Quantized Hall Conductance in a Two-Dimensional Periodic Potential
D. J. ThoulessDepartment of Physics, University of Washington, Seattle, Washington 98195Mahito KohmotoDepartment of Physics, University of Washington, Seattle, Washington 98195M. P. NightingaleDepartment of Physics, University of Washington, Seattle, Washington 98195Marcel den NijsDepartment of Physics, University of Washington, Seattle, Washington 98195
1982en
ABI
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 $\frac{U}{\ensuremath{\hbar}{\ensuremath{\omega}}_{c}}$.
Identifiers
Citations and references
Cited by 20 references