S. Brazovskii, P. Monceau and N. Kirova
J. Phys. IV France 131 (2005) 217-220
Exchange coupling in quantum rings and wires in the Wigner-crystal limitM.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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