Exchange Coupling in a One-Dimensional Wigner Crystal
arXiv:cond-mat/0504118 · doi:10.1103/PhysRevB.72.195343
Abstract
We consider a long quantum wire at low electron densities. In this strong interaction regime a Wigner crystal may form, in which electrons comprise an antiferromagnetic Heisenberg spin chain. The coupling constant J is exponentially small, as it originates from tunneling of two neighboring electrons through the segregating potential barrier. We study this exponential dependence, properly accounting for the many-body effects and the finite width of the wire.
4 pages, 3 figures
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