The Random J-Model with Biquadratic Interaction

Yigit A., ALBAYRAK E.

JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM, cilt.29, sa.10, ss.2535-2541, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 10
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s10948-016-3567-2
  • Dergi Adı: JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2535-2541
  • Anahtar Kelimeler: Exchange interaction, Staggered quadrupolar, Phase transition, Reentrance, EMERY-GRIFFITHS MODEL, STAGGERED QUADRUPOLAR PHASE, SPIN-1 ISING-MODEL, MONTE-CARLO, EXCHANGE INTERACTION, BETHE LATTICE, DIAGRAMS, ANISOTROPY, FIELD, BOND
  • Erciyes Üniversitesi Adresli: Evet

Özet

The spin-1 model is studied on the Bethe lattice by including the bilinear J and biquadratic K exchange interactions into the Hamiltonian. The effects of J is randomized by using a bimodal random distribution with an adjustable parameter a which allows to study the cases of +/- J-model and bond-dilution. The thermal variations of the order-parameters are studied to obtain the possible phase diagrams of the model. It is found that second-order phase transitions lines separate the ordered-phases, ferromagnetic, or antiferromagnetic, from the disordered one, i.e., the paramagnetic phase. The staggered quadrupolar phase lines are also found and only seen for higher negative K values for coordination number q = 4 and 6, only. The reentrant behavior is also found for some of the phase transitions lines.