1932

Abstract

Starting with the isolation of a single sheet of graphene, the study of layered materials has been one of the most active areas of condensed matter physics, chemistry, and materials science. Single-layer transition-metal dichalcogenides are direct-gap semiconducting analogs of graphene that exhibit novel electronic and optical properties. These features provide exciting opportunities for the discovery of both new fundamental physical phenomena as well as innovative device platforms. Here, we review the progress associated with the creation and use of a simple microscopic framework for describing the optical and excitonic behavior of few-layer transition-metal dichalcogenides, which is based on symmetry, band structure, and the effective interactions between charge carriers in these materials. This approach provides an often quantitative account of experiments that probe the physics associated with strong electron–hole interactions in these quasi two-dimensional systems and has been successfully employed by many groups to both describe and predict emergent excitonic behavior in these layered semiconducting systems.

Loading

Article metrics loading...

/content/journals/10.1146/annurev-conmatphys-033117-054009
2018-03-10
2024-04-23
Loading full text...

Full text loading...

/deliver/fulltext/conmatphys/9/1/annurev-conmatphys-033117-054009.html?itemId=/content/journals/10.1146/annurev-conmatphys-033117-054009&mimeType=html&fmt=ahah

Literature Cited

  1. Novoselov KS, Jiang D, Schedin F, Booth TJ, Khotkevich VV. 1.  et al. 2005. PNAS 102:10451–53
  2. Frindt RF. 2.  1966. J. Appl. Phys. 37:1928–29
  3. Novoselov KS, Geim AK, Morozov SV, Jiang D, Zhang Y. 3.  et al. 2004. Science 306:666–69
  4. Li H, Wu J, Huang X, Lu G, Yang J. 4.  et al. 2013. ACS Nano 7:10344–53
  5. Elas AL, Perea-López N, Castro-Beltrán A, Berkdemir A, Lv R. 5.  et al. 2013. ACS Nano 7:5235–42
  6. van der Zande AM, Huang PY, Chenet DA, Berkelbach TC, You Y. 6.  et al. 2013. Nat. Mater. 12:554
  7. Chhowalla M, Shin HS, Eda G, Li LJ, Loh KP, Zhang H. 7.  2013. Nat. Chem. 5:263
  8. Lv R, Robinson JA, Schaak RE, Sun D, Sun Y. 8.  et al. 2015. Acc. Chem. Res. 48:56–64
  9. Shanmugam M, Bansal T, Durcan CA, Yu B. 9.  2012. Appl. Phys. Lett. 100:153901
  10. Lee CH, Lee GH, van der Zande AM, Chen W, Li Y. 10.  et al. 2014. Nat. Nanotech. 9:676
  11. Splendiani A, Sun L, Zhang Y, Li T, Kim J. 11.  et al. 2010. Nano Lett 10:1271
  12. Mak KF, Lee C, Hone J, Shan J, Heinz TF. 12.  2010. Phys. Rev. Lett. 105:136805
  13. Eda G, Yamaguchi H, Voiry D, Fujita T, Chen M, Chhowalla M. 13.  2011. Nano Lett 11:5111–16
  14. Chernikov A, Ruppert C, Hill HM, Rigosi AF, Heinz TF. 14.  2015. Nat. Photon. 9:466
  15. Radisavljevic B, Radenovic A, Brivio J, Giacometti V, Kis A. 15.  2011. Nat. Nanotech. 6:147
  16. Ando T, Fowler AB, Stern F. 16.  1982. Rev. Mod. Phys. 54:437–672
  17. Schmitt-Rink S, Chemla D, Miller D. 17.  1989. Adv. Phys. 38:89–188
  18. Evans BL, Young PA. 18.  1967. Proc. R. Soc. A 298:74–96
  19. Wilson J, Yoffe A. 19.  1969. Adv. Phys. 18:193–335
  20. Vogt P, De Padova P, Quaresima C, Avila J, Frantzeskakis E. 20.  et al. 2012. Phys. Rev. Lett. 108:155501
  21. Dávila ME, Xian L, Cahangirov S, Rubio A, Le Lay G. 21.  2014. New J. Phys. 16:095002
  22. Xia F, Wang H, Jia Y. 22.  2014. Nat. Commun. 5:4458
  23. Mannix AJ, Zhou XF, Kiraly B, Wood JD, Alducin D. 23.  et al. 2015. Science 350:1513–16
  24. Geim A, Grigorieva I. 24.  2013. Nature 499:419
  25. Novoselov KS, Mishchenko A, Carvalho A, Castro Neto AH. 25.  2016. Science 353:6298acc9439
  26. Jariwala D, Marks TJ, Hersam MC. 26.  2017. Nat. Mater. 16:170
  27. Mattheiss LF. 27.  1973. Phys. Rev. B 8:3719–40
  28. Li T, Galli G. 28.  2007. J. Phys. Chem. C 111:16192–96
  29. Zhu ZY, Cheng YC, Schwingenschlögl U. 29.  2011. Phys. Rev. B 84:153402
  30. Lebègue S, Eriksson O. 30.  2009. Phys. Rev. B 79:115409
  31. Cheiwchanchamnangij T, Lambrecht WRL. 31.  2012. Phys. Rev. B 85:205302
  32. Ramasubramaniam A. 32.  2012. Phys. Rev. B 86:115409
  33. Shi H, Pan H, Zhang YW, Yakobson BI. 33.  2013. Phys. Rev. B 87:155304
  34. Qiu DY, da Jornada FH, Louie SG. 34.  2013. Phys. Rev. Lett. 111:216805
  35. Hüser F, Olsen T, Thygesen KS. 35.  2013. Phys. Rev. B 88:245309
  36. Jin W, Yeh PC, Zaki N, Zhang D, Sadowski JT. 36.  et al. 2013. Phys. Rev. Lett. 111:106801
  37. Zhang Y, Chang TR, Zhou B, Cui YT, Yan H. 37.  et al. 2014. Nat. Nanotech. 9:111
  38. Xiao D, Liu GB, Feng W, Xu X, Yao W. 38.  2012. Phys. Rev. Lett. 108:196802
  39. Liu GB, Shan WY, Yao Y, Yao W, Xiao D. 39.  2013. Phys. Rev. B 88:085433
  40. Castro Neto AH, Guinea F, Peres NMR, Novoselov KS, Geim AK. 40.  2009. Rev. Mod. Phys. 81:109–62
  41. Berkelbach TC, Hybertsen MS, Reichman DR. 41.  2015. Phys. Rev. B 92:085413
  42. Zeng H, Dai J, Yao W, Xiao D, Cui X. 42.  2012. Nat. Nanotech. 7:490
  43. Mak KF, He K, Shan J, Heinz TF. 43.  2012. Nat. Nanotech. 7:494
  44. Kośmider K, González JW, Fernández-Rossier J. 44.  2013. Phys. Rev. B 88:245436
  45. Kormányos A, Zólyomi V, Drummond ND, Burkard G. 45.  2014. Phys. Rev. X 4:011034
  46. Zhang XX, You Y, Zhao SYF, Heinz TF. 46.  2015. Phys. Rev. Lett. 115:257403
  47. Hedin L. 47.  1965. Phys. Rev. 139:A796–823
  48. Hybertsen MS, Louie SG. 48.  1986. Phys. Rev. B 34:5390
  49. Qiu DY, da Jornada FH, Louie SG. 49.  2015. Phys. Rev. Lett. 115:119901
  50. Rasmussen FA, Schmidt PS, Winther KT, Thygesen KS. 50.  2016. Phys. Rev. B 94:155406
  51. Rasmussen FA, Thygesen KS. 51.  2015. J. Phys. Chem. C 119:13169–83
  52. Latini S, Olsen T, Thygesen KS. 52.  2015. Phys. Rev. B 92:245123
  53. Rytova NS. 53.  1967. Vestn. Mosk. Univ. Fiz. Astron. 3:30
  54. Keldysh LV. 54.  1979. J. Exp. Theoret. Phys. Lett. 29:658
  55. Hong X, Ishihara T, Nurmikko AV. 55.  1992. Phys. Rev. B 45:6961–64
  56. Berkelbach TC, Hybertsen MS, Reichman DR. 56.  2013. Phys. Rev. B 88:045318
  57. Cudazzo P, Tokatly IV, Rubio A. 57.  2011. Phys. Rev. B 84:085406
  58. Chernikov A, van der Zande AM, Hill HM, Rigosi AF, Velauthapillai A. 58.  et al. 2015. Phys. Rev. Lett. 115:126802
  59. Stern F. 59.  1967. Phys. Rev. Lett. 18:546–48
  60. Steinhoff A, Kim JH, Jahnke F, Rösner M, Kim DS. 60.  et al. 2015. Nano Lett 15:6841–47
  61. Wang Y, Ou JZ, Chrimes AF, Carey BJ, Daeneke T. 61.  et al. 2015. Nano Lett 15:883–90
  62. Wu F, Qu F, MacDonald AH. 62.  2015. Phys. Rev. B 91:075310
  63. Dresselhaus G. 63.  1956. J. Phys. Chem. Solids 1:14–22
  64. Srivastava A, Imamoğlu A. 64.  2015. Phys. Rev. Lett. 115:166802
  65. Zhou J, Shan WY, Yao W, Xiao D. 65.  2015. Phys. Rev. Lett. 115:166803
  66. Hao K, Moody G, Wu F, Dass CK, Xu L. 66.  et al. 2016. Nat. Phys. 12:677–82
  67. Rohlfing M, Louie SG. 67.  2000. Phys. Rev. B 62:4927
  68. Berghäuser G, Malic E. 68.  2014. Phys. Rev. B 89:125309
  69. Zhang C, Wang H, Chan W, Manolatou C, Rana F. 69.  2014. Phys. Rev. B 89:205436
  70. Elliott RJ. 70.  1957. Phys. Rev. 108:1384
  71. Haug H, Koch SW. 71.  2009. Quantum Theory of the Optical and Electronic Properties of Semiconductors World Sci, Singap., , 5th ed..
  72. Tanaka K, Takahashi T, Kondo T, Umebayashi T, Asai K, Ema K. 72.  2005. Phys. Rev. B 71:045312
  73. Chernikov A, Berkelbach TC, Hill HM, Rigosi A, Li Y. 73.  et al. 2014. Phys. Rev. Lett. 113:076802
  74. He K, Kumar N, Zhao L, Wang Z, Mak KF. 74.  et al. 2014. Phys. Rev. Lett. 113:026803
  75. Ugeda MM, Bradley AJ, Shi SF, da Jornada FH, Zhang Y. 75.  et al. 2014. Nat. Mater. 13:1091
  76. Andersen K, Latini S, Thygesen KS. 76.  2015. Nano Lett 15:4616–21
  77. Kleinman DA. 77.  1983. Phys. Rev. B 28:871–79
  78. Esser A, Zimmermann R, Runge E. 78.  2001. Phys. Status Solidi(b) 227:317–30
  79. Combescot M, Shiau SY. 79.  2015. Excitons and Cooper Pairs: Two Composite Bosons in Many-Body Physics Oxford Univ. Press, , 1st ed..
  80. Mak KF, He K, Lee C, Lee GH, Hone J. 80.  et al. 2013. Nat. Mater. 12:207
  81. Ross JS, Wu S, Yu H, Ghimire NJ, Jones AM. 81.  et al. 2013. Nat. Comm. 4:1474
  82. You Y, Zhang XX, Berkelbach TC, Hybertsen MS, Reichman DR, Heinz TF. 82.  2015. Nat. Phys. 11:477
  83. Mayers MZ, Berkelbach TC, Hybertsen MS, Reichman DR. 83.  2015. Phys. Rev. B 92:161404
  84. Ramirez-Torres A, Turkowski V, Rahman TS. 84.  2014. Phys. Rev. B 90:085419
  85. Deilmann T, Drüppel M, Rohlfing M. 85.  2016. Phys. Rev. Lett. 116:196804
  86. Ganchev B, Drummond N, Aleiner I, Fal'ko V. 86.  2015. Phys. Rev. Lett. 114:107401
  87. Velizhanin KA, Saxena A. 87.  2015. Phys. Rev. B 92:195305
  88. Kylänpää I, Komsa HP. 88.  2015. Phys. Rev. B 92:205418
  89. Zhang DK, Kidd DW, Varga K. 89.  2015. Nano Lett 15:7002–5
  90. Kidd DW, Zhang DK, Varga K. 90.  2016. Phys. Rev. B 93:125423
  91. Hao K, Specht JF, Nagler P, Xu L, Tran K. 91.  et al. 2017. Nat. Commun. 8:15552
  92. Ye Z, Cao T, O'Brien K, Zhu H, Yin X. 92.  et al. 2014. Nature 513:214
  93. Wang G, Marie X, Gerber I, Amand T, Lagarde D. 93.  et al. 2015. Phys. Rev. Lett. 114:097403
  94. Shi H, Yan R, Bertolazzi S, Brivio J, Gao B. 94.  et al. 2013. ACS Nano 7:1072–80
  95. Mai C, Semenov YG, Barrette A, Yu Y, Jin Z. 95.  et al. 2014. Phys. Rev. B 90:041414
  96. Singh A, Moody G, Wu S, Wu Y, Ghimire NJ. 96.  et al. 2014. Phys. Rev. Lett. 112:216804
  97. Sie EJ, Frenzel AJ, Lee YH, Kong J, Gedik N. 97.  2015. Phys. Rev. B 92:125417
  98. Moody G, Kavir Dass C, Hao K, Chen CH, Li LJ. 98.  et al. 2015. Nat. Commun. 6:8315
  99. Pankove JI. 99.  2010. Optical Processes in Semiconductors Dover Publ, 2nd ed..
  100. Ajayi O, Ardelean J, Shepard G, Wang J, Antony A. 100.  et al. 2017. 2D Materials 4:3031011
  101. Cadiz F, Courtade E, Robert C, Wang G, Shen Y. 101.  et al. 2017. Phys. Rev. X 7:021026
  102. Ruppert C, Chernikov A, Hill HM, Rigosi AF, Heinz TF. 102.  2017. Nano Lett 17:644–51
  103. Ohtaka K, Tanabe Y. 103.  1990. Rev. Mod. Phys. 62:929–91
  104. Sidler M, Back P, Cotlet O, Srivastava A, Fink T. 104.  et al. 2017. Nat. Phys. 13:255–61
  105. Efimkin DK, MacDonald AH. 105.  2017. Phys. Rev. B 95:035417
  106. Gao S, Liang Y, Spataru CD, Yang L. 106.  2016. Nano Lett 16:5568–73
  107. Hawrylak P. 107.  1991. Phys. Rev. B 44:3821
  108. Huard V, Cox RT, Saminadayar K, Arnoult A, Tatarenko S. 108.  2000. Phys. Rev. Lett. 84:187
  109. Shiau SY, Combescot M, Chang YC. 109.  2017. Europhys. Lett. 117:557001
  110. Arora A, Koperski M, Nogajewski K, Marcus J, Faugeras C, Potemski M. 110.  2015. Nanoscale 7:10421–29
  111. Arora A, Nogajewski K, Molas M, Koperski M, Potemski M. 111.  2015. Nanoscale 7:20769–75
  112. Dey P, Paul J, Wang Z, Stevens CE, Liu C. 112.  et al. 2016. Phys. Rev. Lett. 116:127402
  113. Koirala S, Mouri S, Miyauchi Y, Matsuda K. 113.  2016. Phys. Rev. B 93:075411
  114. Selig M, Berghäuser G, Raja A, Nagler P, Schüller C. 114.  et al. 2016. Nat. Commun. 7:13279
  115. Jariwala D, Sangwan VK, Lauhon LJ, Marks TJ, Hersam MC. 115.  2014. ACS Nano 8:1102–20. PMID: 24476095
  116. Rivera P, Schaibley JR, Jones AM, Ross JS, Wu S. 116.  et al. 2015. Nat. Commun. 6:6242
  117. Mak KF, Shan J. 117.  2016. Nat. Photon. 10:216–26 Review
  118. Fogler MM, Butov LV, Novoselov KS. 118.  2014. Nat. Commun. 5:4555
  119. Wu FC, Xue F, MacDonald AH. 119.  2015. Phys. Rev. B 92:165121
  120. High AA, Leonard JR, Hammack AT, Fogler MM, Butov LV. 120.  et al. 2012. Nature 483:584–88
  121. Fang H, Battaglia C, Carraro C, Nemsak S, Ozdol B. 121.  et al. 2014. PNAS 111:6198–202
  122. Ceballos F, Bellus MZ, Chiu HY, Zhao H. 122.  2014. ACS Nano 8:12717–24
  123. Rivera P, Seyler KL, Yu H, Schaibley JR, Yan J. 123.  et al. 2016. Science 351:688–91
  124. Komsa HP, Krasheninnikov AV. 124.  2013. Phys. Rev. B 88:085318
  125. Latini S, Winther KT, Olsen T, Thygesen KS. 125.  2017. Nano Lett 17:938–45
  126. Kunstmann J, Mooshammer F, Nagler P, Chaves A, Stein F. 126.  et al. 2017. Nat. Phys. Accepted
  127. Miller B, Steinhoff A, Pano B, Jahnke F, Holleitner A, Wurstbauer U. 127.  2017. arXiv1703.09566
  128. Zhu H, Wang J, Gong Z, Kim YD, Gustafsson M. 128.  et al. 2017. Nano Lett 17:63591–98
  129. Nayak PK, Horbatenko Y, Ahn S, Kim G, Lee JU. 129.  et al. 2017. ACS Nano 11:44041–50
  130. Wilson NR, Nguyen PV, Seyler K, Rivera P, Marsden AJ. 130.  et al. 2017. Sci. Adv. 3:e1601832
  131. Wang Q, Kalantar-Zadeh K, Kis A, Coleman J, Strano M. 131.  2012. Nat. Nanotech. 7:699
/content/journals/10.1146/annurev-conmatphys-033117-054009
Loading
/content/journals/10.1146/annurev-conmatphys-033117-054009
Loading

Data & Media loading...

  • Article Type: Review Article
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error