Electronic Resource
Springer
The European physical journal
14 (2000), S. 293-300
ISSN:
1434-6036
Keywords:
PACS. 05.30.-d Quantum statistical mechanics - 75.10.Hk Classical spin models - 75.10.Jm Quantized spin models
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: We extend and apply a previously developed method for a semiclassical treatment of a system with large spin S. A multisite Heisenberg Hamiltonian is transformed into an effective classical Hamilton function which can be treated by standard methods for classical systems. Quantum effects enter in form of multispin interactions in the Hamilton function. The latter is written in the form of an expansion in powers of J/(TS), where J is the coupling constant. Main ingredients of our method are spin coherent states and cumulants. Rules and diagrams are derived for computing cumulants of groups of operators entering the Hamiltonian. The theory is illustrated by calculating the quantum corrections to the free energy of a Heisenberg chain which were previously computed by a Wigner-Kirkwood expansion.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100510050132
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