Hall conductance of Bloch electrons in a magnetic field
D. Springsguth, R. Ketzmerick, and T. Geisel
TL;DR
This paper investigates the energy spectrum and quantized Hall conductance of electrons in a 2D periodic potential under a magnetic field, emphasizing the effects of Landau band coupling on conductance and band structure.
Contribution
It provides a detailed analysis of Landau band coupling effects on Hall conductance, revealing significant deviations from the one-band Hofstadter model.
Findings
Landau band coupling causes notable changes in Hall conductance.
Rearrangement of subbands due to band coupling.
Unexpected subband contributions to Hall conductance.
Abstract
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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