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

Issues

 / 

2007

 / 

February

←  →

Reviews of topical problems


Edge states in the regimes of integer and fractional quantum Hall effects


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

The current state of research into the structure and properties of edge states emerging in the regimes of integer and fractional quantum Hall effect is reviewed. A consistent description of the results obtained for these two regimes allows specifying the effects caused by the electron-electron interaction. The most important areas of further studies are outlined.

Fulltext pdf (410 KB)
Fulltext is also available at DOI: 10.1070/PU2007v050n02ABEH006244
PACS: 73.43.−f, 73.43.Fj (all)
DOI: 10.1070/PU2007v050n02ABEH006244
URL: https://ufn.ru/en/articles/2007/2/d/
000247098500004
2-s2.0-34250374452
2007PhyU...50..197D
Citation: Devyatov E V "Edge states in the regimes of integer and fractional quantum Hall effects" Phys. Usp. 50 197–218 (2007)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Девятов Э В «Краевые состояния в режимах целочисленного и дробного квантовых эффектов Холла» УФН 177 207–229 (2007); DOI: 10.3367/UFNr.0177.200702d.0207

References (70) ↓ Cited by (28) Similar articles (20)

  1. Khaikin M S Pis’ma ZhETF 4 164 (1966); Khaikin M S Zh. Eksp. Teor. Fiz. 55 1696 (1968)
  2. Prendzha R, Girvina S (Red.) Kvantovyi Effekt Kholla (M.: Mir, 1989)
  3. Landauer R Philos. Mag. 21 863 (1970)
  4. Büttiker M Phys. Rev. B 38 9375 (1988)
  5. Luttinger J M J. Math. Phys. 4 1154 (1963)
  6. Wen X-G Phys. Rev. B 43 11025 (1991); Wen X-G Phys. Rev. Lett. 64 2206 (1990); Wen X-G Phys. Rev. B 44 5708 (1991)
  7. Haug R J Semicond. Sci. Technol. 8 131 (1993)
  8. Landau L D, Lifshits E M Kvantovaya Mekhanika: Nerelyativistskaya Teoriya (M.: Fizmatlit, 2001)
  9. Halperin B I Phys. Rev. B 25 2185 (1982)
  10. Müller G et al. Phys. Rev. B 45 3932 (1992)
  11. Khaetskii A V Phys. Rev. B 45 13777 (1992)
  12. Dixon D C et al. Phys. Rev. B 56 4743 (1997)
  13. Machida T et al. Phys. Rev. B 65 233304 (2002)
  14. Chklovskii D B, Shklovskii B I, Glazman L I Phys. Rev. B 46 4026 (1992)
  15. Ahlswede E et al. Physica E 12 165 (2002)
  16. Thouless D J Phys. Rev. Lett. 71 1879 (1993)
  17. Müller G et al. Surf. Sci. 263 280 (1992)
  18. Würtz A et al. Phys. Rev. B 65 075303 (2002)
  19. Deviatov E V et al. Phys. Rev. B 74 073303 (2006)
  20. Deviatov E V et al. Pis’ma ZhETF 82 598 (2005)
  21. Dolgopolov V T et al. Phys. Rev. Lett. 79 729 (1997)
  22. Deviatov E V, Dolgopolov V T, Würtz A Pis’ma ZhETF 79 618 (2004)
  23. Deviatov E V et al. Phys. Rev. B 69 115330 (2004)
  24. Davies A G et al. Phys. Rev. B 54 R17331 (1996)
  25. Dolgopolov V T et al. Phys. Rev. B 59 13235 (1999)
  26. Deviatov E V et al. Pis’ma ZhETF 71 724 (2000)
  27. Sawada A et al. Phys. Rev. Lett. 80 4534 (1998); Sawada A et al. Phys. Rev. B 59 14888 (1999)
  28. Pellegrini V et al. Phys. Rev. Lett. 78 310 (1997); Pellegrini V et al. Science 281 799 (1998)
  29. Khrapai V S et al. Phys. Rev. Lett. 84 725 (2000)
  30. Das Sarma S, Sachdev S, Zheng L Phys. Rev. Lett. 79 917 (1997); Das Sarma S, Sachdev S, Zheng L Phys. Rev. B 58 4672 (1998); Demler E, Das Sarma S Phys. Rev. Lett. 82 3895 (1999); Brey L, Demler E, Das Sarma S Phys. Rev. Lett. 83 168 (1999)
  31. Jungwirth T et al. Phys. Rev. Lett. 81 2328 (1998); MacDonald A H, Platzman P M, Boebinger G S Phys. Rev. Lett. 65 775 (1990)
  32. Iordanski S V, Kashuba A Pis’ma ZhETF 75 419 (2002)
  33. Deviatov E V et al. Pis’ma ZhETF 79 206 (2004)
  34. Dempsey J, Gelfand B Y, Halperin B I Phys. Rev. Lett. 70 3639 (1993); Gelfand B Y, Halperin B I Phys. Rev. B 49 1862 (1994)
  35. Rijkels L, Bauer G E W Phys. Rev. B 50 8629 (1994)
  36. Deviatov E V et al. Phys. Rev. B 72 041305(R) (2005)
  37. Deviatov E V et al. Pis’ma ZhETF 75 36 (2002)
  38. Volkov V A, Mikhailov S A Zh. Eksp. Teor. Fiz. 94 217 (1988)
  39. Wassermeier M et al. Phys. Rev. B 41 10287 (1990); Grodnensky I, Heitmann, von Klitzing K Phys. Rev. Lett. 67 1019 (1991); Talyanskii V I et al. Phys. Rev. B 46 12427 (1992)
  40. Ashoori R C et al. Phys. Rev. B 45 3894 (1992); Zhitenev N B Pis’ma ZhETF 55 722 (1992)
  41. Zhitenev N B et al. Phys. Rev. Lett. 71 2292 (1993)
  42. Ernst G et al. Phys. Rev. Lett. 79 3748 (1997)
  43. Aleiner I L, Glazman L I Phys. Rev. Lett. 72 2935 (1994)
  44. Deviatov E V et al. Appl. Phys. Lett. 71 3655 (1997)
  45. Laughlin R B Phys. Rev. Lett. 50 1395 (1983)
  46. Halperin B I Helv. Phys. Acta 56 75 (1983); Xie X C, Guo Y, Zhang F C Phys. Rev. B 40 3487 (1989); Chakraborty T, Pietiläinen P Phys. Rev. B 41 10862 (1990)
  47. Eisenstein J P et al. Phys. Rev. B 41 7910 (1990); Engel L W et al. Phys. Rev. B 45 3418 (1992); Kang W et al. Phys. Rev. B 56 R12776 (1997)
  48. Dolgopolov V T et al. Phys. Status Solidi B 243 3648 (2006); Dolgopolov V T et al. cond-mat/0606716
  49. Jain J K Phys. Rev. Lett. 63 199 (1989)
  50. Willett R L et al. Phys. Rev. Lett. 71 3846 (1993)
  51. MacDonald A H Phys. Rev. Lett. 64 220 (1990)
  52. Brey L Phys. Rev. B 50 11861 (1994)
  53. Ernst G et al. Phys. Rev. Lett. 77 4245 (1996)
  54. Kane C L, Fisher M P A Phys. Rev. B 46 15233 (1992); Kane C L, Fisher M P A Phys. Rev. Lett. 68 1220 (1992)
  55. Shytov A V, Levitov L S, Halperin B I Phys. Rev. Lett. 80 141 (1998)
  56. Chang A M, Pfeiffer L N, West K W Phys. Rev. Lett. 77 2538 (1996)
  57. Grayson M et al. Phys. Rev. Lett. 80 1062 (1998); Hilke M et al. Phys. Rev. Lett. 87 186806 (2001)
  58. Beenakker C W J Phys. Rev. Lett. 64 216 (1990)
  59. Syphers D A, Stiles P J Phys. Rev. B 32 6620 (1985); Haug R J et al. Phys. Rev. Lett. 61 2797 (1988); Washburn S et al. Phys. Rev. Lett. 61 2801 (1988); Matsuda Y et al. Phys. Rev. B 40 5176 (1989)
  60. Chamon C de C, Wen X G Phys. Rev. B 49 8227 (1994)
  61. Chklovskii D B Phys. Rev. B 51 9895 (1995)
  62. Conti S, Vignale G Phys. Rev. B 54 R14309 (1996)
  63. Kouwenhoven L P et al. Phys. Rev. Lett. 64 685 (1990)
  64. Chang A M, Cunningham J E Phys. Rev. Lett. 69 2114 (1992)
  65. Roddaro S et al. Phys. Rev. Lett. 93 046801 (2004); Roddaro S et al. Phys. Rev. Lett. 95 156804 (2005)
  66. Shashkin A A et al. Pis’ma ZhETF 69 561 (1999)
  67. Zülicke U, Shimshoni E Phys. Rev. B 69 085307 (2004); Zülicke U, Shimshoni E Phys. Rev. Lett. 90 026802 (2003)
  68. Deviatov E V et al. cond-mat/0606741
  69. Novoselov K S et al. Nature 438 197 (2005)
  70. Wan X, Yang K, Rezayi E H Phys. Rev. Lett. 88 056802 (2002); Wan X, Rezayi E H, Yang K Phys. Rev. B 68 125307 (2003)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions