1998/09/18 by Paul Fendley, P. Fendley, H. Saleur +1 · 1 citation
Mathematics · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el #hep-th #math.QA
paper · pdf · doi:10.1103/physrevb.60.11432
published as Phys.Rev. B60 (1999) 11432 · 7 pages, 1 figure, revtex
arxiv created 1998/09/18 · openalex publication_date 1999/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the current in a multichannel quantum wire and the magnetization in the multichannel 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.