Volume 46, Number 4, May II 1999
|Page(s)||425 - 430|
|Published online||01 September 2002|
Cumulant expansion for systems with large spins
Condensed Matter Physics Group and Center for Nonlinear Studies
Theoretical Division, Los Alamos National Laboratory
MS-B258, Los Alamos, New Mexico 87545, USA
2 Max-Planck-Institut für Physik komplexer Systeme Nöthnitzer Str. 38, D-01187 Dresden, Germany
Accepted: 12 March 1999
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 . The expansion of 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.
PACS: 05.30.-d – Quantum statistical mechanics / 75.10.Jm – Quantized spin models / 75.10.Hk – Classical spin models
© EDP Sciences, 1999
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