Spin-1 Blume—Capel model with longitudinal random crystal and transverse magnetic fields: A mean-field approach

Abstract

The spin-1 Blume-Capel model with transverse Ω and longitudinal external magnetic fields h, in addition to a longitudinal random crystal field D, is studied in the mean-field approximation. It is assumed that the crystal field is either turned on with probability p or turned off with probability 1 − p on the sites of a square lattice. Phase diagrams are then calculated on the reduced temperature crystal field planes for given values of γ = Ω /J and p at zero h. Thus, the effect of changing γ and p are illustrated on the phase diagrams in great detail and interesting results are observed.

Modified transverse Ising model for the dielectric properties of SrTiO3 films and interfaces

“…(3) This is equivalent to the Blume-Capel model in a transverse magnetic field [47]. The third term introduces an anisotropic pseudospin energy.…”