Quantum duality and Bethe-ansatz for the Hofstadter problem on hexagonal lattice

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.

8 pages, latex, revised version for Phys. Lett. A

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