Reentrance in the phase diagrams of the transverse Ising antiferromagnet in the presence of the longitudinal magnetic field on a simple cubic lattice

Abstract

In this paper, we study the critical behavior of the three-dimensional antiferromagnetic Ising model in both uniform longitudinal (H ) and transverse ( ) magnetic fields. Using the effective field theory (EFT) with finite cluster N = 1 spin (EFT) we calculate the phase diagrams in the H -T , -T and -H planes for a simple cubic lattice. We have only found second-order phase transitions for all values of fields and reentrant behavior was observed at low temperature.

Study on the magnetic and hysteresis behaviors in a bilayer graphene-like ring with edge decorated

“…The lower value of J 2 is, the smaller area of ferrimagnetic phase is. A similar behavior has been also found in other materials [58][59][60]. This can be interpreted as a delicate balance between long-range ordered and locally disordered fields [61].…”

The magnetic susceptibility on the transverse antiferromagnetic Ising model: Analysis of the reentrant behavior

“…In the Fig. (1.d), we reproduce the h − T phase diagram obtained by Neto and de Sousa [38] we show for the reentrant region.…”

“…For case h = 6.05 and δ = 0.01, the phase transition occurs at two one point in T (2) N = 2.995 and the case h = 6.20 and δ = 0.9, the phase transition occurs in the one point T (1) N = 3.179. For the occurrence of these reentrant phenomenon in a certain appropriate range of h and δ, explanation of mechanisms has been given by Neto and de Sousa [38]. In this work the phase diagram in the h − T plane is presented with selected values of δ that show the presence of reentrant behaviour in the region of low temperature, see Fig.…”

“…(1) N = 3.179. For the occurrence of these reentrant phenomenon in a certain appropriate range of h and δ, explanation of mechanisms has been given by Neto and de Sousa [38]. In this work the phase diagram in the h − T plane is presented with selected values of δ that show the presence of reentrant behaviour in the region of low temperature, see Fig.…”

Mean-field theory of the spin-1/2 transverse field Ising model with a negative thermal expansion

“…The transverse field Ising model became also very popular as the simplest statistical-mechanical model exhibiting the quantum phase transitions [7,8]. In particular, it was established that the zero-temperature quantum phase transitions in the transverse field Ising models in the spatial dimension d belong to the same universality class as the thermal phase transitions of the (d + 1) Ising models without the transverse field [9][10][11][12].…”