Hyperelliptic curves for multichannel quantum wires and the multichannel Kondo problem

Journal Article · Fri Oct 01 00:00:00 EDT 1999 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.60.11432· OSTI ID:688020

Fendley, P ^[1]; Saleur, H ^[2]

---

1. Physics Department, University of Virginia, Charlottesville, Virginia 22901 (United States)
2. Department of Physics, University of Southern California, Los Angeles, California 90089-0484 (United States)

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. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 688020
• Journal Information: Physical Review, B: Condensed Matter, Vol. 60, Issue 16; Other Information: PBD: Oct 1999
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
KONDO EFFECT
WIRES
MAGNETIZATION
ELECTRONIC STRUCTURE
TUNNELING
QUANTUM ELECTRONICS