Issues

 / 

2021

 / 

September

  

Reviews of topical problems


Theory of optically detected spin noise in nanosystems

  a, b,   c, §  a
a Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation
b Spin Optics Laboratory, St. Petersburg State University, ul. Ulyanovskaya 1, Saint-Petersburg, 198504, Russian Federation
c Lomonosov Moscow State University, Vorobevy Gory, Moscow, 119991, Russian Federation

The theory of spin noise in low-dimensional systems and bulk semiconductors is reviewed. Spin noise is usually detected by optical means continuously measuring the rotation angle of the polarization direction of a probe beam passing through a sample. Spin noise spectra yield rich information about the spin properties of the system, for example, g-factors of the charge carriers, spin relaxation times, parameters of the hyperfine interaction, spin-orbit coupling constants, and frequencies and widths of the optical resonances. The review describes basic models of spin noise, methods to theoretically describe it, and its relation to experimental results. We also discuss the relation between spin noise spectroscopy and strong and weak quantum measurements, as well as spin flip Raman scattering, and analyze similar effects, including manifestations of the charge, current, and valley polarization fluctuations in the optical response. Possible directions for further development of spin noise spectroscopy are outlined.

Fulltext pdf (1.5 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2020.10.038861
Keywords: spin noise, spin correlation functions, nanosystems, quantum dots, nanowires, quantum wells, spin Faraday effect, hyperfine interaction, exchange interaction, spin-orbit coupling
PACS: 72.70.+m, 78.67.−n (all)
DOI: 10.3367/UFNe.2020.10.038861
URL: https://ufn.ru/en/articles/2021/9/c/
000722209600003
2-s2.0-85120789703
2021PhyU...64..923S
Citation: Smirnov D S, Mantsevich V N, Glazov M M "Theory of optically detected spin noise in nanosystems" Phys. Usp. 64 923–946 (2021)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 6th, July 2020, 25th, October 2020

Оригинал: Смирнов Д С, Манцевич В Н, Глазов М М «Теория оптически детектируемых спиновых флуктуаций в наносистемах» УФН 191 973–998 (2021); DOI: 10.3367/UFNr.2020.10.038861

References (200) ↓ Cited by (19) Similar articles (20)

  1. Glazov M M Electron And Nuclear Spin Dynamics In Semiconductor Nanostructures (New York: Oxford Univ. Press, 2018)
  2. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Fizmatlit, 2005); Per. na angl. yaz., Landau L D, Lifshitz E M Statistical Physics (Oxford: Pergamon Press, 1980)
  3. Lifshits E M, Pitaevskii L P Fizicheskaya Kinetika (M.: Fizmatlit, 2007); Per. na angl. yaz., Lifshitz E M, Pitaevskii L P Physical Kinetics (Oxford: Pergamon Press, 1981)
  4. Aleksandrov E B, Zapasskii V S Zh. Eksp. Teor. Fiz. 81 132 (1981); Aleksandrov E B, Zapasskii V S Sov. Phys. JETP 54 64 (1981)
  5. Sørensen J L, Hald J, Polzik E S Phys. Rev. Lett. 80 3487 (1998)
  6. Mitsui T Phys. Rev. Lett. 84 5292 (2000)
  7. Crooker S A et al Nature 431 49 (2004)
  8. Oestreich M et al Phys. Rev. Lett. 95 216603 (2005)
  9. Crooker S A, Cheng L, Smith D L Phys. Rev. B 79 035208 (2009)
  10. Römer M et al Phys. Rev. B 81 075216 (2010)
  11. Müller G M et al Phys. Rev. Lett. 101 206601 (2008)
  12. Crooker S A et al Phys. Rev. Lett. 104 036601 (2010)
  13. Li Y et al Phys. Rev. Lett. 108 186603 (2012)
  14. Dahbashi R et al Phys. Rev. Lett. 112 156601 (2014)
  15. Dyakonov M I (Ed.) Spin Physics In Semiconductors (Cham: Springer Intern. Publ., 2017)
  16. Aleksandrov E B, Zapasskii V S J. Phys. Conf. Ser. 324 012002 (2011)
  17. Müller G M et al Physica E 43 569 (2010)
  18. Zapasskii V S Adv. Opt. Photon. 5 131 (2013)
  19. Hübner J et al Phys. Status Solidi B 251 1824 (2014)
  20. Sinitsyn N A, Pershin Yu V Rep. Prog. Phys. 79 106501 (2016)
  21. Sleator T et al Phys. Rev. Lett. 55 1742 (1985)
  22. Reim W et al Phys. Rev. Lett. 57 905 (1986)
  23. Manassen Y et al Phys. Rev. Lett. 62 2531 (1989)
  24. Durkan C, Welland M E Appl. Phys. Lett. 80 458 (2002)
  25. Rugar D et al Nature 430 329 (2004)
  26. Degen C L et al Phys. Rev. Lett. 99 250601 (2007)
  27. Lax M Rev. Mod. Phys. 32 25 (1960)
  28. Lax M Rev. Mod. Phys. 38 541 (1966)
  29. Gantsevich S V, Gurevich V L, Katilius R Riv. Nuovo Cimento 2 1 (1979)
  30. Glazov M M, Ivchenko E L Phys. Rev. B 86 115308 (2012)
  31. Glazov M M J. Appl. Phys. 113 136503 (2013)
  32. Smirnov D S, Glazov M M Phys. Rev. B 90 085303 (2014)
  33. Glazov M M Zh. Eksp. Teor. Fiz. 149 547 (2016); Glazov M M J. Exp. Theor. Phys. 122 472 (2016)
  34. Onsager L Phys. Rev. 37 405 (1931)
  35. Gorbovitskii P M, Perel’ V I Optika Spektr. 54 388 (1983); Gorbovitskii P M, Perel’ V I Opt. Spectrosc. 54 229 (1983)
  36. Glazov M M, Zapasskii V S Opt. Express 23 11713 (2015)
  37. Cronenberger S, Scalbert D Rev. Sci. Instrum. 87 093111 (2016)
  38. Abragam A The Principles Of Nuclear Magnetism (Oxford: Clarendon Press, 1961); Per. na russk. yaz., Abragam A Yadernyi Magnetizm (M.: Ripol Klassik, 2013)
  39. Gaudin M J. Phys. France 37 1087 (1976)
  40. Yang W, Ma W-L, Liu R-B Rep. Prog. Phys. 80 016001 (2017)
  41. Merkulov I A, Efros Al L, Rosen M Phys. Rev. B 65 205309 (2002)
  42. Ivchenko E L Optical Spectroscopy Of Semiconductor Nanostructures (Harrow: Alpha Science, 2005)
  43. Urbaszek B et al Rev. Mod. Phys. 85 79 (2013)
  44. Bortz M, Stolze J J. Stat. Mech. 6 P06018 (2007)
  45. Kozlov G G Zh. Eksp. Teor. Fiz. 132 918 (2007); Kozlov G G J. Exp. Theor. Phys. 105 803 (2007)
  46. Shumilin A V, Smirnov D S Phys. Rev. Lett. 126 216804 (2021)
  47. Glasenapp Ph et al Phys. Rev. B 93 205429 (2016)
  48. Hackmann J, Anders F B Phys. Rev. B 89 045317 (2014)
  49. Hackmann J et al Phys. Rev. Lett. 115 207401 (2015)
  50. Hackmann J et al Phys. Status Solidi B 251 1270 (2014)
  51. Braun M, König J Phys. Rev. B 75 085310 (2007)
  52. Yue Z, Raikh M E Phys. Rev. B 91 155301 (2015)
  53. Poshakinskiy A V, Tarasenko S A Phys. Rev. B 101 075403 (2020)
  54. Glasenapp P et al Phys. Rev. Lett. 113 156601 (2014)
  55. Horn H et al Phys. Rev. B 87 045312 (2013)
  56. Kopteva N E et al Phys. Rev. B 100 205415 (2019)
  57. Fröhling N, Anders F B, Glazov M Phys. Rev. B 97 195311 (2018)
  58. Landau L D, Lifshits E M Kvantovaya Mekhanika (nerelyativistskaya Teoriya ) (M.: Fizmatlit, 2004); Per. na angl. yaz., Landau L D, Lifshitz E M Quantum Mechanics. Non-Relativistic Theory (Oxford: Pergamon Press, 1977)
  59. Dzhioev R I et al Phys. Rev. Lett. 88 256801 (2002)
  60. Dzhioev R I et al Phys. Rev. B 66 245204 (2002)
  61. Smirnov D S, Glazov M M, Ivchenko E L Fiz. Tverd. Tela 56 254 (2014); Smirnov D S, Glazov M M, Ivchenko E L Phys. Solid State 56 254 (2014)
  62. Kavokin K V Semicond. Sci. Technol. 23 114009 (2008)
  63. Cronenberger S et al arXiv:1910.11805
  64. Glazov M M Phys. Rev. B 91 195301 (2015)
  65. Berski F et al Phys. Rev. Lett. 115 176601 (2015)
  66. Mantsevich V N, Smirnov D S Phys. Rev. B 100 075409 (2019)
  67. Ono K et al Science 297 1313 (2002)
  68. Johnson A C et al Phys. Rev. B 72 165308 (2005)
  69. Shumilin A V, Kabanov V V Phys. Rev. B 92 014206 (2015)
  70. Parameswaran S A, Vasseur R Rep. Prog. Phys. 81 082501 (2018)
  71. Abanin D A et al Rev. Mod. Phys. 91 021001 (2019)
  72. Lifshits I M Usp. Fiz. Nauk 83 617 (1964); Lifshitz I M Sov. Phys. Usp. 7 549 (1965)
  73. Shklovskii B I, Efros A L Elektronnye Svoistva Legirovannykh Poluprovodnikov (M.: Nauka, 1979); Per. na angl. yaz., Shklovskii B I, Efros A L Electronic Properties Of Doped Semiconductors (Berlin: Springer-Verlag, 1984)
  74. Shumilin A V J. Phys. Condens. Matter 28 395301 (2016)
  75. Kogan Sh M, Shul’man A Ya Zh. Eksp. Teor. Fiz. 56 862 (1969); Kogan Sh M, Shul’man A Ya Sov. Phys. JETP 29 467 (1969)
  76. Kogan Sh Electronic Noise And Fluctuations In Solids (Cambridge: Cambridge Univ. Press, 2008)
  77. Ivchenko E L Fiz. Tekh. Poluprovodn. 7 1489 (1973); Ivchenko E L Sov. Phys. Semicond. 7 998 (1973)
  78. Gangloff D A et al Science 364 62 (2019)
  79. Smirnov D S Phys. Rev. B 91 205301 (2015)
  80. Greilich A et al Science 317 1896 (2007)
  81. Glazov M M, Yugova I A, Efros Al L Phys. Rev. B 85 041303 (2012)
  82. Jäschke N, Anders F B, Glazov M M Phys. Rev. B 98 045307 (2018)
  83. Poltavtsev S V et al Phys. Rev. B 89 081304 (2014)
  84. Smirnov D S et al Phys. Rev. B 95 241408 (2017)
  85. Astakhov G V et al Semicond. Sci. Technol. 23 114001 (2008)
  86. Kavokin A et al Microcavities (Ser. On Semiconductor Science And Technology, No. 16) (Oxford: Oxford Univ. Press, 2011)
  87. Khalfin L A Zh. Eksp. Teor. Fiz. 33 1371 (1957); KhalfL A Sov. Phys. JETP 6 1053 (1958)
  88. Facchi P, Pascazio S J. Phys. A 41 493001 (2008)
  89. Leppenen N V, Lanco L, Smirnov D S Phys. Rev. B 103 045413 (2021)
  90. Misra B, Sudarshan E C G J. Math. Phys. 18 756 (1977)
  91. Liu R-B et al New J. Phys. 12 013018 (2010)
  92. Bednorz A, Belzig W, Nitzan A New J. Phys. 14 013009 (2012)
  93. Arnold C et al Nat. Commun. 6 6236 (2015)
  94. Smirnov D S et al Phys. Rev. B 96 165308 (2017)
  95. Skalyo J (Jr.) et al Phys. Rev. B 2 4632 (1970)
  96. Dingle R, Lines M E, Holt S L Phys. Rev. 187 643 (1969)
  97. Birgeneau R J et al Phys. Rev. Lett. 26 718 (1971)
  98. Hutchings M T et al Phys. Rev. B 5 1999 (1972)
  99. Jordan P, Wigner E Z. Phys. 47 631 (1928)
  100. Niemeijer Th Physica 36 377 (1967)
  101. Katsura S, Horiguchi T, Suzuki M Physica 46 67 (1970)
  102. Sur A, Jasnow D, Lowe I J Phys. Rev. B 12 3845 (1975)
  103. Brandt U, Jacoby K Z. Phys. B 25 181 (1976)
  104. Capel H W, Perk J H H Physica A 87 211 (1977)
  105. Florencio J (Jr.), Lee M H Phys. Rev. B 35 1835 (1987)
  106. Luther A, Peschel I Phys. Rev. B 12 3908 (1975)
  107. Fogedby H C J. Phys. C 11 4767 (1978)
  108. Böhm M et al Phys. Rev. B 49 15669 (1994)
  109. Lifshits I M, Gredeskul S A, Pastur L A Vvedenie v Teoriyu Neuporyadochennykh Sistem (M.: Nauka, 1982); Per. na angl. yaz., Lifshits I M, Gredeskul S A, Pastur L A Introduction To The Theory Of Disordered Systems (New York: Wiley, 1988)
  110. Halperin B I Phys. Rev. 104 (1965)
  111. Berezinskii V L, Gor’kov L P Zh. Eksp. Teor. Fiz. 77 2498 (1979); Berezinskii V L, Gor’kov L P Sov. Phys. JETP 50 1209 (1979)
  112. Berezinskii V L, Gor’kov L P Zh. Eksp. Teor. Fiz. 78 812 (1980); Berezinskii V L, Gor’kov L P Sov. Phys. JETP 51 409 (1980)
  113. Berezinskii V L Zh. Eksp. Teor. Fiz. 65 1251 (1973); Berezinskii V L Sov. Phys. JETP 38 0 (1973)
  114. Gogolin A A Zh. Eksp. Teor. Fiz. 71 1912 (1976); Gogolin A A Sov. Phys. JETP 44 1003 (1976)
  115. Gogolin A A, Mel’nikov V I, Rashba E I Zh. Eksp. Teor. Fiz. 69 327 (1975); Gogolin A A, Mel’nikov V I, Rashba E I Sov. Phys. JETP 42 168 (1975)
  116. Žnidarič M, Prosen T, Prelovšek P Phys. Rev. B 77 064426 (2008)
  117. Pal A, Huse D A Phys. Rev. B 82 174411 (2010)
  118. Throckmorton R E, Das Sarma S Phys. Rev. B 103 165431 (2021)
  119. Shumilin A V, Sherman E Ya, Glazov M M Phys. Rev. B 94 125305 (2016)
  120. Dresselhaus G Phys. Rev. 100 580 (1955)
  121. Rashba E I, Sheka V I Fiz. Tverd. Tela 1 162 (1959)
  122. Bychkov Yu A, Rashba E I J. Phys. C 17 6039 (1984)
  123. D’yakonov M I, Kachorovskii V Yu Fiz. Tekh. Poluprovodn. 20 178 (1986); D’yakonov M I, Kachorovskii V Yu Sov. Phys. Semicond. 20 110 (1986)
  124. Averkiev N S, Golub L E Phys. Rev. B 60 15582 (1999)
  125. Ganichev D D, Golub L E Phys. Status Solidi B 251 1801 (2014)
  126. Glazov M M, Ivchenko E L Pis’ma ZhETF 75 476 (2002); Glazov M M, Ivchenko E L JETP Lett. 75 403 (2002)
  127. Leyland W J H et al Phys. Rev. B 75 165309 (2007)
  128. Gridnev V N Pis’ma ZhETF 74 417 (2001); Gridnev V N JETP Lett. 74 380 (2001)
  129. Brand A M et al Phys. Rev. Lett. 89 236601 (2002)
  130. Glazov M M Solid State Commun. 142 531 (2007)
  131. Griesbeck M et al Phys. Rev. B 80 241314 (2009)
  132. Gridnev V N Pis’ma ZhETF 76 583 (2002); Gridnev V N JETP Lett. 76 502 (2002)
  133. Schliemann J, Carlos Egues J, Loss D Phys. Rev. Lett. 90 146801 (2003)
  134. Bernevig B A, Orenstein J, Zhang S-C Phys. Rev. Lett. 97 236601 (2006)
  135. Koralek J D et al Nature 458 610 (2009)
  136. Poshakinskiy A V, Tarasenko S A Phys. Rev. B 92 045308 (2015)
  137. Passmann F et al Semicond. Sci. Technol. 34 093002 (2019)
  138. Glazov M M, Sherman E Ya, Dugaev V K Physica E 42 2157 (2010)
  139. Glazov M M, Sherman E Ya Phys. Rev. Lett. 107 156602 (2011)
  140. Li F et al Phys. Rev. Lett. 111 067201 (2013)
  141. Wilamowski Z et al Phys. Rev. Lett. 98 187203 (2007)
  142. Smirnov D S, Golub L E Phys. Rev. B 92 035437 (2015)
  143. Vorob’ev L E i dr Kineticheskie i Opticheskie Yavleniya v Sil’nykh Elektricheskikh Polyakh v Poluprovodnikakh i Nanostrukturakh (Pod obshch. red. V I Il’ina, A Ya Shika) (SPb.: Nauka, 2000)
  144. D’yakonov M I, Perel’ V I Fiz. Tverd. Tela 13 3581 (1971); D’yakonov M I, Perel’ V I Sov. Phys. Solid State 13 3023 (1972)
  145. Glazov M M et al Phys. Rev. B 88 041309 (2013)
  146. Glazov M M, Kavokin A V Phys. Rev. B 91 161307 (2015)
  147. Ryzhov I I et al Phys. Rev. B 93 241307 (2016)
  148. Ryzhov I I et al J. Appl. Phys. 117 224305 (2015)
  149. Kubo R J. Phys. Soc. Jpn. 17 1100 (1962)
  150. Mendel J M Proc. IEEE 79 278 (1991)
  151. Gardiner C W Stochastic Methods: A Handbook For The Natural And Social Sciences (Berlin: Springer, 2009)
  152. Clerk A A et al Rev. Mod. Phys. 82 1155 (2010)
  153. Kraus K States, Effects, And Operations: Fundamental Notions Of Quantum Theory: Lectures In Mathematical Physics At The University Of Texas At Austin (Lecture Notes in Physics) Vol. 190 (Eds A Böhm, J D Dollard, and W H Wootters) (Berlin: Springer-Verlag, 1983)
  154. Aharonov Y, Albert D Z, Vaidman L Phys. Rev. Lett. 60 1351 (1988)
  155. Bednorz A et al Phys. Rev. Lett. 110 250404 (2013)
  156. Starosielec S et al Rev. Sci. Instrum. 81 125101 (2010)
  157. Bechtold A et al Phys. Rev. Lett. 117 027402 (2016)
  158. Schad P et al Phys. Rev. B 90 205419 (2014)
  159. Schad P et al Ann. Physics 361 401 (2015)
  160. Li F et al New J. Phys. 15 113038 (2013)
  161. Fröhling N, Anders F B Phys. Rev. B 96 045441 (2017)
  162. Fröhling N, Jäschke N, Anders F B Phys. Rev. B 99 155305 (2019)
  163. Li F, Sinitsyn N A Phys. Rev. Lett. 116 026601 (2016)
  164. Bochkov G N, Kuzovlev Yu E Physica A 106 443 (1981)
  165. Sharipova M M et al J. Appl. Phys. 126 143901 (2019)
  166. Li F, Crooker S A, Sinitsyn N A Phys. Rev. A 93 033814 (2016)
  167. Fomin A A et al Phys. Rev. Res. 2 012008 (2020)
  168. Smirnov D S, Kavokin K V Phys. Rev. B 101 235416 (2020)
  169. Artemova E S, Merkulov I A Fiz. Tverd. Tela 27 1558 (1985); Artemova E S, Merkulov I A Sov. Phys. Solid State 27 941 (1985)
  170. Giri R et al Phys. Rev. Lett. 111 087603 (2013)
  171. Cronenberger S et al Nat. Commun. 6 8121 (2015)
  172. Smirnov D S, Shumilin A V Phys. Rev. B 103 195440 (2021)
  173. Ryzhov I I et al Appl. Phys. Lett. 106 242405 (2015)
  174. Ryzhov I I et al Sci. Rep. 6 21062 (2016)
  175. Wiegand J et al Phys. Rev. B 97 081403 (2018)
  176. Wiegand J et al Phys. Rev. B 98 125426 (2018)
  177. Tse W-K et al Phys. Rev. Lett. 113 046602 (2014)
  178. Goryca M et al Sci. Adv. 4899 (2019)
  179. Ivchenko E L, Pikus G E Pis’ma ZhETF 27 640 (1978); Ivchenko E L, Pikus G E JETP Lett. 27 604 (1978)
  180. Baranova N B, Bogdanov Yu V, Zel’dovich B Ya Opt. Commun. 22 243 (1977)
  181. Vorob’ev L E i dr Pis’ma ZhETF 29 485 (1979); Vorob’ev L E et al JETP Lett. 29 441 (1979)
  182. Smirnov D S, Glazov M M Phys. Rev. B 95 045406 (2017)
  183. Ivchenko E L, Spivak B Phys. Rev. B 66 155404 (2002)
  184. Kotova L V et al Phys. Rev. B 94 165309 (2016)
  185. Nestoklon M O et al Phys. Rev. B 85 205307 (2012)
  186. Zapasskii V S et al Phys. Rev. Lett. 110 176601 (2013)
  187. Petrov M Yu et al Phys. Rev. A 97 032502 (2018)
  188. Römer M, Hübner J, Oestreich M Appl. Phys. Lett. 94 112105 (2009)
  189. Dellis A T, Loulakis M, Kominis I K Phys. Rev. A 90 032705 (2014)
  190. Roy D et al Sci. Rep. 5 9573 (2015)
  191. Kozlov G G, Zapasskii V S, Shapochkin P Yu Appl. Opt. 57 B170 (2018)
  192. Pershin Yu V et al Appl. Phys. Lett. 102 202405 (2013)
  193. Cronenberger S et al Phys. Rev. Lett. 123 017401 (2019)
  194. Kozlov G G, Ryzhov I I, Zapasskii V S Phys. Rev. A 95 043810 (2017)
  195. Petrov M Yu et al Phys. Rev. B 97 125202 (2018)
  196. Cronenberger S et al Phys. Rev. B 103 205208 (2021)
  197. Lucivero V G et al Phys. Rev. A 93 053802 (2016)
  198. Li B-B et al Optica 5 850 (2018)
  199. Fischer A et al Phys. Rev. B 102 165309 (2020)
  200. Hägele D, Sifft M, Schefczik F Phys. Rev. B 102 119901 (2020)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions