Effect of a crystal field on phase transitions in a spin-1 transverse Ising model

Abstract

Within an effective-field approximation, general expressions for evaluating the second-order phase-transition line and tricritical point of the spin-1 transverse Ising model with the presence of a crystal field are obtained with the Honmura-Kaneyoshi differential-operator technique. The phase diagrams and the behavior of the tricritical point are investigated numerically for the honeycomb lattice.