{ "id": "cond-mat/0201505", "version": "v1", "published": "2002-01-28T15:09:20.000Z", "updated": "2002-01-28T15:09:20.000Z", "title": "A new expansion around mean field for the quantum Ising model", "authors": [ "F. De Pasquale", "S. M. Giampaolo" ], "comment": "10 Pages + 2 Figs. Submitted to Prl", "categories": [ "cond-mat.stat-mech" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2002-01-28T15:09:20.000Z" } ], "analyses": { "keywords": [ "quantum ising model", "mean field", "local spin state", "high temperature expansion", "first order approximation" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002cond.mat..1505D" } } }