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Universality of quantum hall effect: Topological invariant and observable

Physical Review Letters, ISSN: 0031-9007, Vol: 57, Issue: 24, Page: 3093-3096
1986
  • 47
    Citations
  • 0
    Usage
  • 7
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    47
    • Citation Indexes
      47
  • Captures
    7

Article Description

We show a universality in the quantum Hall effect in that the flux-averaged Hall conductivity in any two- or three-dimensional system with or without disorder is given by a topological invariant quantized in units of e2h at T=0 for every energy level in a finite system. Relevance to the observable Hall conductivity over the whole energy spectrum is presented together with numerical results for lattice systems. © 1986 The American Physical Society.

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