Second Order Treatment of a Pseudo-Spin System. II: Application to the Transverse-Field Ising Model
Author(s) -
C. Buzano,
Mario Rasetti,
M. Vadacchino
Publication year - 1982
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.68.716
Subject(s) - physics , ising model , consistency (knowledge bases) , transverse plane , phase diagram , transverse field , square lattice ising model , field (mathematics) , boundary value problem , phase boundary , condensed matter physics , spin (aerodynamics) , boundary (topology) , statistical physics , mean field theory , phase (matter) , thermodynamics , quantum mechanics , mathematical analysis , geometry , mathematics , structural engineering , pure mathematics , engineering
The transverse:field Ising model is solved within the scheme of the generalized mean·field method earlier proposed by the authors. The uncompatibility between the self.consistency condition and the thermal equilibrium is corrected through the introduction of a correlated mean·field, realized by a virtual· field parameter. Numerical results are discussed in detail, from which the specific heat and the transverse·field/critical·temperature phase boundary diagram are derived
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