J. Phys. IV France
Volume 131, December 2005
Page(s) 217 - 220
Publié en ligne 18 janvier 2006
International Workshop on Electronic Crystals
S. Brazovskii, P. Monceau and N. Kirova
J. Phys. IV France 131 (2005) 217-220

DOI: 10.1051/jp4:2005131053

Exchange coupling in quantum rings and wires in the Wigner-crystal limit

M.M. Fogler and E. Pivovarov

University of California San Diego, Department of Physics, 9500 Gilman Drive, La Jolla, CA 92009, USA

We present a controlled method for computing the exchange coupling in strongly correlated one-dimensional electron systems. The asymptotically exact relation between the exchange constant and the pair-correlation function of spinless electrons is derived. Explicit results are obtained for thin quantum rings with realistic Coulomb interactions, by calculating this function via a many-body instanton approach.

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