Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-05-05
Eur. Phys. J. B 14, 293-300 (2000)
Physics
Condensed Matter
Statistical Mechanics
8 Pages, 2 Figures, submitted to EPJB
Scientific paper
10.1007/s100510050132
We propose a method for obtaining effective classical Hamiltonians \cal H for many-body quantum spin systems with large spins. This method uses the coherent-state representation of the partition function Z and the cumulant expansion in powers of 1/S. For the quantum Hamiltonian \hat H of a Heisenberg form, the 1/S corrections in \cal H have a non-Heisenberg many-spin form. The effective Hamiltonian \cal H can be treated by methods familiar for classical systems. The non-Heisenberg terms in \cal H may be responsible for such effects as spin-Peierls transition and uplifting of the classical degeneracy by quantum fluctuations.
Fulde Peter
Garanin Dmitry A.
Kladko Konstantin
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