Date of Original Version
The Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field and a periodic substrate potential U. The Kubo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap. Explicit expressions have been obtained for the Hall conductance for both large and small U/ℏωc.
Thoules, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982). Quantized Hall Conductance in a Two-Dimensional Periodic Potential. Physical Review Letters, 49(6), 406-408. doi: 10.1103/PhysRevLett.49.405
Available at: https://doi.org/10.1103/PhysRevLett.49.405
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