Quantized Hall Conductance in a Two-Dimensional Periodic Potential

Authors

D. J. Thoules
M. Kohmoto
M. P. Nightingale, University of Rhode IslandFollow
M. den Nijs

Document Type

Article

Date of Original Version

1982

Department

Physics

Abstract

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.

Citation/Publisher Attribution

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

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.