Mesoscopic effects in the quantum Hall regime

R. N. Bhatt, X. I.N. Wan

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We report results of a study of (integer) quantum Hall transitions in a single or multiple Landau levels for non-interacting electrons in disordered two-dimensional systems, obtained by projecting a tight-binding Hamiltonian to the corresponding magnetic subbands. In finite-size systems, we find that mesoscopic effects often dominate, leading to apparent non-universal scaling behavior in higher Landau levels. This is because localization length, which grows exponentially with Landau level index, exceeds the system sizes amenable to the numerical study at present. When band mixing between multiple Landau levels is present, mesoscopic effects cause a crossover from a sequence of quantum Hall transitions for weak disorder to classical behavior for strong disorder. This behavior may be of relevance to experimentally observed transitions between quantum Hall states and the insulating phase at low magnetic fields.

Original languageEnglish (US)
Pages (from-to)271-283
Number of pages13
JournalPramana - Journal of Physics
Volume58
Issue number2
DOIs
StatePublished - Feb 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Keywords

  • Finite-size scaling
  • Mesoscopic effects
  • Quantum Hall transitions

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