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Critical phenomena in ferromagnetic spin systems on lattices

Jean Zinn‐Justin, C.P. Korthals Altes, Eduardo De Rafael B, R. Stora

Published Jan 1, 1974• 0 citations
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A transverse ferromagnetic spin-1 system with a random single-ion anisotropy is considered in the framework of an Ising model.The effective field theory and decoupling approximation are applied to the derivation of the expressions of magnetizations for a honeycomb lattice.Special emphasis is placed on the critical properties of the system.New critical properties are obtained in a certain range of single-ion anisotropy,random concentration,and transverse field.We discuss in detail the influence of the random concentration and transverse field on the critical properties.Some phenomena have not been discovered in previous reports.Detailed descriptions of the phase transition and magnetization curves are presented.
A transverse ferromagnetic spin-1 system with a random single-ion anisotropy is considered in the framework of an Ising model. The effective field theory and decoupling approximation are applied to the derivation of the expressions of magnetizations for a honeycomb lattice. Special emphasis is placed on the critical properties of the system. New critical properties are obtained in a certain range of single-ion anisotropy, random concentration and transverse field. We discuss in detail the influence of the random concentration and transverse field on the critical properties. Some phenomena have not been discovered in previous reports. Detailed descriptions of the phase transition and magnetization curves are presented.
The Ising ferromagnet, consisting of magnetic spins, is the simplest system showing phase transitions and critical phenomena at finite temperatures. The Ising ferromagnet has played a central role in our understanding of phase transitions and critical phenomena. Also, the Ising ferromagnet explains the gas-liquid phase transitions accurately. In particular, the Ising ferromagnet in a nonzero magnetic field has been one of the most intriguing and outstanding unsolved problems. We study analytically the partition function zeros in the complex magnetic-field plane and the Yang-Lee edge singularity of the infinite-range Ising ferromagnet in an external magnetic field. In addition, we compare the Yang-Lee edge singularity of the infinite-range Ising ferromagnet with that of the square-lattice Ising ferromagnet in an external magnetic field.