Exchange Coupling in a One-Dimensional Wigner Crystal
Mesoscale and Nanoscale Physics
2009-11-11 v1
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.
Cite
@article{arxiv.cond-mat/0504118,
title = {Exchange Coupling in a One-Dimensional Wigner Crystal},
author = {A. D. Klironomos and R. R. Ramazashvili and K. A. Matveev},
journal= {arXiv preprint arXiv:cond-mat/0504118},
year = {2009}
}
Comments
4 pages, 3 figures