Interface in Potts ferromagnet: phase diagram and critical exponents

作者: L R da Silva , U M S Costa , C Tsallis

DOI: 10.1088/0022-3719/18/33/010

关键词:

摘要: Within a real-space renormalisation group framework, the authors treat q-state Potts ferromagnet in simple cubic lattice consisting of two different semi-infinite bulks (respectively characterised by coupling constants J1 and J2) separated (1,0,0) interface (characterised Js). The use rather sophisticated two-terminal cluster allows quite reliable discussion phase diagram its universality classes. Four physically phases are obtained, namely paramagnetic double-bulk, single-bulk surface ferromagnetic ones. critical contains multicritical line (associated with not=J2) which turn special point associated J1=J2.

参考文章(23)
Joel Louis Lebowitz, Cyril Domb, Melville S. Green, Phase Transitions and Critical Phenomena ,(1972)
F. Y. Wu, The Potts model Reviews of Modern Physics. ,vol. 54, pp. 235- 268 ,(1982) , 10.1103/REVMODPHYS.54.235
S. F. Alvarado, M. Campagna, F. Ciccacci, H. Hopster, Experimental study of the magnetic critical behavior of the Ni(001) and Ni(110) surfaces (invited) Journal of Applied Physics. ,vol. 53, pp. 7920- 7922 ,(1982) , 10.1063/1.330274
K. Binder, P. C. Hohenberg, Surface effects on magnetic phase transitions Physical Review B. ,vol. 9, pp. 2194- 2214 ,(1974) , 10.1103/PHYSREVB.9.2194
Theodore W. Burkhardt, Erich Eisenriegler, Renormalization-group approach to the Ising model with a free surface Physical Review B. ,vol. 16, pp. 3213- 3222 ,(1977) , 10.1103/PHYSREVB.16.3213
A. R. Ruffa, Z -1 -expansion calculation of two-particle correlations in atoms Physical Review A. ,vol. 13, pp. 27- 42 ,(1976) , 10.1103/PHYSREVA.13.27
P. M. Lam, Z. Q. Zhang, RENORMALIZATION-GROUP APPROACH TO THE SURFACE AND DEFECT CRITICAL-BEHAVIOR IN THE POTTS-MODEL European Physical Journal B. ,vol. 52, pp. 315- 320 ,(1983) , 10.1007/BF01304089
C Tsallis, E F Sarmento, Surface effects in the Potts ferromagnet Journal of Physics C: Solid State Physics. ,vol. 18, pp. 2777- 2784 ,(1985) , 10.1088/0022-3719/18/13/023