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Exchange Coupling in a One-Dimensional Wigner Crystal

A. D. Klironomos·R. R. Ramazashvili·K. A. Matveev
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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.

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A. D. Klironomos, R. R. Ramazashvili, K. A. Matveev. 2005-04-05. Exchange Coupling in a One-Dimensional Wigner Crystal. https://doi.org/10.1103/physrevb.72.195343

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