Semiclassical description of Heisenberg models via spin-coherent states

Details Semiclassical description of Heisenberg models via spin-coherent states Semiclassical description of Heisenberg models via spin-coherent states

1998-10-13

arxiv.org/abs/cond-mat/9810145v1

J. Phys.: Condens. Matter 10, 1091 (1998)

Physics

Condensed Matter

14 pages

Scientific paper

10.1088/0953-8984/10/5/016

We use spin-coherent states as a time-dependent variational ansatz for a semiclassical description of a large family of Heisenberg models. In addition to common approaches we also evaluate the square variance of the Hamiltonian in terms of coherent states. This quantity turns out to have a natural interpretation with respect to time-dependent solutions of the equations of motion and allows for an estimate of quantum fluctuations in a semiclassical regime. The general results are applied to solitons, instantons and vortices in several one- and two-dimensional models.

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