Localization, wave-function topology, and the integer quantized Hall effect

Daniel P. Arovas; R. N. Bhatt; F. D. M. Haldane; P. B. Littlewood; R. Rammal

doi:10.1103/physrevlett.60.619

Abstract

In a magnetic field, a wave function in a two-dimensional system is uniquely specified by the position of its nodes. We show that for high fields and a weak random potential, motion of the zeros of the wave function under smooth changes of the boundary conditions can be used to characterize the behavior of the one-electron states and distinguish between localized and extended states.

Keywords

PhysicsWave functionFunction (biology)Topology (electrical circuits)Position (finance)Integer (computer science)Magnetic fieldBoundary (topology)Weak localizationQuantum mechanicsMathematical analysisMathematicsMagnetoresistanceComputer science

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Publication Info

Year: 1988
Type: article
Volume: 60
Issue: 7
Pages: 619-622
Citations: 89
Access: Closed

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APA Style

                            
                                
                                    Daniel P. Arovas, 
                                
                                    R. N. Bhatt, 
                                
                                    F. D. M. Haldane
                                
                                et al.
                            
                            (1988). 
                            Localization, wave-function topology, and the integer quantized Hall effect. 
                            Physical Review Letters
                            , 60
                            (7)
                            , 619-622.
                            https://doi.org/10.1103/physrevlett.60.619
                        

Identifiers

DOI: 10.1103/physrevlett.60.619
PMID: 10038599

Data Quality

Data completeness: 77%