Quantization of persistent currents in quantum dot at strong magnetic fields

Y. Avishai, M. Kohmoto

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 R{A figure is presented}aH = (h {combining short stroke overlay}c/eH) 1 2. When the Fermi energy is locked on a Landau level, the current as a function of electron density is quantized in units of ( e h)(h {combining short stroke overlay}ωc/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.

Original languageEnglish
Pages (from-to)504-511
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
StatePublished - 15 Nov 1993


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