Phys. Rev. B 72, 195343 (2005) [5 pages]Exchange coupling in a one-dimensional Wigner crystalReceived 5 April 2005; revised 5 October 2005; published 29 November 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.72.195343
DOI:
10.1103/PhysRevB.72.195343
PACS:
73.21.Hb, 71.70.Gm, 75.10.Pq, 75.30.Et
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