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Physica A Statistical Mechanics and its Applications

Phase transition of the mixed spin system with a random crystal field

T. Kaneyoshi

Published Dec 1, 1988• 62 citations
Publisher
DOI
10.1016/0378-4371(88)90240-3

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Thermodynamic properties of random transverse mixed Ising spin system with cryst al field

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Making use of the effective field theory (EFT) and a cutting approximation, in the framework of Ising model, we investigate the thermodynamic properties of a random transverse mixed spin system with a crystal field. Special emphasis is placed on the influence of crystal field, transverse field and random concentration on phase transitions of the system. Our studies find that a smaller crystal field cannot change the percolation threshold of the critical transverse field in the presence of a random transverse field, and that the reentrant phenomena shall appear in the range of random concentration concerned when the transverse field takes a larger value, where as the reentrant phenomena do not occur and when the transverse field takes a smaller value. These new thermodynamic properties have not been reported in previous works so far as we know. We give a series of pha se diagrams and discuss them in detail.

Acta Physica Sinica•Jan 1, 2003•1 citation
The magnetization and phase transition of mixed spin-1/2 and spin-1 Blume-Capel model on a cylindrical Ising nanotube with bimodal random crystal fields were investigated by using the effective field theory. Employing numerical calculation, the phase diagrams and the magnetization which depends on the temperature and the parameters of random crystal fields were obtained. The results show that：(1) Changing the probability and the ratio of the crystal fields, bimodal random crystal fields may describe different doped atoms acting on spins. (2) The critical points do exist for certain values of the probability, the negative or positive crystal field and the ratio of the crystal fields. (3) The system shows several phase transition temperatures, first-order and second-order phase transitions.
Making use of the effective field theory (EFT) and a cutting approximation, in the framework of Ising model, we investigate the thermodynamic properties of a random transverse mixed spin system with a crystal field. Special emphasis is placed on the influence of crystal field, transverse field and random concentration on phase transitions of the system. Our studies find that a smaller crystal field cannot change the percolation threshold of the critical transverse field in the presence of a random transverse field, and that the reentrant phenomena shall appear in the range of random concentration concerned when the transverse field takes a larger value, where as the reentrant phenomena do not occur and when the transverse field takes a smaller value. These new thermodynamic properties have not been reported in previous works so far as we know. We give a series of pha se diagrams and discuss them in detail.