Critical behaviors of transverse Ising ferromagnet with random bond and random longitudinal magnetic field

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Kple J., Albayrak E., Oke T. D., Hontinfinde F.

EUROPEAN PHYSICAL JOURNAL PLUS, cilt.137, ss.1-11, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 137
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1140/epjp/s13360-022-03610-w
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL PLUS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Sayfa Sayıları: ss.1-11
  • Erciyes Üniversitesi Adresli: Evet

Özet

The transverse Ising model with bimodal random bond dilution and trimodal random longitudinal magnetic field was

studied in terms of the effective-field theory (EFT) with correlations for a finite-cluster. The nearest-neighbor spins are assumed to

be interacting randomly either ferromagnetically with probability p or the interaction between them are turned off with probability

(1− p). It is also assumed that half of the spins are under the influence of longitudinal magnetic field with equal probability t/2 along

z-axis having the values of +H and −H while the other half of spins is free of H with probability 1 − t. The effects of changing

the probabilities p and t, and the magnitudes of transverse and longitudinal magnetic fields for the magnetization components under

temperature variations were examined in detail to obtain the possible phase diagrams of the model. It was obtained that the model

exhibits both second- and first-order phase transitions, in addition to the tricritical points and reentrant behaviors for the first- and

second-order phase transition temperature lines.