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Ising Spin System of S = 1 on a Triangular Lattice with Three‐Site Four‐Spin Interaction
Author(s) -
Iwashita T.,
Uryǔ N.
Publication year - 1992
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.2221690120
Subject(s) - condensed matter physics , antiferromagnetism , ising model , ferromagnetism , exchange interaction , hexagonal lattice , spin (aerodynamics) , ground state , physics , magnetization , interaction energy , quantum mechanics , magnetic field , thermodynamics , molecule
For the Ising ferromagnet of S = 1 on the triangular lattice, the effects of the three‐site four‐spin interaction J ′( S i · S j ) ( S j · S k ) on the magnetization S z is studied by the use of the four‐spin model approximation. The ferromagnetic order established by the ferromagnetic bilinear exchange interaction J and by the three‐site four‐spin interaction J ′ are destroyed by the three‐site four‐spin interaction at the condition of J ′ = − J /16 and by the antiferromagnetic bilinear exchange interaction at the condition of J = −6 J ′, respectively. Furthermore, the ground state spin structures and the condition for an occurrence of the phase transition are determined from the behavior of the J ′‐dependence of the energy for a single spin in various spin structures.