J. Phys. I France
Volume 6, Numéro 1, January 1996
Page(s) 1 - 4
DOI: 10.1051/jp1:1996128
J. Phys. I France 6 (1996) 1-4

Persistent Current of Interacting Electrons: a Simple Hartree-Fock Picture

G. Montambaux

Laboratoire de Physique des Solides associé au CNRS, Université Paris-Sud, 91405 Orsay, France

(Received 20 September 1995, accepted 23 October 1995)

The average persistent current $\langle I \rangle$ of diffusive electrons in the Hartree-Fock approximation is derived in a simple non-diagrammatic picture. The Fourier expansion directly reflects the winding number decomposition of the diffusive motion around the ring. One recovers the results of Ambegaokar and Eckern, and Schmid. Moreover one finds an expression for $\langle I \rangle$ which is valid beyond the diffusive regime.

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