A microscopic theory of the quantized Hall effects

Tadashi Toyoda*, Vidar Gudmundsson, Yasushi Takahashi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

A microscopic theory of the normal quantized Hall effect based on the canonical equation of motion for the current operators is presented. The obtained formula gives the Hall resistance as a function of the gate voltage and shows good agreement with the MOSFET experiment by von Klitzing et al. The formula also gives the temperature dependence quantitatively and shows explicitly how the plateaus disappear at higher temperatures.

Original languageEnglish
Pages (from-to)164-178
Number of pages15
JournalPhysica A: Statistical Mechanics and its Applications
Volume132
Issue number1
DOIs
Publication statusPublished - Aug 1985

Bibliographical note

Funding Information:
This work was supported in part by a grant from the Natural Sciences and Engineering Research Council of Canada. We would like to thank Bob Teshima for his computing help.

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