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Excitons and trions in two-dimensional semiconductors based on transition metal dichalcogenides

,
Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation

Theoretical and experimental results on excitonic effects in monomolecular layers of transition metal dichalcogenides are reviewed. These two-dimensional semiconductors exhibit a direct band gap of about 2 eV at the Brillouin zone edges, and the binding energies of their neutral and charged excitons are in the range of hundreds and tens of millielectronvolts, respectively. This implies that the electron-hole complexes determine the optical properties of transition metal dichalcogenide monolayers. Topics discussed in this review include the band structure details needed to understand the excitonic effects in these materials, the structure and fine structure of excitons and trions, the features of the spin and valley dynamics of Coulomb complexes, and the ways how neutral and charged excitons manifest themselves in linear and nonlinear optical effects.

Fulltext is available at IOP
Keywords: transition metal dichalcogenides monolayers, Coulomb interaction, exchange interaction, exciton, trion, spin dynamics, valley dynamics, optical orientation, two-photon absorption, second harmonic generation, Zeeman effect
PACS: 71.35.−y, 73.20.Mf, 78.67.−n (all)
DOI: 10.3367/UFNe.2017.07.038172
URL: https://ufn.ru/en/articles/2018/9/a/
Citation: Durnev M V, Glazov M M "Excitons and trions in two-dimensional semiconductors based on transition metal dichalcogenides" Phys. Usp. 61 825–845 (2018)
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Received: 4th, July 2017, revised: 14th, July 2017, 14th, July 2017

Оригинал: Дурнев М В, Глазов М М «Экситоны и трионы в двумерных полупроводниках на основе дихалькогенидов переходных металлов» УФН 188 913–934 (2018); DOI: 10.3367/UFNr.2017.07.038172

References (159) ↓ Cited by (14) Similar articles (20)

  1. Novoselov K S et al. Science 306 666 (2004)
  2. Novoselov K S et al. Nature 438 197 (2005)
  3. Geim A K, Novoselov K S Nature Mater. 6 183 (2007)
  4. Lozovik Yu E, Merkulova S P, Sokolik A A Usp. Fiz. Nauk 178 757 (2008); Lozovik Yu E, Merkulova S P, Sokolik A A Phys. Usp. 51 727 (2008)
  5. Morozov S V, Novoselov K S, Geim A K Usp. Fiz. Nauk 178 776 (2008); Morozov S V, Novoselov K S, Geim A K Phys. Usp. 51 744 (2008)
  6. Fal’kovskii L A Usp. Fiz. Nauk 178 923 (2008); Falkovsky L A Phys. Usp. 51 887 (2008)
  7. Novoselov K S et al. Proc. Natl. Acad. Sci. USA 102 10451 (2005)
  8. Li L et al. Nature Nanotechnol. 9 372 (2014)
  9. Geim A K, Grigorieva I V Nature 499 419 (2013)
  10. Frindt R F J. Appl. Phys. 37 1928 (1966)
  11. Wilson J A, Yoffe A D Adv. Phys. 18 193 (1969)
  12. Yoffe A D Festkörperprobleme 13 (Advances in Solid State Physics) Vol. 13 (Ed. H J Queisser) (Berlin: Springer, 1973) p. 1
  13. Mak K F et al. Phys. Rev. Lett. 105 136805 (2010)
  14. Splendiani A et al. Nano Lett. 10 1271 (2010)
  15. Kolobov A, Tominaga J Two-Dimensional Transition-Metal Dichalcogenides (Berlin: Springer, 2016)
  16. Chernozatonskii L A, Artyukh A A Usp. Fiz. Nauk 188 3 (2018); Chernozatonskii L A, Artyukh A A Phys. Usp. 61 2 (2018)
  17. Courtade E et al. Phys. Rev. B 96 085302 (2017)
  18. Kormányos A et al. Phys. Rev. B 88 045416 (2013)
  19. Kośmider K, González J W, Fernández-Rossier J Phys. Rev. B 88 245436 (2013)
  20. Liu G-B et al. Phys. Rev. B 88 085433 (2013)
  21. Mak K F et al. Science 344 1489 (2014)
  22. Mak K F et al. Nature Nanotechnol. 7 494 (2012)
  23. Cao T et al. Nature Commun. 3 887 (2012)
  24. Sallen G et al. Phys. Rev. B
  25. Zeng H et al. Nature Nanotechnol. 7 490 (2012)
  26. Xiao D et al. Phys. Rev. Lett. 108 196802 (2012)
  27. Chernikov A et al. Phys. Rev. Lett. 113 076802 (2014)
  28. He K et al. Phys. Rev. Lett. 113 026803 (2014)
  29. Ugeda M M et al. Nature Mater. 13 1091 (2014)
  30. Berkelbach T C, Hybertsen M S, Reichman D R Phys. Rev. B 88 045318 (2013)
  31. Mak K F et al. Nature Mater. 12 207 (2013)
  32. Courtade E et al. arXiv:1705.02110
  33. Shi H et al. Phys. Rev. B 87 155304 (2013)
  34. Koster G F et al. Properties Of The Thirty-Two Point Groups (Cambridge, Mass.: M.I.T. Press, 1963)
  35. Wang G et al. Nature Commun. 6 10110 (2015)
  36. Komsa H-P, Krasheninnikov A V Phys. Rev. B 86 241201(R) (2012)
  37. Qiu D Y, da Jornada F H, Louie S G Phys. Rev. Lett. 111 216805 (2013)
  38. Molina-Sánchez A et al. Phys. Rev. B 88 045412 (2013)
  39. Fang S et al. Phys. Rev. B 92 205108 (2015)
  40. Wang G et al. Phys. Rev. Lett. 114 097403 (2015)
  41. Molina-Sánchez A, Hummer K, Wirtz L Surf. Sci. Rep. 70 554 (2015)
  42. Cappelluti E et al. Phys. Rev. B 88 075409 (2013)
  43. Ridolfi E et al. J. Phys. Condens. Matter 27 365501 (2015)
  44. Rostami H et al. Phys. Rev. B 92 195402 (2015)
  45. Rybkovskiy D V, Gerber I C, Durnev M V Phys. Rev. B 95 155406 (2017)
  46. Vurgaftman I, Meyer J R, Ram-Mohan L R J. Appl. Phys. 89 5815 (2001)
  47. Wang G et al. 2D Mater. 2 034002 (2015)
  48. Frenkel J Phys. Rev. 37 17 (1931)
  49. Frenkel J Phys. Rev. 37 1276 (1931)
  50. Wannier G H Phys. Rev. 52 191 (1937)
  51. Mott N F Proc. R. Soc. Lond. A 167 384 (1938)
  52. Gross E F, Karryev N A Dokl. Akad. Nauk SSSR 84 261 (1952)
  53. Rytova N S Vestn. MGU. Ser. Fiz. (3) 30 (1967); Rytova N S Moscow Univ. Phys. Bull. 22 (3) 18 (1967)
  54. Keldysh L V Pis’ma ZhETF 29 716 (1979); Keldysh L V JETP Lett. 29 658 (1979)
  55. LandauL D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1992); Per. na angl. yaz., Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Butterworth-Heinemann, 2004)
  56. Agranovich V M, Ginzburg V L Kristallooptika s Uchetom Prostranstvennoi Dispersii i Teoriya Eksitonov (M.: Nauka, 1965); Per. na angl. yaz., Agranovich V M, Ginzburg V G Crystal Optics With Spatial Dispersion, And Excitons (Berlin: Springer-Verlag, 1984)
  57. Cudazzo P, Tokatly I V, Rubio A Phys. Rev. B 84 085406 (2011)
  58. Rashba E I, Sturge M D (Eds) Excitons (Modern Problems In Condensed Matter Sciences, Vol. 2) (Amsterdam: North-Holland, 1982)
  59. Glutsch S G Excitons In Low-Dimensional Semiconductors (Berlin: Springer-Verlag, 2004)
  60. Ivchenko E L, Pikus G E Superlattices And Other Heterostructures (Berlin: Springer, 1997)
  61. Ivchenko E L Optical Spectroscopy Of Semiconductor Nanostructures (Harrow, UK: Alpha Science, 2005)
  62. Bir G L, Pikus G E Symmetry And Strain-Induced Effects In Semiconductors (New York: Wiley, 1974)
  63. Glazov M M et al. Phys. Status Solidi B 252 2349 (2015)
  64. Bir G, Pikus G Simmetriya i Deformatsionnye Effekty v Poluprovodnikakh (M.: Nauka, 1972)
  65. Ye Z et al. Nature 513 214 (2014)
  66. Stier A V et al. Nano Lett. 16 7054 (2016)
  67. Lin Y et al. Nano Lett. 14 5569 (2014)
  68. Wu F, Qu F, MacDonald A H Phys. Rev. B 91 075310 (2015)
  69. Glazov M M et al. Phys. Rev. B 95 035311 (2017)
  70. Wang G et al. Phys. Rev. Lett. 119 047401 (2017)
  71. Denisov M M, Makarov V P Phys. Status Solidi B 56 9 (1973)
  72. Echeverry J P et al. Phys. Rev. B 93 121107(R) (2016)
  73. Qiu D Y, Cao T, Louie S G Phys. Rev. Lett. 115 176801 (2015)
  74. Dery H, Song Y Phys. Rev. B 92 125431 (2015)
  75. Zhang X-X et al. Phys. Rev. Lett. 115 257403 (2015)
  76. Arora A et al. Nanoscale 7 10421 (2015)
  77. Withers F et al. Nano Lett. 15 8223 (2015)
  78. Slobodeniuk A O, Basko D M 2D Mater. 3 035009 (2016)
  79. Glazov M M et al. Phys. Rev. B 89 201302(R) (2014)
  80. Yu H et al. Nature Commun. 5 3876 (2014)
  81. Yu T, Wu M W Phys. Rev. B 89 205303 (2014)
  82. Maialle M, de Andrada e Silva E, Sham L J Phys. Rev. B 47 15776 (1993)
  83. Ivchenko E L Phys. Status Solidi A 164 487 (1997)
  84. Gupalov S V, Ivchenko E L, Kavokin A V Zh. Eksp. Teor. Fiz. 113 703 (1998); Goupalov S V, Ivchenko E L, Kavokin A V JETP 86 388 (1998)
  85. Dyakonov M I (Ed.) Spin Physics In Semiconductors (Berlin: Springer-Verlag, 2008)
  86. Berkelbach T C, Hybertsen M S, Reichman D R Phys. Rev. B 92 085413 (2015)
  87. Srivastava A, Imamoǧlu A Phys. Rev. Lett. 115 166802 (2015)
  88. Zhou J et al. Phys. Rev. Lett. 115 166803 (2015)
  89. Berghäuser G, Knorr A, Malic E 2D Mater. 4 015029 (2017)
  90. Lampert M A Phys. Rev. Lett. 1 450 (1958)
  91. Stébé B, Ainane A Superlatt. Microstruct. 5 545 (1989)
  92. Kheng K et al. Phys. Rev. Lett. 71 1752 (1993)
  93. Finkelstein G, Shtrikman H, Bar-Joseph I Phys. Rev. B 53 R1709 (1996)
  94. Thilagam A Phys. Rev. B 55 7804 (1997)
  95. Sergeev R A, Suris R A Fiz. Tverd. Tela 43 714 (2001); Sergeev R A, Suris R A Phys. Solid State 43 746 (2001)
  96. Ross J S et al. Nature Commun. 4 1474 (2013)
  97. Landau L D, Lifshits E M Kvantovaya Mekhanika. Nerelyativistskaya Teoriya (M.: Nauka, 1989); Per. na angl. yaz., Landau L D, Lifshitz E M Quantum Mechanics: Non-Relativistic Theory (Oxford: Pergamon Press, 1977)
  98. Ganchev B et al. Phys. Rev. Lett. 114 107401 (2015)
  99. Szyniszewski M et al. Phys. Rev. B 95 081301(R) (2017)
  100. Sergeev R A, Suris R A Phys. Status Solidi B 227 387 (2001)
  101. Jones A M et al. Nature Phys. 12 323 (2016)
  102. Plechinger G et al. Nature Commun. 7 12715 (2016)
  103. Danovich M, Zólyomi V, Fal’ko V I Sci. Rep. 7 45998 (2017)
  104. Suris R A et al. Phys. Status Solidi B 227 343 (2001)
  105. Suris R A Optical Properties Of 2D Systems With Interacting Electrons (NATO Science Series, Ser. II, Vol. 119, Eds W J Ossau, R A Suris) (Dordrecht: Kluwer Acad. Publ., 2003) p. 111
  106. Efimkin D K, MacDonald A H Phys. Rev. B 95 035417 (2017)
  107. Sidler M et al. Nature Phys. 13 255 (2017)
  108. Li Y et al. Phys. Rev. Lett. 113 266804 (2014)
  109. Srivastava A et al. Nature Phys. 11 141 (2015)
  110. Aivazian G et al. Nature Phys. 11 148 (2015)
  111. Stier A V et al. Nature Commun. 7 10643 (2016)
  112. Cadiz F et al. Phys. Rev. X 7 021026 (2017)
  113. Jones A M et al. Nature Nanotechnol. 8 634 (2013)
  114. Lagarde D et al. Phys. Rev. Lett. 112 047401 (2014)
  115. Zhu C R et al. Phys. Rev. B 90 161302(R) (2014)
  116. Wang G et al. Phys. Rev. Lett. 117 187401 (2016)
  117. Tokman M, Wang Y, Belyanin A Phys. Rev. B 92 075409 (2015)
  118. Meier F, Zakharchenya B (Eds) Optical Orientation (Amsterdam: Horth-Holland, 1984); Per. na russk. yaz., Zakharchenya B P, Maier F (Red.) Opticheskaya Orientatsiya (L.: Nauka, 1989)
  119. Maialle M Z Phys. Rev. B 61 10877 (2000)
  120. Lhuillier C, Laloë F J. Phys. France 43 197 (1982)
  121. Lhuillier C, Laloë F J. Phys. France 43 225 (1982)
  122. Glazov M M et al. Solid State Commun. 134 117 (2005)
  123. Krizhanovskii D N et al. Phys. Rev. B 73 073303 (2006)
  124. Glazov M M Fiz. Tverd. Tela 54 3 (2012); Glazov M M Phys. Solid State 54 1 (2012)
  125. D’yakonov M I, Perel’ V I Fiz. Tverd. Tela 13 3581 (1971); Dyakonov M I, Perel’ V I Sov. Phys. Solid State 13 3023 (1972)
  126. Poellmann C et al. Nature Mater. 14 889 (2015)
  127. Robert C et al. Phys. Rev. B 93 205423 (2016)
  128. Sun D et al. Nano Lett. 14 5625 (2014)
  129. Mouri S et al. Phys. Rev. B 90 155449 (2014)
  130. Yu Y et al. Phys. Rev. B 93 201111(R) (2016)
  131. Hoshi Y et al. Phys. Rev. B 95 241403(R) (2017)
  132. Moody G et al. Nature Commun. 6 8315 (2015)
  133. Selig M et al. Nature Commun. 7 13279 (2016)
  134. Plechinger G et al. arXiv:arXiv:1404.7674
  135. McCormick E J et al. 2D Mater. 5 011010 (2016)
  136. Dey P et al. Phys. Rev. Lett. 119 137401 (2017)
  137. Singh A et al. Phys. Rev. Lett. 117 257402 (2016)
  138. Belinicher V I, Sturman B I Usp. Fiz. Nauk 130 415 (1980); Belinicher V I, Sturman B I Sov. Phys. Usp. 23 199 (1980)
  139. Bloembergen N Nonlinear Optics 4th Ed. (Singapore: World Scientific, 1996)
  140. Ganichev S D, Prettl W Intense Terahertz Excitation Of Semiconductors (Oxford: Oxford Univ. Press, 2006)
  141. Glazov M M, Ganichev S D Phys. Rep. 535 101 (2014)
  142. Rashba E I, Sterdzh M D (Red.) Eksitony (M.: Nauka, 1985)
  143. Mahan G D Phys. Rev. 170 825 (1968)
  144. Wang G et al. Phys. Rev. Lett. 115 117401 (2015)
  145. Manca M et al. Nature Commun. 8 14927 (2017)
  146. Ivchenko E L, Perlin E Yu Fiz. Tverd. Tela 15 2781 (1973); Ivchenko E L, Perlin E Yu Sov. Phys. Solid State 15 1850 (1974)
  147. Arifzhanov S B, Ivchenko E L Fiz. Tverd. Tela 17 81 (1975); Arifzhanov S B, Ivchenko E L Sov. Phys. Solid State 17 46 (1975)
  148. Danishevskii A M, Kochegarov S F, Subashiev V K Zh. Eksp. Teor. Fiz. 70 158 (1976); Danishevskii A M, Kochegarov S F, Subashiev V K JETP 43 83 (1976)
  149. Pedersen T G, Cornean H D Europhys. Lett. 78 27005 (2007)
  150. Trolle M L, Seifert G, Pedersen T G Phys. Rev. B 89 235410 (2014)
  151. Grüning M, Attaccalite C Phys. Rev. B 89 081102(R) (2011)
  152. Golub L E et al. Phys. Rev. B 84 195408 (2011)
  153. Golub L E, Tarasenko S A Phys. Rev. B 90 201402(R) (2014)
  154. Trolle M L et al. Phys. Rev. B 92 161409(R) (2015)
  155. Seyler K L et al. Nature Nanotechnol. 10 407 (2015)
  156. Rivera P et al. Science 351 688 (2016)
  157. Liu X et al. Nature Photon. 9 30 (2015)
  158. Dufferwiel S et al. Nature Commun. 6 8579 (2015)
  159. Lundt N et al. Nature Commun. 7 13328 (2016)

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