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February 15, 1982Physical review. B, Condensed matter

Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential

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Authors

BHBertrand I. HalperinFlorida State University

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Implication

Randomized trial examines edge states influencing quantized Hall conductance in two-dimensional systems, suggesting significant findings for disordered potentials.

Key Points

  • This research aims to explore the behavior of current-carrying edge states in the context of quantized Hall conductance under disorder.
  • Investigated quasi-one-dimensional states localized near sample boundaries in strong magnetic fields
  • Analyzed the role of edge states in quantized Hall conductance using Laughlin's approach
  • Examined the existence of extended states in weakly disordered two-dimensional environments
  • Edge states remain extended and can carry current even with moderate disorder
  • Quantized Hall conductance is influenced by the presence of these edge states
  • Found that weak disorder does not completely localize the extended states in the system

Cite This Study

Bertrand I. Halperin (1982) studied this question.

synapsesocial.com/papers/6a0fefeb4fb650da4ffeb24ahttps://doi.org/10.1103/physrevb.25.2185
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