The dilute spin-I Ising model with crystal-field interactions
作者： N Benayad , A Benyoussef , N Boccara
DOI: 10.1088/0022-3719/18/9/023
关键词:
摘要: 2D spin-1 Ising models with nearest-neighbour and crystal-field interactions exhibit tricritical behaviour. A new method that applies to a wide class of random systems is used study the influence site bond dilution on this The authors have calculated temperature-crystal-field-concentration phase diagrams determined, in particular, zero-temperature critical field temperature. results are agreement those obtained recently for by real-space renormalisation-group technique. appears more tractable.
harvard.edu
sci-hub.se 参考文章(10)
A. N. Berker, Michael Wortis, Blume-Emery-Griffiths-Potts model in two dimensions: Phase diagram and critical properties from a position-space renormalization group Physical Review B. ,vol. 14, pp. 4946- 4963 ,(1976) , 10.1103/PHYSREVB.14.4946
N. Boccara, Dilute Ising models: A simple theory Physics Letters A. ,vol. 94, pp. 185- 187 ,(1983) , 10.1016/0375-9601(83)90379-1
A. Benyoussef, N. Boccara, Phase diagrams of random Ising models : simple and systematic successive approximations Journal De Physique. ,vol. 44, pp. 1143- 1147 ,(1983) , 10.1051/JPHYS:0198300440100114300
J Adler, A Aharony, J Oitmaa, Renormalisation group studies of the Blume-Emery-Griffiths model in two dimensions Journal of Physics A. ,vol. 11, pp. 963- 974 ,(1978) , 10.1088/0305-4470/11/5/026
Miron Kaufman, Robert B. Griffiths, Julia M. Yeomans, Michael E. Fisher, Three-component model and tricritical points: A renormalization-group study. Two dimensions Physical Review B. ,vol. 23, pp. 3448- 3459 ,(1981) , 10.1103/PHYSREVB.23.3448
C. A. Hurst, Carl Garland, H. S. Green, Order-disorder phenomena ,(1964)
H Dickinson, J Yeomans, Tricritical behaviour in a bond-dilute spin model Journal of Physics C: Solid State Physics. ,vol. 16, ,(1983) , 10.1088/0022-3719/16/12/002
R B Stinchcombe, B P Watson, Renormalization group approach for percolation conductivity Journal of Physics C: Solid State Physics. ,vol. 9, pp. 3221- 3247 ,(1976) , 10.1088/0022-3719/9/17/017
A Benyoussef, N Boccara, Existence of spin-glass phases for three- and four-dimensional Ising and Heisenberg models Journal of Physics C: Solid State Physics. ,vol. 16, pp. 1901- 1918 ,(1983) , 10.1088/0022-3719/16/10/020
M. Blume, V. J. Emery, Robert B. Griffiths, Ising Model for the λ Transition and Phase Separation in He 3 - He 4 Mixtures Physical Review A. ,vol. 4, pp. 1071- 1077 ,(1971) , 10.1103/PHYSREVA.4.1071