Exchange coupling in a one-dimensional Wigner crystal

A. D. Klironomos, R. R. Ramazashvili, K. A. Matveev
2005 Physical Review B  
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.
doi:10.1103/physrevb.72.195343 fatcat:ct6mv5k2szgc7cq7t4hqgaozwq