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An Improved Molecular Field Approach to the Triangular Ising Antiferromagnet
Author(s) -
Doman B. G. S.
Publication year - 1979
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.2220930116
Subject(s) - antiferromagnetism , ising model , ferromagnetism , hexagonal lattice , condensed matter physics , physics , lattice (music) , k nearest neighbors algorithm , spin (aerodynamics) , phase transition , statistical physics , computer science , thermodynamics , artificial intelligence , acoustics
The phase transitions are examined of a triangular lattice with Ising model interactions which are antiferromagnetic for nearest neighbours and ferromagnetic for second neighbours. It is assumed that the ferromagnetic interaction is much smaller than the nearest‐neighbour interaction. The average spin is worked out on a given site for all possible spin configurations of the neighbours. This is then weighted according to the neighbours' probabilities of being up or down. Several possible states of the system are found. The stable state is selected by using the free energy.