The antiferromagnetic Ising model for a bilayer Bethe lattice

ALBAYRAK E., Yigit A., Akkaya S.

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, cilt.320, sa.18, ss.2241-2248, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 320 Sayı: 18
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.jmmm.2008.04.114
  • Dergi Adı: JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2241-2248
  • Anahtar Kelimeler: Bethe lattice, ground state, antiferromagnetic, thin films, bilayer, EXACT PHASE-DIAGRAMS, CRITICAL-BEHAVIOR, THIN-FILMS, LAYERING TRANSITIONS, MAGNETIC-PROPERTIES, EFFECTIVE-FIELD, MONTE-CARLO, TRANSVERSE FIELD, SURFACE FIELD, MULTILAYERS
  • Erciyes Üniversitesi Adresli: Evet

Özet

The totally antiferromagnetic Ising model is analyzed on a bilayer Bethe lattice in detail by studying the order-parameters, response functions, i.e. susceptibility and specific heat, and free energy by using the recursion relations in a pairwise approach. The ground state phase diagrams of the model are also obtained on the (J(2)/vertical bar J(1)vertical bar,J(3)/q vertical bar J(1)vertical bar) plane for given values of H/q vertical bar J(1)vertical bar and on the (H/q vertical bar J(1)vertical bar,J(3)/q vertical bar J(1)vertical bar) plane for given J(2)/vertical bar J(1)vertical bar. As a result, we have obtained the temperature-dependent phase diagrams for various values of the coordination number q on the (J(3)/vertical bar J(1)vertical bar,kT/vertical bar J(1)vertical bar) and (H/vertical bar J(1)vertical bar,kT/vertical bar J(1)vertical bar) planes for given values of the rest of the system parameters. (C) 2008 Elsevier B.V. All rights reserved.