A new expansion around mean field for the quantum Ising model

Details A new expansion around mean field for the quantum Ising model A new expansion around mean field for the quantum Ising model

2002-01-28

arxiv.org/abs/cond-mat/0201505v1

Physics

Condensed Matter

Statistical Mechanics

10 Pages + 2 Figs. Submitted to Prl

Scientific paper

We show that an high temperature expansion at fixed order parameter can be derived for the quantum Ising model. The basic point is to consider a statistical generating functional associated to the local spin state. The probability at thermal equilibrium of this state reflects directly the occurrence of a spontaneous symmetry breaking. It is possible to recover the expansion around the mean field in the system dimensionality if the ``direction'' in the Hilbert space of local spin states is suitably chosen. Results for the free energy at the critical temperature, as a function of the transverse field, in first order approximation in the inverse system dimensionality are compared with those of the standard approach.

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