The Crystal Field Effects in the Spin-1 ising Model with FM/AFM Interactions on a Two-layer Bethe Lattice

다국어 초록 (Multilingual Abstract)

The exact recursion equations in a pair-wise approach are used to study the phase transitions
on a two-layer Bethe lattice with crystal field (D) and external magnetic field (H) acting on the
layers. The ferromagnetic (FM) and the antiferromagnetic (AFM) interactions for the spins of the
upper and the lower layers, respectively, and either a FM- or an AFM-type interaction between
the adjacent spins of the layers are assumed. The ground state (GS) phase diagrams of the model
are calculated on the (J2/J1, J3/qJ1) planes for given system parameters, and thirteen distinct
GS configurations are obtained. With the GS phase diagrams, the temperature-dependent phase
diagrams of the model are obtained by studying the thermal behaviors of the order parameters and
the response functions. The model was found to exhibit first- and second-order phase transitions
for the coordination numbers q = 3, 4, and 6; hence, tricritical points are also observed. A reentrant
behavior is also found whenever the model displays two N´eel temperatures.

다국어 초록 (Multilingual Abstract)

The exact recursion equations in a pair-wise approach are used to study the phase transitions
on a two-layer Bethe lattice with crystal field (D) and external magnetic field (H) acting on the
layers. The ferromagnetic (FM) and the antiferromagnetic (AFM) interactions for the spins of the
upper and the lower layers, respectively, and either a FM- or an AFM-type interaction between
the adjacent spins of the layers are assumed. The ground state (GS) phase diagrams of the model
are calculated on the (J2/J1, J3/qJ1) planes for given system parameters, and thirteen distinct
GS configurations are obtained. With the GS phase diagrams, the temperature-dependent phase
diagrams of the model are obtained by studying the thermal behaviors of the order parameters and
the response functions. The model was found to exhibit first- and second-order phase transitions
for the coordination numbers q = 3, 4, and 6; hence, tricritical points are also observed. A reentrant
behavior is also found whenever the model displays two N´eel temperatures.

참고문헌 (Reference)

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