S. Brazovskii, P. Monceau and N. Kirova
J. Phys. IV France 131 (2005) 233-234
Exchange coupling in a one-dimensional Wigner crystalA.D. Klironomos1, R.R. Ramazashvili1, 2 and K.A. Matveev1
1 Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
2 Present address: Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany
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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