Cumulant expansion for systems with large spins

Details Cumulant expansion for systems with large spins Cumulant expansion for systems with large spins

1998-11-17

arxiv.org/abs/cond-mat/9811254v3

Europhys. Lett. 46, 425-430 (1999)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures. Final published version

Scientific paper

10.1209/epl/i1999-00104-y

A method is proposed for obtaining a systematic expansion of thermodynamic functions of spin systems with large spin S in powers of 1/S. It uses the cumulant technique and a coherent-state representation of the partition function Z. The expansion of Z in terms of cumulants yields an effective classical Hamiltonian with temperature-dependent quantum corrections. For the Heisenberg quantum Hamiltonian, they have a non-Heisenberg form. The effective Hamiltonian can be solved by methods familiar for classical systems.

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