Phase diagrams in an ultra-thin spin-1 transverse Ising film with bond or site dilution at surfaces

Abstract

The phase diagrams of two nanoscaled thin films with bond and site dilutions at the surfaces, described by the spin-1 transverse Ising model, are investigated by the use of an effective field theory with correlations. A number of characteristic phenomena have been found in them, which are heavily dependent on the ratios (r = J1/J and p = ΩS/Ω, where J is the exchange interaction in the inner layer, J1 is the exchange interaction between the surface and the next inner layer, ΩS is the transverse field at the surfaces and Ω is the transverse field in the inner layer). Some of them have exhibited very similar behaviors found in the two spin-1/2 nanoscaled thin films with bond and site dilutions at the surfaces.