 contrast 0.25 0.2 0.15 0.1 0.05 0 −2 −1 0 1 2 3 10 10 10 10 10 10 P633 nm, µ W Ëþìèíåñöåíöèÿ çàðÿæåííûõ êîìïëåêñîâ íå ñîçäàåò ïÿòíèñòîé ñòðóêòóðû 7/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 8. Ïÿòíà ëþìèíåñöåíöèè: âëèÿíèå òåìïåðàòóðû 0.6 Contrast of spot pattern (Imax-Imin)/(Imax+Imin) Intensity of spectral line 0.4 Intensity 0.2 0.0 0 1 5 10 T, K Ïÿòíà èñ÷åçàþò îäíîâðåìåííî ñ ëèíèåé áîçåEêîíäåíñàòà íåïðÿìûõ ýêñèòîíîâ 8/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 9. Îïòè÷åñêàÿ ëîâóøêà Áåç ñâåòà Êîëüöåâîå ôîòîE Ýêðàíèðîâàíèå âîçáóæäåíèå âíåøíåãî ïîëÿ Полупрозрачный электрод. δUStark = −eEd E Ìåæýêñèòîííîå E E0 E E0 âçàèìîäåéñòâèå x x (blue shift) e2 d U U x x U0 U0 δU = nex 0 а) б)  öåíòðå êîëüöåâîãî ôîòîâîçáóæäåíèÿ ! ìèíèìóì ýíåðãèè ýêñèòîíîâ 9/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 10. Ëþìèíåñöåíöèÿ èç îïòè÷åñêîé ëîâóøêè Ø23 µm (a) (b) (c) l—ser lumines™en™e indire™t ex™itons @tot—lA ÊÑ-19 820/0.7 íì 10/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 11. Ïðîôèëü îïòè÷åñêîé ëîâóøêè ø40 µm 5.5 мэВ 12 кВ/см 13 кВ/см 14 кВ/см 16 кВ/см ø40 µm 5.5 мэВ 5 мкВт 30 мкВт 100 мкВт 185 мкВт 11/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 12. Êîëüöåâàÿ îïòè÷åñêàÿ ëîâóøêà Лазерная Ïàðàìåòðû ëîâóøêè накачка Ãëóáèíà δU ≈ 2 ìý Ðàäèóñ r = 20 ìêì Âðåìÿ æèçíè τ ≈ 10 íñ Энергия 4.2 meV Ïàðàìåòðû ãàçà ýêñèòîíîâ v = 0.2 · 106 cm/s vs b = 0.2 · 106 cm2 /(s · V ) ø40 µm 12/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 13. Ñïåêòðû ôîòîëþìèíåñöåíöèè Îäíîðîäíîå Êîëüöåâàÿ ëîâóøêà ôîòîâîçáóæäåíèå intensity, a.u. 10000 FWHM, meV Energy, eV Intensity, a.u. 2000 5000 1000 0 0 FWHM, meV energy, eV 1.4885 1.4900 1.4880 1.4895 1.4875 2.0 1.5 1.5 1.0 0 50 100 150 200 0 20 40 60 80 100 120 140 P, µW P, µW 13/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ
  • 14. Çàêëþ÷åíèå Ýëåêòðîñòàòè÷åñêàÿ ëîâóøêàX çàâèñèìîñòè âèäíîñòè ïÿòåí ëþìèíåñöåíöèè îò òåìïåðàòóðû è êîíöåíòðàöèè ýêñèòîíîâ ñîãëàñóþòñÿ ñ ïðåäïîëîæåíèåì î áîçåEýéíøòåéíîâñêîì ïåðåõîäå â ãàçå äèïîëÿðíûõ ýêñèòîíîâF Ñ ïîìîùüþ êîëüöåâîãî ôîòîâîçáóæäåíèÿ ðåàëèçîâàíà îïòè÷åñêàÿ ëîâóøêàD ïàðàìåòðàìè êîòîðîé ìîæíî óïðàâëÿòü êàê îïòè÷åñêîé íàêà÷êîéD òàê è âíåøíèì ýëåêòðè÷åñêèì ïîëåìF Îáíàðóæåííîå â êîëüöåâîé îïòè÷åñêîé ëîâóøêå ñóæåíèå ëèíèè íåïðÿìûõ ýêñèòîíîâ ñ ðîñòîì èõ êîíöåíòðàöèè ñâèäåòåëüñòâóåò î ñóæåíèè ðàñïðåäåëåíèÿ ýêñèòîíîâ â kEïðîñòðàíñòâåF 14/1 ļìèí Äìèòðèé Ëîâóøêè äëÿ ýêñèòîíîâ