RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2017

 / 

July

←  →

Physics of our days


Quantum melting of a two-dimensional Wigner crystal


Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Akademika Osip'yana str. 2, Chernogolovka, Moscow Region, 142432, Russian Federation

The paper reviews theoretical predictions for the behavior of two-dimensional low-density electron systems at near absolute zero temperatures, including the formation of an electron (Wigner) crystal, crystal melting at a critical electron density, and transitions between crystal modifications in more complex (for example, two-layer) systems. The paper presents experimental results obtained from real two-dimensional systems in which the non-conducting (solid) state of the electronic system with indications of collective localization is actually realized. Experimental methods for detecting a quantum liquid-solid phase interface are discussed.

Fulltext pdf (223 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2017.01.038051
Keywords: two-dimensional electron system, Wigner crystal, electrons in semiconductors
PACS: 68.65.Pq, 71.10.Hf, 73.20.Qt (all)
DOI: 10.3367/UFNe.2017.01.038051
URL: https://ufn.ru/en/articles/2017/7/e/
000412937700005
2-s2.0-85031823843
2017PhyU...60..731D
Citation: Dolgopolov V T "Quantum melting of a two-dimensional Wigner crystal" Phys. Usp. 60 731–742 (2017)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 26th, September 2016, revised: 20th, December 2016, 17th, January 2017

Оригинал: Долгополов В Т «Квантовое плавление двумерного вигнеровского кристалла» УФН 187 785–797 (2017); DOI: 10.3367/UFNr.2017.01.038051

References (83) ↓ Cited by (10) Similar articles (5)

  1. Wigner E Phys. Rev. 46 1002 (1934)
  2. Monarkha Yu P, Sivokon’ V E Fizika Nizkikh Temperatur 38 1355 (2012); Monarkha Yu P, Sivokon’ V E Low Temp. Phys. 38 1067 (2012)
  3. Chaplik A V Zh. Eksp. Teor. Fiz. 62 746 (1972); Chaplik A V Sov. Phys. JETP 35 395 (1972)
  4. Lindemann F A Phys. Z. 11 609 (1910)
  5. Landau L D, Lifshits E M Statisticheskaya Fizika 2-e izd. (M.: Fizmatgiz, 1964); Per. na angl. yaz., Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pegramon Press, 1980)
  6. Sólyom J EPJ Web Conf. 78 01009 (2014)
  7. Kukushkin I V, Timofeev V B Adv. Phys. 45 147 (1996)
  8. Jang J et al. Nature Phys. 13 340 (2017); Jang J et al. arXiv:1604.06220
  9. Fukuyama H Solid State Commun. 17 1323 (1975)
  10. Lozovik Yu E, Yudson V I Pis’ma ZhETF 22 26 (1975); Lozovik Yu E, Yudson V I JETP Lett. 22 11 (1975)
  11. Bedanov V M, Gadiyak G V, Lozovik Yu E Zh. Eksp. Teor. Fiz. 88 1622 (1985); Bedanov V M, Gadiyak G V, Lozovik Yu E Sov. Phys. JETP 61 967 (1985)
  12. Tanatar B, Ceperley D Phys. Rev. B 39 5005 (1989)
  13. Chui S T, Esfarjani K Europhys. Lett. 14 361 (1991)
  14. Chui S T, Tanatar B Phys. Rev. Lett. 74 458 (1995)
  15. Pudalov V M et al. Phys. Rev. Lett. 70 1866 (1993)
  16. Khodel’ V A, Shaginyan V R Pis’ma ZhETF 51 488 (1990); Khodel V A, Shaginyan V R JETP Lett. 51 553 (1990)
  17. Amusia M Ya et al. Theory Of Heavy-Fermion Compounds. Theory Of Strongly Correlated Fermi-Systems (New York: Springer, 2014)
  18. Dolgopolov V T Pis’ma ZhETF 101 300 (2015); Dolgopolov V T JETP Lett. 101 282 (2015)
  19. Fleury G, Waintal X Phys. Rev. B 81 165117 (2010)
  20. Pudalov V M, Gershenson M, Kojima H Fundamental Problems Of Mesoscopic Physics. Interactions And Decoherence (NATO Science Ser. II) Vol. 154 (Eds I V Lerner, B L Altshuler, Y Gefen) (Dordrecht: Springer Science + Business Media, 2004) p. 309
  21. Lam P K, Girvin S M Phys. Rev. B 30 473(R) (1984)
  22. Jiang H W et al. Phys. Rev. B 44 8107 (1991)
  23. D’Iorio M, Pudalov V M, Semenchinsky S G Phys. Rev. B 46 15992 (1992)
  24. Shashkin A A, Kravchenko G V, Dolgopolov V T Pis’ma ZhETF 58 215 (1993); Shashkin A A, Kravchenko G V, Dolgopolov V T JETP Lett. 58 220 (1993)
  25. D’Iorio M, Pudalov V M, Semenchinsky S G Phys. Lett. A 150 422 (1990)
  26. Kukushkin I V, Timofeev V B Usp. Fiz. Nauk 163 (7) 1 (1993); Kukushkin I V, Timofeev V B Phys. Usp. 36 549 (1993)
  27. Ulinich F P, Usov N A Zh. Eksp. Teor. Fiz. 76 288 (1979); Ulinich F P, Usov N A Sov. Phys. JETP 49 147 (1979)
  28. Yoshioka D J. Phys. Soc. Jpn. 53 3740 (1984)
  29. Yoshioka D J. Phys. Soc. Jpn. 55 885 (1986)
  30. Platzman P M The Physics Of The Two-Dimensional Electron Gas (NATO ASI Ser., Ser. B) Vol. 157 (Eds T J Devreese, F M Peeters) (New York: Plenum Press, 1987) p. 97
  31. Zhu X, Louie S G Phys. Rev. Lett. 70 335 (1993)
  32. Qiu R L J et al. arXiv:1509.07463
  33. Shashkin A A et al. Phys. Rev. Lett. 73 3141 (1994)
  34. Stormer H L, Willett R L Phys. Rev. Lett. 62 972 (1989)
  35. Jiang H W et al. Phys. Rev. Lett. 65 633 (1990)
  36. Goldman V J et al. Phys. Rev. Lett. 65 2189 (1990)
  37. Williams F I B et al. Phys. Rev. Lett. 66 3285 (1991)
  38. Li Y P et al. Phys. Rev. Lett. 67 1630 (1991)
  39. Jiang H W et al. Phys. Rev. B 44 8107 (1991)
  40. Khrapai V S et al. Phys. Rev. Lett. 100 196805 (2008)
  41. Kravchenko S V et al. Phys. Rev. Lett. 75 910 (1995)
  42. Pudalov V M, D’lorio M, Campbell J W Pis’ma ZhETF 57 592 (1993); Pudalov V M, D’lorio M, Campbell J W JETP Lett. 57 608 (1993)
  43. Pudalov V M Physics Of The Electron Solid (Conf. Proc. and Lecture Notes in Applied Physics) Vol. 1 (Ed. S T Chui) (Cambridge, MA: International Press, 1994)
  44. Holmes S N et al. J. Phys. Condens. Matter 20 472207 (2008)
  45. Kononov A et al. Phys. Rev. B 86 125304 (2012)
  46. Dahal H P et al. Phys. Rev. B 74 233405 (2006)
  47. Dolgopolov V T Usp. Fiz. Nauk 184 113 (2014); Dolgopolov V T Phys. Usp. 57 105 (2014)
  48. Zhang C-H, Joglekar Y N Phys. Rev. B 75 245414 (2007)
  49. Zhang C-H, Joglekar Y N Phys. Rev. B 77 205426 (2008)
  50. Coté R, Jobidon J-F, Fertig H A Phys. Rev. B 78 085309 (2008)
  51. Dahal H P et al. arXiv:0706.1689
  52. Silvestrov P G, Recher R Phys. Rev. B 95 075438 (2017); Silvestrov P G, Recher R arXiv:1602.02777
  53. Silvestrov P G, Entin-Wohlman O Phys. Rev. B 89 155103 (2014)
  54. Berg E, Rudner M S, Kivelson S A Phys. Rev. B 85 035116 (2012)
  55. Falko V I Phys. Rev. B 49 7774 (1994)
  56. Esfarjani K, Kawazoe Y J. Phys. Condens. Matter 7 7217 (1995)
  57. Goldoni G, Peeters F M Phys. Rev. B 53 4591 (1996)
  58. Schweigert I V, Schweigert V A, Peeters F M Phys. Rev. Lett. 82 5293 (1999)
  59. Weis J-J, Levesque D, Jorge S Phys. Rev. B 63 045308 (2001)
  60. Messina R, Löwen H Phys. Rev. Lett. 91 146101 (2003)
  61. Oguz E C, Messina R, Lowen H Europhys. Lett. 86 28002 (2009)
  62. Lobaskin V, Netz R R Europhys. Lett. 77 38003 (2007)
  63. Šamaj L, Trizac E Phys. Rev. B 85 205131 (2012)
  64. Schweigert I V, Schweigert V A, Peeters F M Phys. Rev. B 60 14665 (1999)
  65. Narasimhan S, Ho T-L Phys. Rev. B 52 12291 (1995)
  66. Andrei E Y et al. Phys. Rev. Lett. 60 2765 (1988)
  67. Stormer H L, Willett R L Phys. Rev. Lett. 68 2104 (1992)
  68. Shashkin A A, Dolgopolov V T, Kravchenko G V Phys. Rev. B 49 14486 (1994)
  69. Buhmann H et al. Phys. Rev. Lett. 65 1056 (1990)
  70. Li C-C et al. Phys. Rev. B 61 10905 (2000)
  71. Ye P D et al. Phys. Rev. Lett. 89 176802 (2002)
  72. Chen Y P et al. Phys. Rev. Lett. 93 206805 (2004)
  73. Wang Z et al. Phys. Rev. Lett. 99 136804 (2007)
  74. Doveston J B et al. Physica E 12 296 (2002)
  75. Wang Z et al. Phys. Rev. B 85 195408 (2012); Wang Z et al. arXiv:1101.2436
  76. Drichko I L et al. Solid State Commun. 213-214 46 (2015)
  77. Andreev A F, Lifshits I M Zh. Eksp. Teor. Fiz. 56 2057 (1969); Andreev A F, Lifshitz I M Sov. Phys. JETP 29 1107 (1969)
  78. Halperin B I, Nelson D R Phys. Rev. Lett. 41 121 (1978)
  79. Spivak B, Kivelson S A Phys. Rev. B 70 155114 (2004)
  80. Falakshahi H, Waintal X Phys. Rev. Lett. 94 046801 (2005)
  81. Waintal X Phys. Rev. B 73 075417 (2006)
  82. Dolgopolov V T Pis’ma ZhETF 76 437 (2002); Dolgopolov V T JETP Lett. 76 377 (2002)
  83. Dolgopolov V T, Shashkin A A Pis’ma ZhETF 95 648 (2012); Dolgopolov V T, Shashkin A A JETP Lett. 95 570 (2012)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions