Phase diagrams of ferroelectric thin film with two surface layers

H. Arhchoui; Y. El Amraoui; D. Mezzane; I. Luk'yanchuk

doi:10.1051/epjap/2009119

EPJ

Phase diagrams of ferroelectric thin film with two surface layers

H. Arhchoui¹, Y. El Amraoui¹, D. Mezzane² and I. Luk'yanchuk³

¹ Laboratoire de Physique Statistique et Modélisation des Systèmes, Département de Physique, Errachidia, Morocco
² LMCN, Département de Physique, FSTG Marrakech, Morocco
³ Laboratoire de Physique de la Matière Condensée de l'Université de Picardie Jules Verne, 80039 Amiens, France

Received: 19 February 2009
Accepted: 28 April 2009
Published online: 4 July 2009

Abstract

Phase diagram of a ferroelectric thin film with two surface layers is studied in frame of the effective field theory (EFT) of transverse Ising model (TIM). The surface of the system is formed from two layers characterized by the exchange interaction anisotropy $R_s =\frac{J_s }{J}$ and the transverse field $\Omega _{s}$ . The crossover from the ferroelectric phase (FP) to the paraelectric phase (PP) is discussed. The phase diagram of the system is studied in $\big( {\frac{K_B T_c }{J},\frac{\Omega _s }{J}} \big)$ coordinates as function of the thickness parameter L. The special attention is given to the effect of the transverse field $\Omega _{s}$ on the phase transitions.

PACS: 75.70.AK – Magnetic properties of monolayers and thin films / 77.80.-e – Ferroelectricity and antiferroelectricity / 77.80.Bh – Phase transitions and Curie point

12 Internat. Congress of the Balkan Physical Union
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EPJ

Phase diagrams of ferroelectric thin film with two surface layers

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