Hofstadter butterfly and integer quantum Hall effect in three dimensions

Physical Review Letters

Volumn 86, Issue 6, 2001, Pages 1062-1065

  Koshino, M ^a   Aoki, H ^a   Kuroki, K ^a,b   Kagoshima, S ^a   Osada, T ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ELECTRONS; ENERGY GAP; FERMI LEVEL; HALL EFFECT; INTEGRAL EQUATIONS; MAGNETIC FIELDS; NONLINEAR EQUATIONS;

HALL CONDUCTIVITY; HOFSTADTER BUTTERFLY; INTEGER QUANTUM HALL EFFECT; LANDAU QUANTIZATION GAPS; SCHRODINGER EQUATIONS;

QUANTUM THEORY;

EID: 17744410432     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1062     Document Type: Article

References (14)

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9. This condition can be relaxed [M. Koshino et al. (unpublished)].
10. z.
11. Magnetotransports such as the angle-dependent magnetoresistance oscillation have been experimentally observed in moderate magnetic fields (see, e.g., T. Ishiguro, K. Yamaji, and G. Saito, Organic Superconductors (Springer, New York, 1998), 2nd ed.
12. In 2D there is a body of works where superstructures with large unit cells are fabricated to observe the butterfly. See, e.g., B. Pannetier et al., Surf. Sci. 229, 331 (1990).
13. Electron-electron interaction may not be negligible, which, e.g., gives rise to spin-density waves in TMTSF compounds in strong magnetic fields.
14. H. Aoki, Surf. Sci. 263, 137 (1992).