Quantized Hall Conductance in a Two-Dimensional Periodic Potential

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 $\frac{U}{\ensuremath{\hbar}{\ensuremath{\omega}}_{c}}$.

Keywords

ConductanceCondensed matter physicsPhysicsKubo formulaQuantum Hall effectQuantization (signal processing)Fermi gasFermi energyConductance quantumMagnetic fieldOmegaHall conductivityQuantum spin Hall effectHall effectQuantum mechanicsElectronThermal Hall effectPeriodic potentialConductivityQuantum point contactMathematicsQuantum well

Affiliated Institutions

University of Washington US

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Publication Info

Year: 1982
Type: article
Volume: 49
Issue: 6
Pages: 405-408
Citations: 6547
Access: Closed

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APA Style

                            
                                
                                    D. J. Thouless, 
                                
                                    Mahito Kohmoto, 
                                
                                    M. P. Nightingale
                                
                                et al.
                            
                            (1982). 
                            Quantized Hall Conductance in a Two-Dimensional Periodic Potential. 
                            Physical Review Letters
                            , 49
                            (6)
                            , 405-408.
                            https://doi.org/10.1103/physrevlett.49.405
                        

Identifiers

DOI: 10.1103/physrevlett.49.405