Physics Letters A

Monte Carlo study of the three-dimensional spatially anisotropic Ising superantiferromagnet in the presence of a magnetic field

Octavio D. Rodrı́guez Salmon, Minos A. Neto, J. Roberto Viana, Igor Tavares Padilha, J. Ricardo de Sousa

Published Jun 19, 2013• 8 citations

Publisher

DOI: 10.1016/j.physleta.2013.06.020

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Physics Letters A

Monte Carlo study of the three-dimensional spatially anisotropic Ising superantiferromagnet in the presence of a magnetic field

Octavio D. Rodrı́guez Salmon, Minos A. Neto, J. Roberto Viana, Igor Tavares Padilha, J. Ricardo de Sousa

Published Jun 19, 2013• 8 citations

Publisher

DOI: 10.1016/j.physleta.2013.06.020

Related papers

Monte Carlo Study on the Site-Diluted Three-Dimensional Ising Model with Spatially Anisotropic Interactions

Yoshio Aoyama, Motoyuki Tanaka

Journal of the Physical Society of JapanMay 15, 19970 citations

Monte Carlo Simulations of Three-Dimensional Heisenberg and Transverse-Ising Magnets

Ôjirô Nagai, Yuuzi Yamada, Y. Miyatake

Springer series in solid-state sciencesJan 1, 19873 citations

Monte Carlo study of the Ising antiferromagnetic with a longitudinal field on the anisotropic square lattice

J. Roberto Viana, Minos A. Neto, J. Ricardo de Sousa

Physics Letters AMay 8, 20099 citations

Dynamic criticality of the anisotropic kinetic Ising model

Zeynep Demir Vatansever, E. Vernek, Erol Vatansever

Abstract We investigate the dynamic phase transition properties of the two-dimensional anisotropic kinetic Ising model driven by a square-wave magnetic field. Spatial anisotropy is introduced through direction-dependent coupling strengths, and the system is analyzed using large-scale Monte Carlo simulations combined with finite-size scaling techniques. Several observables are computed to characterize the critical behavior and identify the transition points. Our results show that the presence of spatial anisotropy does not alter the universal nature of the transition, which remains consistent with that of the equilibrium Ising model. The findings highlight the robustness of the equilibrium Ising universality class even under spatial anisotropy and a time-dependent driving magnetic field.Abstract We investigate the dynamic phase transition properties of the two-dimensional anisotropic kinetic Ising model driven by a square-wave magnetic field. Spatial anisotropy is introduced through direction-dependent coupling strengths, and the system is analyzed using large-scale Monte Carlo simulations combined with finite-size scaling techniques. Several observables are computed to characterize the critical behavior and identify the transition points. Our results show that the presence of spatial anisotropy does not alter the universal nature of the transition, which remains consistent with that of the equilibrium Ising model. The findings highlight the robustness of the equilibrium Ising universality class even under spatial anisotropy and a time-dependent driving magnetic field.

Journal of Statistical Mechanics Theory and ExperimentSep 1, 20250 citations

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Dennis C. Rapaport

Physics Letters AFeb 1, 197812 citations

The Ising antiferromagnet on an anisotropic simple cubic lattice in the presence of a magnetic field

Octavio D. Rodrı́guez Salmon, Minos A. Neto, J. Roberto Viana +2 more

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.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.

arXiv:1206.6534Jun 27, 20120 citations

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.