Phase Transition Properties of a Ferroelectric Superlattice with Surface Modification

The phase diagrams of a ferroelectric superlattice with finite alternating layers are investigated by using the transverse Ising model within the mean-field approximation. The effects of surface modification are introduced through a surface exchange interaction constant and a surface transverse field parameter. The results indicate that the features of the phase diagrams can be greatly modified by changing the transverse Ising model parameters. In addition, the crossover features of the inside transverse field parameters from the ferroelectric dominant phase diagram to the paraelectric dominant phase diagram are determined for a finite alternating superlattice.

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The Curie Temperature of the Ferroelectric Superlattice Films with Surface Modification

Zeitschrift für Naturforschung A ◽

10.1515/zna-2009-1108 ◽

2009 ◽

Vol 64 (11) ◽

pp. 723-728

Author(s):

Bao-Bing Zheng ◽

Xiao-Yu Kuang ◽

Shao-Mei Chang ◽

Ya-Ru Zhao ◽

Wen-Qiang Li

Keyword(s):

Surface Modification ◽

Ising Model ◽

Mean Field ◽

Transverse Field ◽

Exchange Interactions ◽

Field Approximation ◽

Mean Field Approximation ◽

Model Parameters ◽

Transverse Ising Model ◽

The Mean

We examine the critical behaviour of a finite alternating ferroelectric superlattice based on the transverse Ising model within the framework of the mean-field approximation. The results indicate that the features of the phase diagrams can be greatly modified by changing the transverse Ising model parameters. The transition temperature of alternating superlattice is described as function of the inter- and intra-layer exchange interactions, the strength of the transverse field, the superlattice thickness and the polarizations. In addition, the effects of surface modification on finite superlattices are also studied.

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PYROELECTRIC AND PHASE TRANSITION PROPERTIES OF A FINITE ALTERNATING FERROELECTRIC SUPERLATTICE WITH THREE SURFACE LAYERS

Modern Physics Letters B ◽

10.1142/s0217984911026243 ◽

2011 ◽

Vol 25 (15) ◽

pp. 1321-1333

Author(s):

FANG-GUANG KUANG ◽

XIAO-YU KUANG ◽

BAO-BING ZHENG

Keyword(s):

Phase Transition ◽

Ising Model ◽

Exchange Interaction ◽

Transverse Field ◽

Field Approximation ◽

Pyroelectric Coefficient ◽

Mean Field Approximation ◽

Model Parameters ◽

Surface Layers ◽

Transverse Ising Model

The pyroelectric and phase transition properties of a finite alternating ferroelectric superlattice with three surface layers are studied on the basis of the transverse Ising model by using the mean field approximation. The temperature-dependence of the polarization and pyroelectric coefficient of the superlattice with various inter-layer exchange interaction constants are given. The profiles of the polarization as well as the pyroelectric coefficient of the superlattice are shown. By taking into account the effects of the exchange interaction and transverse field parameters on the phase diagrams, we find that the phase transition properties of the superlattice are sensitive to the changes of transverse Ising model parameters.

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Unique phase diagrams in a graphene-like transverse Ising nanoparticle

International Journal of Modern Physics B ◽

10.1142/s0217979218502557 ◽

2018 ◽

Vol 32 (23) ◽

pp. 1850255 ◽

Cited By ~ 5

Author(s):

T. Kaneyoshi

Keyword(s):

Field Theory ◽

Ising Model ◽

Phase Diagrams ◽

Effective Field Theory ◽

Transverse Field ◽

Effective Field ◽

Two Dimensional ◽

Surface Exchange ◽

Small Surface ◽

Reentrant Phenomena

The phase diagrams and the magnetizations in a graphene-like two-dimensional nanoparticle described by the transverse Ising model are investigated by the use of the effective-field theory with correlations. We have found some characteristic behaviors especially for the system with a small transverse field and a small surface exchange interaction, such as the reentrant phenomena.

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