Persistent current in isolated mesoscopic rings

J. F. Weisz, R. Kishore, and F. V. Kusmartsev
Phys. Rev. B 49, 8126 – Published 15 March 1994
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Abstract

The persistent current in isolated mesoscopic rings is studied using the continuum and tight-binding models of independent electrons. The calculation is performed with disorder and also at finite temperature. In the absence of disorder and at zero temperature agreement is obtained with earlier results by Loss and Goldbart in that there is half-quantum flux periodicity for a large and odd number of electrons, but full-quantum periodicity for any even number of electrons in the ring. Strong disorder converts the period into full-quantum periodicity. Finite temperature reduces the magnitude of the current, but preserves the quantum flux periodicity at zero temperature. However, the sign of the current may change as disorder or temperature is increased. A generalization of the parity effect, previously discussed by Leggett, Loss, and Kusmartsev is described for the case where there are electrons with spin, influenced by finite temperature and disorder.

  • Received 29 September 1993

DOI:https://doi.org/10.1103/PhysRevB.49.8126

©1994 American Physical Society

Authors & Affiliations

J. F. Weisz

  • Instituto de Desarrollo Tecnológico para la Industria Química, Universidad Nacional del Litoral–Consejo Nacional de Investigaciones Científicas y Técnicas, 3000 Santa Fe-República Argentina

R. Kishore

  • Instituto Nacional de Pesquisas Espaciales, Caixa Postal 515, 12201-970 São José dos Campos, São Paulo, Brazil

F. V. Kusmartsev

  • Department of Theoretical Physics, University of Oulu, Linnanmaa, SF-90570 Oulu, Finland
  • Institute For Solid State Physics, University of Tokyo, Roppongi, Minato-ku Tokyo 106, Japan

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Vol. 49, Iss. 12 — 15 March 1994

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