Hall conductance of Bloch electrons in a magnetic field

Details Hall conductance of Bloch electrons in a magnetic field Hall conductance of Bloch electrons in a magnetic field

1997-05-21

arxiv.org/abs/cond-mat/9705208v1

Phys. Rev. B 56 (1997) 2036

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

to appear in PRB; Revtex, 9 pages, 5 postscript figures; figures with better resolution may be obtained from http://www.chaos.

Scientific paper

10.1103/PhysRevB.56.2036

We study the energy spectrum and the quantized Hall conductance of electrons in a two-dimensional periodic potential with perpendicular magnetic field WITHOUT neglecting the coupling of the Landau bands. Remarkably, even for weak Landau band coupling significant changes in the Hall conductance compared to the one-band approximation of Hofstadter's butterfly are found. The principal deviations are the rearrangement of subbands and unexpected subband contributions to the Hall conductance.

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