Arithmetic of the integer quantum Hall effect

1998/04/11 by Vipin Srivastava, Srivastava, Vipin
Chemistry · Computer Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9804125

12 pages, latex, 2 figures

arxiv created 1998/04/11 · openalex publication_date 1998/04/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

text of abstract (Integer quantum Hall effect (IQHE) has been analysed considering the degeneracies of localized and extended states separately. Occupied localized and extended states are counted and their variation is studied as a function of magnetic field. The number of current carrying electrons is found to have a saw-tooth variation with magnetic field. The analysis attempts to answer certain basic questions besides providing a simple but complete understanding of IQHE.)

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