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Cluster Identities for the Ising Model as a Basis for Simple Effective Field Approximations Discerning between Various Lattices with the Same Coordination Number
Author(s) -
Tomczak P.,
Sarmento E. F.,
Siqueira A. F.,
Ferchmin A. R.
Publication year - 1987
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.2221420224
Subject(s) - ising model , spins , ising spin , spin (aerodynamics) , basis (linear algebra) , cluster (spacecraft) , simple (philosophy) , coordination number , condensed matter physics , dimension (graph theory) , field (mathematics) , statistical physics , physics , curie temperature , identity (music) , mathematics , quantum mechanics , computer science , ferromagnetism , combinatorics , pure mathematics , thermodynamics , geometry , epistemology , ion , philosophy , acoustics , programming language
Identities are proposed for clusters of N interacting Ising spins. For a single spin they reduce to Callen identity, for a spin pair to that of Bobák and Jaščur. It is shown that effective field approximations for spin correlations lead to different Curie temperatures for lattices of the same coordination number but different dimension.