Bohr-Sommerfeld quantization of spin Hamiltonians

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Revtex 4, no figures, 1 table

Scientific paper

10.1103/PhysRevLett.92.010401

The Bohr-Sommerfeld rule for a spin system is obtained, including the first
quantum corrections. The rule applies to both integer and half-integer spin,
and respects Kramers degeneracy for time-reversal invariant systems. It is
tested for various models, in particular the Lipkin-Meshkov-Glick model, and
found to agree very well with exact results.

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