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Quantum Hall effect in a self-similar system

Hideo Aoki
Phys. Rev. B 42, 6869(R) – Published 1 October 1990
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Abstract

Hall conductivity is calculated for a self-similar system (Sierpińsky gasket) in magnetic fields to probe the transport properties specific to quasicrystalline systems. We have found anomalously large fluctuations in the Hall conductivity arising from a hierarchy of interference of wave functions.

  • Received 11 April 1990

DOI:https://doi.org/10.1103/PhysRevB.42.6869

©1990 American Physical Society

Authors & Affiliations

Hideo Aoki

  • Department of Physics, University of Tokyo, Hongo, Tokyo 113, Japan

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Vol. 42, Iss. 10 — 1 October 1990

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