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29 March 2024
 
  » arxiv » cond-mat/9809259

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Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
P. Fendley ; H. Saleur ;
Date 19 Sep 1998
Journal Phys.Rev. B60 (1999) 11432
Subject Statistical Mechanics; Strongly Correlated Electrons; Quantum Algebra | cond-mat.stat-mech cond-mat.str-el hep-th math.QA
AbstractWe 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.
Source arXiv, cond-mat/9809259
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