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

✍ Scribed by A. Benyoussef; H. Ez-Zahraouy; H. Mahboub; M.J. Ouazzani

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 244 KB
• Volume: 326
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(03)00285-1

✦ Synopsis

The e ect of the transverse ÿeld on bulk melting and layering sublimation transitions of a spin-1 Blume-Emery-Gri ths (BEG) model is studied using the mean ÿeld theory. It is found that there exists a critical value of the transverse ÿeld l above which a sequence of layering sublimation occurs before melting bulk transition.

l depends on the value of temperature T and chemical potential . Indeed, l decreases with increasing temperature and/or decreasing chemical potential. Phase diagrams in the ( -T ) and ( -) planes are established. However, the increase of the transverse ÿeld favours the layering sublimation and bulk melting transitions. Moreover, the ( -T ) phase diagrams show that the sequence of the critical end points go to the roughness transverse ÿeld R and the roughness temperature TR which depend on the value of the chemical potential. Hence, R increases and TR decreases when increases. The proÿles of densities and magnetizations as a function of the chemical potential, transverse ÿeld and the depth of the ÿlm are calculated.