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Some Exact Results on the Ising Antiferromagnet with General Spin S on the Triangular Lattice
Author(s) -
Hajdukovć D.,
Vujičić B. U.
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.2221430232
Subject(s) - hexagonal lattice , antiferromagnetism , ising model , lattice (music) , condensed matter physics , ground state , physics , exact solutions in general relativity , mathematics , mathematical physics , quantum mechanics , acoustics
A triangular lattice is considered which consists of five chains, i.e. a lattice with N = 5 × L sites. In the thermodynamic limit ( L → ∞) and in the critical magnetic field, the exact ground‐state entropy for such a lattice is obtained as an explicit function of spin S . It is shown that this exact result for the lattice finite in one and infinite in the other dimension is an excellent approximation for the triangular lattice infinite in both dimensions.