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Volumn 56, Issue 12, 1997, Pages R7100-R7103

Quantum Hall effect of interacting electrons in a periodic potential

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EID: 0001040632     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.56.R7100     Document Type: Article
Times cited : (23)

References (29)
  • 2
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    • For recent experiments, see T. Schlösser et al., Europhys. Lett. 33, 683 (1996) and
    • (1996) Europhys. Lett. , vol.33 , pp. 683
    • Schlösser, T.1
  • 4
    • 0026818602 scopus 로고
    • D. Weiss et al., Surf. Sci. 263, 314 (1992).
    • (1992) Surf. Sci. , vol.263 , pp. 314
    • Weiss, D.1
  • 7
    • 4243671910 scopus 로고
    • D. P. Arovas et al., 60, 619 (1988).
    • (1988) , vol.60 , pp. 619
    • Arovas, D.1
  • 10
    • 0004989370 scopus 로고    scopus 로고
    • D. Springsguth et al., cond-mat/9705208, Phys. Rev. B. (to be published) and work cited therein It also appears unlikely that composite fermion Chern-Simons mean-field theory would generally yield correct Hall conductivity values in the presence of a periodic potential, although this question has not been explored in detail as far as we are aware
    • Christian Schulze et al., Z. Phys. B 103, 441 (1997); D. Springsguth et al., cond-mat/9705208, Phys. Rev. B. (to be published) and work cited therein.It also appears unlikely that composite fermion Chern-Simons mean-field theory would generally yield correct Hall conductivity values in the presence of a periodic potential, although this question has not been explored in detail as far as we are aware.
    • (1997) Z. Phys. B , vol.103 , pp. 441
  • 14
    • 0001560031 scopus 로고
    • Note that at rational values of ν this equation does not fix the integers σ and (Formula presented) uniquely
    • A. H. MacDonald, Phys. Rev. B 28, 6713 (1983). Note that at rational values of ν this equation does not fix the integers σ and (Formula presented) uniquely.
    • (1983) Phys. Rev. B , vol.28 , pp. 6713
    • MacDonald, A.1
  • 15
    • 0038889959 scopus 로고
    • These authors concentrated on the implications of Chern-Simons mean-field approximation for possible novel QH states which are stable only when both interactions and a periodic potential are present
    • The FQHE in a periodic potential has been studied previously by A. Kol and N. Read, Phys. Rev. B 48, 8890 (1993). These authors concentrated on the implications of Chern-Simons mean-field approximation for possible novel QH states which are stable only when both interactions and a periodic potential are present.
    • (1993) Phys. Rev. B , vol.48 , pp. 8890
    • Kol, A.1    Read, N.2
  • 17
    • 84931537817 scopus 로고
    • More recently several authors have studied the infludence of interactions on the periodic potential spectrum for the case of two interacting particles: Y. Imry, Europhys. Lett. 30, 405 (1995).
    • (1995) Europhys. Lett. , vol.30 , pp. 405
    • Imry, Y.1
  • 19
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    • Armelle Barelli et al., 55, 5424 (1997).
    • (1997) , vol.55 , pp. 5424
  • 20
    • 0030192740 scopus 로고    scopus 로고
    • The influence of interactions on the Hofstader spectrum has been studied using mean-field approximations by Vidar Gudmundsson and Rolf R. Gerhardts. See Surf. Sci. 361-362, 505 (1996) and
    • (1996) Surf. Sci. , vol.361-362 , pp. 505
  • 26
    • 4243604108 scopus 로고
    • our case, however, the insulating behavior at strong modulation does not require electron-electron interactions
    • The transition appears similar to the QH to Mott insulator transition studied by X.-G. Wen and Y.-S. Wu, Phys. Rev. Lett. 50, 1501 (1993). In our case, however, the insulating behavior at strong modulation does not require electron-electron interactions.
    • (1993) Phys. Rev. Lett. , vol.50 , pp. 1501
  • 29


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