Quantized Hall Conductance in a Two-Dimensional Periodic Potential

1982/08/09 by D. J. Thouless, Mahito Kohmoto, M. P. Nightingale +1 · 14 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Physics of Superconductivity and Magnetism #Topological Materials and Phenomena

paper · pdf · doi:10.1103/physrevlett.49.405

openalex publication_date 1982/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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 \fracU\ensuremathℏ\ensuremathω_c.

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