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

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.