A new type of cluster theory in Ising models (I)
作者： T. Kaneyoshi
DOI: 10.1016/S0378-4371(99)00066-7
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摘要: Abstract A new type of cluster theory in Ising models is presented by the use differential operator technique and spin identity. In spin- 1 2 model, it gives same result as that Bethe–Peierls approximation, such for transition temperature. The formulation also applied to investigation phase diagrams both transverse model spin-1 system with a single-ion anisotropy.
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T. Kaneyoshi, Differential Operator Technique in the Ising Spin Systems Acta Physica Polonica A. ,vol. 83, pp. 703- 738 ,(1993) , 10.12693/APHYSPOLA.83.703
F. Zernike, The propagation of order in co-operative phenomena: Part I. The AB case Physica D: Nonlinear Phenomena. ,vol. 7, pp. 565- 585 ,(1940) , 10.1016/S0031-8914(40)90008-8
J. Samuel Smart, J. H. Van Vleck, Effective Field Theories of Magnetism ,(1966)
Y.Q. Ma, Y.G. Ma, Reentrant phase transition and tricritical points in a quantum transverse spin system with a random field Physics Letters A. ,vol. 173, pp. 373- 376 ,(1993) , 10.1016/0375-9601(93)90253-V
T. Kaneyoshi, J.W. Tucker, M. Jaščur, Differential operator technique for higher spin problems Physica A-statistical Mechanics and Its Applications. ,vol. 186, pp. 495- 512 ,(1992) , 10.1016/0378-4371(92)90212-9
T. Kaneyoshi, M. Jaščur, I. P. Fittipaldi, Transverse Ising model with arbitrary spin. Physical Review B. ,vol. 48, pp. 250- 255 ,(1993) , 10.1103/PHYSREVB.48.250
T Kaneyoshi, M Jascur, Ferrimagnetism in a disordered binary alloy Journal of Physics: Condensed Matter. ,vol. 5, pp. 3253- 3264 ,(1993) , 10.1088/0953-8984/5/19/021
A. Bobák, M. Jaščur, A New Type of Effective Field Theory for Ising Model with Spin −1/2 Physica Status Solidi B-basic Solid State Physics. ,vol. 135, ,(1986) , 10.1002/PSSB.2221350146
Yoshiaki Tanaka, Norikiyo Uryû, Ising Model with General Spin and Planar Rotator Model on the Bethe Lattice Journal of the Physical Society of Japan. ,vol. 50, pp. 1140- 1148 ,(1981) , 10.1143/JPSJ.50.1140
A. Elkouraychi, M. Saber, J.W. Tucker, On the theory of the transverse Ising model with arbitrary spin Physica A-statistical Mechanics and Its Applications. ,vol. 213, pp. 576- 586 ,(1995) , 10.1016/0378-4371(94)00240-T