Quantum duality and Bethe-ansatz for the Hofstadter problem on hexagonal lattice
Condensed Matter
2009-10-28 v2
Abstract
The Hofstadter problem is studied on hexagonal lattice. We first establish a relation between the spectra for the hexagonal lattice and for its dual he triangular lattice. Following the idea of Faddeev and Kashaev, we then obtain the Bethe-ansatz equations for this system.
Cite
@article{arxiv.cond-mat/9509143,
title = {Quantum duality and Bethe-ansatz for the Hofstadter problem on hexagonal lattice},
author = {C. A. Piguet and D. F. Wang and C. Gruber},
journal= {arXiv preprint arXiv:cond-mat/9509143},
year = {2009}
}
Comments
8 pages, latex, revised version for Phys. Lett. A