A new expansion around mean field for the quantum Ising model

dc.creatorDe Pasquale, F.
dc.creatorGiampaolo, S. M.
dc.date2002-01-28
dc.date.accessioned2026-07-07T02:44:16Z
dc.date.available2026-07-07T02:44:16Z
dc.descriptionWe 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.
dc.description10 Pages + 2 Figs. Submitted to Prl
dc.identifierhttps://arxiv.org/abs/cond-mat/0201505
dc.identifierhttp://arxiv.org/abs/cond-mat/0201505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18847
dc.subjectStatistical Mechanics
dc.titleA new expansion around mean field for the quantum Ising model
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