The Transverse Ferromagnet Spin–½ Ising Model of an Alternating Magnetic Superlattice

Abstract

The critical behavior of the transverse ferromagnetic Ising model of spinÈ1 2 an alternating magnetic superlattice is examined using the framework of the e †ective Ðeld theory with a probability distribution technique that accounts for the self-spin correlation function. The critical temperature of the alternating superlattice is calculated as a function of the intralayer and interlayer exchange interactions, the strength of the transverse Ðeld and the Ðlm thickness. The e †ects of modiÐed surface layers on the critical temperature of the system are also considered.

Hysteresis loops of a ferroelectric superlattice with an antiferroelectric interfacial coupling

“…Teng et al [18] discussed systematically the effects of various parameters on the phase diagrams of one-surface-layer thin films under the mean field approximation. Essaoudi et al [26], using the effective field theory with a probability distribution technique that accounts for the self-spin correlation function, studied the critical temperature of an alternating superlattice as a function of the intralayer and interlayer exchange interactions, the strength of the transverse field and the film thickness. The effects of modified surface layers on the critical temperature of the system are also considered.…”

Pyroelectric, dielectric properties and hysteresis loops of a ferroelectric bilayer system described by the transverse Ising model with long-range interactions

“…Using the effective field theory with a probability distribution technique [32], which take the correlation of the pseudo-spins within the range of fourth neighbor pseudo-spins into consideration, the layer longitudinal and transverse polarizations of the bilayer are derived in the same manner as for the transverse spin- 1 2 Ising superlattice [26] and are given by…”

“…Teng et al [18] have discussed systematically the effects of various parameters on the phase diagrams of one-surface-layer thin films under the effective field approximation. Essaoudi et al [26], using the effective field theory with a probability distribution technique that accounts for the self-spin correlation function, studied the critical temperature of an alternating superlattice as a function of the intralayer and interlayer exchange interactions, the strength of the transverse field and the film thickness, and investigated the hysteresis loops of a ferroelectric superlattice with an antiferroelectric interfacial coupling [27]. Chew et al [28] studied the ferroelectric bilayer or superlattice with an antiferroelectric interfacial coupling.…”