arXiv:1605.05952 · International Journal of Modern Physics B

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

Minos A. Neto, J. Ricardo de Sousa, Igor T. Padilha, Octavio D. Rodriguez Salmon, J. Roberto Viana, F. Dinóla Neto

Published Jun 10, 2016• 4 citations

Abstract

We study the three-dimensional antiferromagnetic Ising model in both uniform longitudinal [Formula: see text] and transverse [Formula: see text] magnetic fields by using the effective-field theory (EFT) with finite cluster [Formula: see text] spin (EFT-1). We analyzed the behavior of the magnetic susceptibility to investigate the reentrant phenomena that we have seen in the same phase diagram previously obtained in other papers. Our results shows the presence of two divergences in the susceptibility that indicates the existence of a reentrant behavior.

DOI: 10.1142/s0217979216300115

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arXiv:1605.05952 · International Journal of Modern Physics B

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

Minos A. Neto, J. Ricardo de Sousa, Igor T. Padilha, Octavio D. Rodriguez Salmon, J. Roberto Viana, F. Dinóla Neto

Published Jun 10, 2016• 4 citations

arXiv HTML PDF

Abstract

DOI: 10.1142/s0217979216300115

Related papers

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

Minos A. Neto, J. Ricardo de Sousa

Physica ScriptaApr 17, 201315 citations

Reentrant behavior in the nearest-neighbor Ising antiferromagnet in a magnetic field

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Physical Review BDec 29, 200416 citations

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Physical Review BJun 23, 200632 citations

Phase diagrams and tricritical behavior of a diluted spin-1 transverse Ising model in a random field

Enaldo F. Sarmento, T. Kaneyoshi

Phase diagrams and magnetization curves of a diluted spin-1 transverse Ising model in a random field on honeycomb, square, and simple-cubic lattices, respectively, are investigated by the use of an effective-field theory with correlations. The tricritical point is found in the system, in contrast to the corresponding spin-1/2 Ising counterpart. The behavior of the tricritical point is also examined as a function of applied transverse field. The possible reentrant phenomena displayed by the system due to the competition effects that occur for appropriate ranges of the random and transverse fields are investigated.Phase diagrams and magnetization curves of a diluted spin-1 transverse Ising model in a random field on honeycomb, square, and simple-cubic lattices, respectively, are investigated by the use of an effective-field theory with correlations. The tricritical point is found in the system, in contrast to the corresponding spin-1/2 Ising counterpart. The behavior of the tricritical point is also examined as a function of applied transverse field. The possible reentrant phenomena displayed by the system due to the competition effects that occur for appropriate ranges of the random and transverse fields are investigated.

Physical review. B, Condensed matterAug 1, 199342 citations

{H}_{c}=8J

, we apply the effective field renormalization group (EFRG) approach in this model on three-dimensional lattices (simple cubic-sc and body centered cubic-bcc). We find that the critical curve

{T}_{N}(H)

exhibits a maximum point around of $H\ensuremath{\simeq}{H}_{c}$ only in the bcc lattice case. We also discuss the critical behavior by the effective field theory in clusters with one (EFT-1) and two (EFT-2) spins, and a reentrant behavior is observed for the sc and bcc lattices. We have compared our results of EFRG in the bcc lattice with Monte Carlo and series expansion, and we observe a good accordance between the methods.

We have studied the anisotropic three-dimensional nearest-neighbor Ising model with competitive interactions in an uniform longitudinal magnetic field

H

. The model consists of ferromagnetic interaction

J_{x}(J_{z})

in the

x(z)

direction and antiferromagnetic interaction

J_{y}

in the

y

direction. We have compared our calculations within a effective-field theory in clusters with four spins (EFT-4) in the simple cubic (sc) lattice with traditional Monte Carlo (MC) simulations. The phase diagrams in the

h-k_{B}T/J_{x}

plane (

h=H/J_{x}

) were obtained for the particular case

λ_{1}=J_{y}/J_{x} (λ_{2}=J_{z}/J_{x})=1

(anisotropic sc). Our results indicate second-order frontiers for all values of

H

for the particular case

λ_{2}=0

(square lattice), while in case

λ_{1}=λ_{2}=1

, we observe first- and second-order phase transitions in the low and high temperature limits, respectively, with presence of a tricritical point. Using EFT-4, a reentrant behavior at low temperature was observed in contrast with results of MC.

({J}_{x})

in the

x

direction and antiferromagnetic interaction

({J}_{y})

in the

y

direction. The phase diagram in the $T\text{\ensuremath{-}}H$ plane is obtained for the particular case

{J}_{x}={J}_{y}

. Special focus is given in the low-temperature region of the phase diagram, where a first-order phase transition is observed using the mean-field approximation, which is in disagreement with the linear chain approximation (LCA). Our results indicate a second-order phase transition for all values of

H∕J∊[0,2]

, with the presence of a reentrant behavior only observed in the BP approximation in accordance with the results of the LCA and exact solution. The null field critical temperature is an increasing function of

r={J}_{y}∕{J}_{x}

, and in the $r\ensuremath{\rightarrow}0$ limit we have found, using BP and EFT, the approximate form ${k}_{B}{T}_{N}∕{J}_{x}\ensuremath{\simeq}A∕\mathrm{ln}(1∕r)$ in accordance with the exact result of Onsager.