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Effective Hamiltonian for the Two‐Dimensional Arbitrary Spin Ising Model
Author(s) -
Sznajd J.
Publication year - 1984
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.2221240111
Subject(s) - ising model , square lattice ising model , hamiltonian (control theory) , spin (aerodynamics) , ising spin , physics , statistical physics , spin model , condensed matter physics , mathematical physics , mathematics , thermodynamics , mathematical optimization
A method of the reduction of the generalized arbitrary spin two‐dimensional Ising model to the spin‐half Ising model is presented. The method is demonstrated in detail by calculating the effective interaction constants to the third order in a cumulant expansion for the triangular spin‐one Ising model (the Blume‐Emery‐Griffiths model).