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A Study of the Transverse Ising Model
Author(s) -
Zhong JiaLin,
Yang ChuanZhang,
Jiang XueFan
Publication year - 1991
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221670232
Subject(s) - ising model , transverse field , discretization , transverse plane , path integral formulation , square lattice ising model , physics , spin (aerodynamics) , quantum , statistical physics , mathematics , quantum mechanics , mathematical analysis , thermodynamics , structural engineering , engineering
A new method which combines the discretized path‐integral with variational approximation is proposed and used to derive the free energy of the transverse Ising model in a quantum spin system. The transition temperature dependence of both, the transverse field and the coordination number is obtained analytically. The numerical results are compared with those of other methods.