Spin exchange in quantum rings and wires in the Wigner-crystal limit
arXiv:cond-mat/0504502 · doi:10.1088/0953-8984/18/1/L02
Abstract
We present a controlled method for computing the exchange coupling in strongly correlated one-dimensional electron systems. It is based on the asymptotically exact relation between the exchange constant and the pair-correlation function of spinless electrons. Explicit results are obtained for thin quantum rings with realistic Coulomb interactions, by calculating this function via a many-body instanton approach.
7 pages, 2 figures. Changes in the text and figures to improve readability; added references