Layering sublimation transitions of the spin-1 Blume–Emery–Griffiths model in a transverse field

The effect of the transverse field Ω on bulk melting and layering sublimation transitions of a spin-1 Blume–Emery–Griffiths (BEG) model is studied using the mean field theory. It is found that there exists a critical value of the transverse field Ωl above which a sequence of layering sublimation occurs before melting bulk transition. Ωl depends on the value of temperature T and chemical potential Δ. Indeed, Ωl decreases with increasing temperature and/or decreasing chemical potential. Phase diagrams in the (Ω–T) and (Ω–Δ) planes are established. However, the increase of the transverse field favours the layering sublimation and bulk melting transitions. Moreover, the (Ω–T) phase diagrams show that the sequence of the critical end points go to the roughness transverse field ΩR and the roughness temperature TR which depend on the value of the chemical potential. Hence, ΩR increases and TR decreases when Δ increases. The profiles of densities and magnetizations as a function of the chemical potential, transverse field and the depth of the film are calculated.