Landau Levels from the Bethe Ansatz Equations

Details Landau Levels from the Bethe Ansatz Equations Landau Levels from the Bethe Ansatz Equations

1999-08-18

arxiv.org/abs/cond-mat/9908254v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 eps figures, RevTeX

Scientific paper

10.1103/PhysRevB.61.4409

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.

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