Hysteretic behavior in an Ising model with crystal-field potential: A Bethe lattice approach

The low-temperature behavior of the hysteresis loop in the Ising model with crystal-field under uniform longitudinal magnetic field is studied by exact recursion relations on the Bethe lattice. The field dependences of the magnetization are examined in detail. The hysteresis curves are obtained for different temperatures (T): It is found that the hysteresis loops disappear in a certain temperature value. A number of characteristic behaviors for field variations are obtained especially for antiferromagnetic interaction.