Dynamic phase transition of ferroelectric nanotube described by a spin-1/2 transverse Ising model*

Abstract

The dynamic phase transition properties for ferroelectric nanotube under a spin-1/2 transverse Ising model are studied under the effective field theory (EFT) with correlations. The temperature effects on the pseudo-spin systems are unveiled in three-dimensional (3-D) and two-dimensional (2-D) phase diagrams. Moreover, the dynamic behaviors of exchange interactions on the 3-D and 2-D phase transitions under high temperature are exhibited. The results present that it is hard to obtain pure ferroelectric phase under high temperature; that is, the vibration of orderly pseudo-spins cannot be eliminated completely.

The impact of segment dilution on the magnetic and hysteretic properties of ferrimagnetic (1/2-1) segmented Ising nanowire

“…Experimentally, the core/shell nanostructures, such as core/shell nanowires and core/shell nanotubes have been widely studied [12][13][14][15][16][17][18][19]. Furthermore, by using a variety of theoretical techniques, mainly effective-field theory (EFT) [20][21][22][23][24][25][26][27][28], Bethe Lattice [29][30][31], mean-field theory (MFT) [32][33][34][35], and Monte Carlo simulations (MCS) [36][37][38][39][40][41][42][43], and the magnetic properties of core/shell nanostructures have also been studied. Similarly, magnetically segmented nanostructures composed of alternating ferromagnetic or nonmagnetic materials have been extensively explored [44][45][46][47][48][49][50].…”

Nonequlibrium magnetic features in a mixed spin (2, 5/2) Ising system driven by the external oscillating magnetic field by path probability method

“…In this seminal study, they examined DPTs and DPDs in a spin-1/2 Ising system (IS) by utilizing the mean-field theory based on the Glauber dynamics and simply called the dynamic mean-field method. Then, many aspects of DPTs and DPDs in a spin-1/2 IS were examined within the dynamic Monte Carlo simulations, the dynamic mean-field method, the effective-field theory based on the Glauber dynamics, and the path probability method (PPM) [5][6][7][8]. In the last two decades, DPTs and DPDs were mostly investigated utilizing the higher ISs (spin-1, spin-3/2, spin-2, spin-5/2, spin 7/2) [9][10][11][12] and mixed ISs (mixed spins (1/2, 1), (1/2, 3/2), (1, 3/2), (1, 2), 3/2, 2), (2, 5/2) ISs, etc) [13][14][15][16] within the above mentioned dynamic methods.…”