Spin exchange in quantum rings and wires in the Wigner-crystal limit
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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
7 pages, 2 figures. Changes in the text and figures to improve readability; added references