Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
Statistical Mechanics
2009-10-31 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Algebra
Abstract
We study the current in a multi-channel quantum wire and the magnetization in the multi-channel Kondo problem. We show that at zero temperature they can be written simply in terms of contour integrals over a (two-dimensional) hyperelliptic curve. This allows one to easily demonstrate the existence of weak-coupling to strong-coupling dualities. In the Kondo problem, the curve is the same for under- and over-screened cases; the only change is in the contour.
Keywords
Cite
@article{arxiv.cond-mat/9809259,
title = {Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem},
author = {P. Fendley and H. Saleur},
journal= {arXiv preprint arXiv:cond-mat/9809259},
year = {2009}
}
Comments
7 pages, 1 figure, revtex