The (k(B)T(C)/zJ,k) Phase Diagram for the D/J=1 on the Four-Dimensional Blume-Emery-Griffiths (BEG) Model

Duran A., Kutlu B., Gunen A.

JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM, cilt.24, sa.1-2, ss.623-627, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 1-2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s10948-010-0957-8
  • Dergi Adı: JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.623-627
  • Anahtar Kelimeler: Spin-1 Ising model, Cellular automaton, Hypercubic lattice, Phase transition, Phase diagram, CREUTZ CELLULAR-AUTOMATON, SIZE-SCALING RELATIONS, SPIN-1 ISING-MODEL, SIMPLE CUBIC LATTICE, CAPEL MODEL, RENORMALIZATION-GROUP, TRICRITICAL BEHAVIOR, UNSTABLE SOLUTIONS, CRITICAL EXPONENTS, MAGNETIC-FIELD
  • Gazi Üniversitesi Adresli: Evet

Özet

The 4-d spin-1 Ising (BEG) model has been simulated using a cellular automaton (CA) cooling algorithm improved from the 3-d BEG model algorithm for the four-dimensional hypercubic lattices. The ground state diagram (k,d) of the 4-d BEG model has ferromagnetic (F), quadruple (Q) and staggered quadruple (SQ) ordering regions. The simulations have been made in the -3 <= k=K/J <= 1 interval through the d=1 line for L=18 lattice size. The (k (B) T (C)/zJ,k) phase diagram has been obtained through the d=1 phase line. The results show that the model has a bicritical point (BCP) as in d < 4 dimensions. The phase diagram has been separated to the three regions of the staggered quadruple (SQ), the ferromagnetic (F) and the paramagnetic (P) cases.