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Quantization of persistent currents in quantum dot at strong magnetic fields

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  • Avishai, Y.
  • Kohmoto, M.

Abstract

We investigate equilibrium electron currents and magnetization in an ideal two-dimensional disc of radius R placed in a strong magnetic field H. The most striking results emerge when the conditions for the existence of edge and bulk states are met, namely RaH = (h̵c/eH)12. When the Fermi energy is locked on a Landau level, the current as a function of electron density is quantized in units of (eh)(h̵ωc/2), where ωc is the cyclotron frequency. We argue that this effect survives against weak disorder. It is also shown that the persistent current has an approximately periodic dependence on 1/H.

Suggested Citation

  • Avishai, Y. & Kohmoto, M., 1993. "Quantization of persistent currents in quantum dot at strong magnetic fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 504-511.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:504-511
    DOI: 10.1016/0378-4371(93)90553-G
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