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Critical Behaviour of the Ising Model with a Transverse Field
Author(s) -
Wesselinowa J. M.
Publication year - 1985
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.2221300232
Subject(s) - ising model , critical exponent , transverse field , scaling , statistical physics , transverse plane , critical phenomena , physics , longitudinal field , condensed matter physics , scaling law , field (mathematics) , function (biology) , order (exchange) , mathematics , magnetic field , phase transition , quantum mechanics , geometry , pure mathematics , engineering , structural engineering , evolutionary biology , biology , finance , economics
A Green's function technique is developed to study the Ising model with a transverse field. The order parameter and the longitudinal susceptibility are determined. The critical exponents β and γ are numerical calculated for different dimensional lattices. Using the scaling laws, α, δ, η, and v are obtained too. The critical exponents are in very good agreement with other theoretical results and with the experimental data.
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