1932
0
  1. Home
  2. A-Z Publications
  3. Annual Review of Condensed Matter Physics
  4. Volume 10, 2019
  5. Article

Annual Review of Condensed Matter Physics

Volume 10, 2019

Floquet Engineering of Quantum Materials

Abstract

Floquet engineering, the control of quantum systems using periodic driving, is an old concept in condensed matter physics dating back to ideas such as the inverse Faraday effect. However, there is a renewed interest in this concept owing to () the rapid developments in laser and ultrafast spectroscopy techniques, () discovery and understanding of various “quantum materials” hosting interesting exotic quantum properties, and () communication with different areas of physics such as artificial matter and nonequilibrium quantum statistical physics. Here, starting from a nontechnical introduction with emphasis on the Floquet picture and effective Hamiltonians, we review the recent applications of Floquet engineering in ultrafast, nonlinear phenomena in the solid state. In particular, Floquet topological states and their application to ultrafast spintronics and strongly correlated electron systems are overviewed.

Keyword(s): Floquet topological systems, Mott insulator, nonequilibrium quantum systems, ultrafast spintronics
Loading

Article metrics loading...

/content/journals/10.1146/annurev-conmatphys-031218-013423
2019-03-10
2024-04-16
Loading full text...

Full text loading...

/deliver/fulltext/conmatphys/10/1/annurev-conmatphys-031218-013423.html?itemId=/content/journals/10.1146/annurev-conmatphys-031218-013423&mimeType=html&fmt=ahah

Literature Cited

  1. 1.  Nasu K 2004. Photoinduced Phase Transitions Singapore: World Sci.
  2. 2.  Iwai S, Okamoto H 2006. J. Phys. Soc. Jpn. 75:011007
  3. 3.  Koshihara S, Kuwata-Gonokami M 2006. J. Phys. Soc. Jpn. 75:011001
  4. 4.  Yonemitsu K, Nasu K 2008. Phys. Rep. 465:1–60
  5. 5.  Oka T, Aoki H 2008. Quantum and Semi-classical Percolation and Breakdown in Disordered Solids AK Sen, KK Bardhan, BK Chakrabarti Lecture Notes in Physics, Vol. 7621–35 Berlin, Heidelberg: Springer
  6. 6.  Kirilyuk A, Kimel AV, Rasing T 2010. Rev. Mod. Phys. 82:2731–84
  7. 7.  Basov DN, Averitt RD, van der Marel D, Dressel M, Haule K 2011. Rev. Mod. Phys. 83:471–541
  8. 8.  Orenstein J 2012. Phys. Today 65:44–50
  9. 9.  Aoki H, Tsuji N, Eckstein M, Kollar M, Oka T, Werner P 2014. Rev. Mod. Phys. 86:779
  10. 10.  Giannetti C, Capone M, Fausti D, Fabrizio M, Parmigiani F, Mihailovic D 2016. Adv. Phys. 65:58–238
  11. 11.  Mankowsky R, Först M, Cavalleri A 2016. Rep. Prog. Phys. 79:064503
  12. 12.  Basov DN, Averitt RD, Hsieh D 2017. Nat. Mater. 16:1077–88
  13. 13.  Cavalleri A 2017. Contemp. Phys. 59:31–46
  14. 14.  Sawa A 2008. Mater. Today 11:28–36
  15. 15.  Cario L, Vaju C, Corraze B, Guiot V, Janod E 2010. Adv. Mater. 22:5193–97
  16. 16.  Pan F, Gao S, Chen C, Song C, Zeng F 2014. Mater. Sci. Eng.: R: Rep. 83:1–59
  17. 17.  Shirley JH 1965. Phys. Rev. 138:B979–87
  18. 18.  Dunlap DH, Kenkre VM 1986. Phys. Rev. B 34:3625–33
  19. 19.  Sambe H 1973. Phys. Rev. A 7:2203–13
  20. 20.  Hänggi P 1988. Quantum Transport and Dissipation T Dittrich, P Hänggi, G-L Ingold, B Kramer, G Schön, W Zwerger249–86 Weinheim, Germ.: Wiley-VCH
  21. 21.  Moskalets M, Büttiker M 2002. Phys. Rev. B 66:205320
  22. 22.  Grifoni M, Hänggi P 1998. Phys. Rep. 304:229–354
  23. 23.  Chu SI, Telnov DA 2004. Phys. Rep. 390:1–131
  24. 24.  Joura AV, Freericks JK, Pruschke T 2008. Phys. Rev. Lett. 101:196401
  25. 25.  Tsuji N, Oka T, Aoki H 2008. Phys. Rev. B 78:235124
  26. 26.  Oka T, Aoki H 2008. Phys. Rev. B 78:241104
  27. 27.  Tsuji N, Oka T, Aoki H 2009. Phys. Rev. Lett. 103:047403
  28. 28.  Heidrich-Meisner F, González I, Al-Hassanieh KA, Feiguin AE, Rozenberg MJ, Dagotto E 2010. Phys. Rev. B 82:205110
  29. 29.  Lee WR, Park K 2014. Phys. Rev. B 89:205126
  30. 30.  Mikami T, Kitamura S, Yasuda K, Tsuji N, Oka T, Aoki H 2016. Phys. Rev. B 93:144307
  31. 31.  Qin T, Hofstetter W 2017. Phys. Rev. B 96:075134
  32. 32.  Murakami Y, Tsuji N, Eckstein M, Werner P 2017. Phys. Rev. B 96:045125
  33. 33.  Murakami Y, Eckstein M, Werner P 2018. Phys. Rev. Lett. 121:057405
  34. 34.  Seetharam KI, Bardyn CE, Lindner NH, Rudner MS, Refael G 2015. Phys. Rev. X 5:041050
  35. 35.  Dehghani H, Oka T, Mitra A 2014. Phys. Rev. B 90:195429
  36. 36.  Babadi M, Knap M, Martin I, Refael G, Demler E 2017. Phys. Rev. B 96:014512
  37. 37.  Sentef MA, Kemper AF, Georges A, Kollath C 2016. Phys. Rev. B 93:144506
  38. 38.  Sentef MA 2017. Phys. Rev. B 95:205111
  39. 39.  Kennes DM, Wilner EY, Reichman DR, Millis AJ 2017. Nat. Phys. 13:479
  40. 40.  D'Alessio L, Rigol M 2014. Phys. Rev. X 4:041048
  41. 41.  Lazarides A, Das A, Moessner R 2014. Phys. Rev. E 90:012110
  42. 42.  D'Alessio L, Polkovnikov A 2013. Ann. Phys. 333:19–33
  43. 43.  Kuwahara T, Mori T, Saito K 2016. Ann. Phys. 367:96–124
  44. 44.  Mori T, Kuwahara T, Saito K 2016. Phys. Rev. Lett. 116:120401
  45. 45.  Abanin D, Roeck WD, Ho WW, Huveneers F 2017. Commun. Math. Phys. 354:809–27
  46. 46.  Ponte P, Chandran A, Papi Z, Abanin DA 2015. Ann. Phys. 353:196–204
  47. 47.  Weinberg P, Bukov M, D'Alessio L, Polkovnikov A, Vajna S, Kolodrubetz M 2017. Phys. Rep. 688:1–35
  48. 48.  Haldar Asmi MR, Das A 2018. Phys. Rev. B 97:245122
  49. 49.  Goldman N, Dalibard J 2014. Phys. Rev. X 4:031027
  50. 50.  Eckardt A 2017. Rev. Mod. Phys. 89:011004
  51. 51.  Hasan MZ, Kane CL 2010. Rev. Mod. Phys. 82:3045–67
  52. 52.  Qi XL, Zhang SC 2011. Rev. Mod. Phys. 83:1057–110
  53. 53.  Castro Neto AH, Guinea F, Peres NMR, Novoselov KS, Geim AK 2009. Rev. Mod. Phys. 81:109–62
  54. 54.  Armitage NP, Mele EJ, Vishwanath A 2018. Rev. Mod. Phys. 90:015001
  55. 55.  Yan B, Felser C 2017. Annu. Rev. Condens. Matter Phys. 8:337–54
  56. 56.  Imada M, Fujimori A, Tokura Y 1998. Rev. Mod. Phys. 70:1039–263
  57. 57.  Thouless DJ 1983. Phys. Rev. B 27:6083–87
  58. 58.  Rice MJ, Mele EJ 1982. Phys. Rev. Lett. 49:1455–59
  59. 59.  Kitagawa T, Berg E, Rudner M, Demler E 2010. Phys. Rev. B 82:235114
  60. 60.  Thouless DJ, Kohmoto M, Nightingale MP, den Nijs M 1982. Phys. Rev. Lett. 49:405–8
  61. 61.  Bukov M, D'Alessio L, Polkovnikov A 2015. Adv. Phys. 64:139
  62. 62.  Eckardt A, Anisimovas E 2015. New J. Phys. 17:093039
  63. 63.  Deutsch JM 1991. Phys. Rev. A 43:2046–49
  64. 64.  Reimann P, Kastner M 2012. New J. Phys. 14:043020
  65. 65.  Berges J, Borsányi S, Wetterich C 2004. Phys. Rev. Lett. 93:142002
  66. 66.  Calabrese P, Cardy J 2006. Phys. Rev. Lett. 96:136801
  67. 67.  Moeckel M, Kehrein S 2008. Phys. Rev. Lett. 100:175702
  68. 68.  Mori T, Ikeda TN, Kaminishi E, Ueda M 2017. J. Phys. B. 51:112001
  69. 69.  Mitra A 2018. Annu. Rev. Condens. Matter Phys. 9:245–59
  70. 70.  Casas F, Oteo JA, Ros J 2001. J. Phys. A: Math. Gen. 34:3379
  71. 71.  Mananga ES, Charpentier T 2011. J. Chem. Phys. 135:044109
  72. 72.  Pershan PS, van der Ziel JP, Malmstrom LD 1966. Phys. Rev. 143:574–83
  73. 73.  Mentink JH, Balzer K, Eckstein M 2015. Nat. Commun. 6:6708
  74. 74.  Bukov M, Kolodrubetz M, Polkovnikov A 2016. Phys. Rev. Lett. 116:125301
  75. 75.  Kitamura S, Oka T, Aoki H 2017. Phys. Rev. B 96:014406
  76. 76.  Claassen M, Jiang H-C, Moritz B, Devereaux TP 2017. Nat. Commun. 8:1192
  77. 77.  Oka T, Aoki H 2009. Phys. Rev. B 79:081406
  78. 78.  Kitagawa T, Oka T, Brataas A, Fu L, Demler E 2011. Phys. Rev. B 84:235108
  79. 79.  Kitagawa T, Berg E, Rudner M, Demler E 2010. Phys. Rev. B 82:235114
  80. 80.  Lindner NH, Refael G, Galitski V 2011. Nat. Phys. 7:490–95
  81. 81.  Ishikawa T, Sagae Y, Naitoh Y, Kawakami Y, Itoh H et al. 2014. Nat. Commun. 5:5528
  82. 82.  Haldane FDM 1988. Phys. Rev. Lett. 61:2015–18
  83. 83.  Aharonov Y, Anandan J 1987. Phys. Rev. Lett. 58:1593–96
  84. 84.  Berry MV 1984. Proc. R. Soc. A: Math., Phys. Eng. Sci. 392:45–57
  85. 85.  Jotzu G, Messer M, Desbuquois R, Lebrat M, Uehlinger T et al. 2014. Nature 515:237–40
  86. 86.  Rechtsman MC, Zeuner JM, Plotnik Y, Lumer Y, Podolsky D et al. 2013. Nature 496:196–200
  87. 87.  Wang YH, Steinberg H, Jarillo-Herrero P, Gedik N 2013. Science 342:453–57
  88. 88.  Torres M, Kunold A 2005. Phys. Rev. B 71:115313
  89. 89.  Dehghani H, Oka T, Mitra A 2015. Phys. Rev. B 91:155422
  90. 90.  Oka T, Aoki H 2010. J. Phys.: Conf. Ser. 334:5
  91. 91.  Ikebe Y, Morimoto T, Masutomi R, Okamoto T, Aoki H, Shimano R 2010. Phys. Rev. Lett. 104:256802
  92. 92.  Gu Z, Fertig HA, Arovas DP, Auerbach A 2011. Phys. Rev. Lett. 107:216601
  93. 93.  Žutić I, Fabian J, Das Sarma S 2004. Rev. Mod. Phys. 76:323–410
  94. 94.  Kimel AV, Kirilyuk A, Usachev PA, Pisarev RV, Balbashov AM, Rasing T 2005. Nature 435:655–57
  95. 95.  Stanciu CD, Hansteen F, Kimel AV, Kirilyuk A, Tsukamoto A et al. 2007. Phys. Rev. Lett. 99:047601
  96. 96.  Tokura Y, Seki S, Nagaosa N 2014. Rep. Prog. Phys. 77:076501
  97. 97.  Tanabe Y, Moriya T, Sugano S 1965. Phys. Rev. Lett. 15:1023–25
  98. 98.  Katsura H, Nagaosa N, Balatsky AV 2005. Phys. Rev. Lett. 95:057205
  99. 99.  Sato M, Sasaki Y, Oka T 2014. arXiv:1404.2010
  100. 100.  Sato M, Takayoshi S, Oka T 2016. Phys. Rev. Lett. 117:147202
  101. 101.  Takayoshi S, Aoki H, Oka T 2014. Phys. Rev. B 90:085150
  102. 102.  Takayoshi S, Sato M, Oka T 2014. Phys. Rev. B 90:214413
  103. 103.  Kaminski A, Nazarov YV, Glazman LI 2000. Phys. Rev. B 62:8154–70
  104. 104.  Goldin Y, Avishai Y 2000. Phys. Rev. B 61:16750–72
  105. 105.  Kugel KI, Khomski˘i DI 1982. Sov. Phys. Usp. 25:231–56
  106. 106.  Eckstein M, Mentink JH, Werner P 2017. arXiv:1703.03269
  107. 107.  Chaloupka J, Jackeli G, Khaliullin G 2010. Phys. Rev. Lett. 105:027204
  108. 108.  Bhattacharjee S, Lee SS, Kim YB 2012. N. J. Phys. 14:073015
  109. 109.  Kitaev A 2006. Ann. Phys. 321:2–111
  110. 110.  Bauer B, Cincio L, Keller BP, Dolfi M, Vidal G et al. 2014. Nat. Commun. 5:5137
  111. 111.  Shimizu Y, Miyagawa K, Kanoda K, Maesato M, Saito G 2003. Phys. Rev. Lett. 91:107001
  112. 112.  Koshihara S, Tokura Y, Mitani T, Saito G, Koda T 1990. Phys. Rev. B 42:6853–56
  113. 113.  Koshihara S, Tokura Y, Takeda K, Koda T 1992. Phys. Rev. Lett. 68:1148–51
  114. 114.  Cavalleri A, Tóth C, Siders CW, Squier JA, Ráksi F et al. 2001. Phys. Rev. Lett. 87:237401
  115. 115.  Yu G, Lee CH, Heeger AJ, Herron N, McCarron EM 1991. Phys. Rev. Lett. 67:2581–84
  116. 116.  Iwai S, Ono M, Maeda A, Matsuzaki H, Kishida H et al. 2003. Phys. Rev. Lett. 91:057401
  117. 117.  Perfetti L, Loukakos PA, Lisowski M, Bovensiepen U, Eisaki H, Wolf M 2007. Phys. Rev. Lett. 99:197001
  118. 118.  Wall S, Brida D, Clark SR, Ehrke HP, Jaksch D et al. 2010. Nat. Phys. 7:114–18
  119. 119.  Strohmaier N, Greif D, Jördens R, Tarruell L, Moritz H et al. 2010. Phys. Rev. Lett. 104:080401
  120. 120.  Fausti D, Tobey RI, Dean N, Kaiser S, Dienst A et al. 2011. Science 331:189–91
  121. 121.  Hu W, Kaiser S, Nicoletti D, Hunt CR, Gierz I et al. 2014. Nat. Mater. 13:705–11
  122. 122.  Kaiser S, Hunt CR, Nicoletti D, Hu W, Gierz I et al. 2014. Phys. Rev. B 89:184516
  123. 123.  Tokura Y, Okamoto H, Koda T, Mitani T, Saito G 1988. Phys. Rev. B 38:2215–18
  124. 124.  Asamitsu A, Tomioka Y, Kuwahara H, Tokura Y 1997. Nature 388:50–52
  125. 125.  Taguchi Y, Matsumoto T, Tokura Y 2000. Phys. Rev. B 62:7015–18
  126. 126.  Guiot V, Cario L, Janod E, Corraze B, Phuoc VT et al. 2013. Nat. Commun. 4:1722
  127. 127.  Hirori H, Shinokita K, Shirai M, Tani S, Kadoya Y, Tanaka K 2011. Nat. Commun. 2:594
  128. 128.  Oka T, Arita R, Aoki H 2003. Phys. Rev. Lett. 91:066406
  129. 129.  Oka T, Aoki H 2005. Phys. Rev. Lett. 95:137601
  130. 130.  Freericks JK, Turkowski VM, Zlatić V 2006. Phys. Rev. Lett. 97:266408
  131. 131.  Takahashi A, Itoh H, Aihara M 2008. Phys. Rev. B 77:205105
  132. 132.  Oka T, Aoki H 2010. Phys. Rev. B 81:033103
  133. 133.  Tsuji N, Oka T, Werner P, Aoki H 2011. Phys. Rev. Lett. 106:236401
  134. 134.  Oka T 2012. Phys. Rev. B 86:075148
  135. 135.  Bukov M, Kolodrubetz M, Polkovnikov A 2016. Phys. Rev. Lett. 116:125301
  136. 136.  Heisenberg W, Euler H 1936. Z. Phys. 98:714–32 (Translated to English in arXiv:0605038)
  137. 137.  Schwinger J 1951. Phys. Rev. 82:664–79
  138. 138.  Dunne GV 2009. Eur. Phys. J. D 55:327–40
  139. 139.  Gelis F, Tanji N 2016. Prog. Part. Nuclear Phys. 87:1–49
  140. 140.  Resta R 1994. Rev. Mod. Phys. 66:899–915
  141. 141.  King-Smith RD, Vanderbilt D 1993. Phys. Rev. B 47:1651–54
  142. 142.  Stafford CA, Millis AJ 1993. Phys. Rev. B 48:1409–25
  143. 143.  Liu M, Hwang HY, Tao H, Strikwerda AC, Fan K et al. 2012. Nature 487:345–48
  144. 144.  Fedotov AM, Narozhny NB, Mourou G, Korn G 2010. Phys. Rev. Lett. 105:080402
  145. 145.  Mayer B, Schmidt C, Grupp A, Bühler J, Oelmann J et al. 2015. Phys. Rev. B 91:235113
  146. 146.  Yamakawa H, Miyamoto T, Morimoto T, Terashige T, Yada H et al. 2017. Nat. Mater. 16:1100–5
  147. 147.  Mukai Y, Hirori H, Yamamoto T, Kageyama H, Tanaka K 2016. New J. Phys. 18:013045
  148. 148.  Knap M, Babadi M, Refael G, Martin I, Demler E 2016. Phys. Rev. B 94:214504
  149. 149.  Rozenberg MJ, Inoue IH, Sánchez MJ 2004. Phys. Rev. Lett. 92:178302
  150. 150.  Sow C, Yonezawa S, Kitamura S, Oka T, Kuroki K et al. 2017. Science 358:1084–87
  151. 151.  Silva REF, Blinov IV, Rubtsov AN, Smirnova O, Ivanov M 2018. Nat. Photonics 12:266–70
  152. 152.  Murakami Y, Eckstein M, Werner P 2018. Phys. Rev. Lett. 121:057405
  153. 153.  Martin I, Refael G, Halperin B 2017. Phys. Rev. X 7:041008
/content/journals/10.1146/annurev-conmatphys-031218-013423
Loading
Floquet Engineering of Quantum Materials
Annual Review of Condensed Matter Physics 10, 387 (2019); https://doi.org/10.1146/annurev-conmatphys-031218-013423
/content/journals/10.1146/annurev-conmatphys-031218-013423
/content/journals/10.1146/annurev-conmatphys-031218-013423
Loading

Data & Media loading...

  • Article Type: Review Article

Most Cited Most Cited RSS feed

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