Landau Levels from the Bethe Ansatz Equations

Abstract

The Bethe ansatz (BA) equations for the two-dimensional Bloch electrons in a uniform magnetic field are treated in the weak field limit. We have calculated energies near the lower boundary of the energy spectrum up to the first nontrivial order. It corresponds to calculating a finite size correction for the excitation energies of the BA solvable lattice models and gives the Landau levels in the present problem.

4 pages, 4 eps figures, RevTeX

References in corpus (1)

• On the singular spectrum of the Almost Mathieu operator. Arithmetics and Cantor spectra of integrable models

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