Phase diagram and critical behavior of the antiferromagnetic Ising model in an external field

2016 ◽  
Vol 2016 (3) ◽  
pp. 033107 ◽  
Author(s):  
Bruno Jeferson Lourenço ◽  
Ronald Dickman
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
External Field ◽  
Critical Behavior ◽  
Antiferromagnetic Ising Model

Phase diagram of the dilute antiferromagnetic Ising model

1998 ◽  
Vol 244 (1-3) ◽  
pp. 165-168 ◽  
Author(s):  
E.E. Reinehr ◽  
W. Figueiredo
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Antiferromagnetic Ising Model

TWO-DIMENSIONAL WANG–LANDAU SAMPLING OF AN ASYMMETRIC ISING MODEL

2009 ◽  
Vol 20 (09) ◽  
pp. 1357-1366 ◽  
Author(s):  
SHAN-HO TSAI ◽  
FUGAO WANG ◽  
D. P. LANDAU
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
External Field ◽  
Density Of States ◽  
Triangular Lattice ◽  
Sampling Method ◽  
Two Dimensional ◽  
Theoretical Predictions ◽  
The Spectator ◽  
Three Body

We study the critical endpoint behavior of an asymmetric Ising model with two- and three-body interactions on a triangular lattice, in the presence of an external field. We use a two-dimensional Wang–Landau sampling method to determine the density of states for this model. An accurate density of states allowed us to map out the phase diagram accurately and observe a clear divergence of the curvature of the spectator phase boundary and of the derivative of the magnetization coexistence diameter near the critical endpoint, in agreement with previous theoretical predictions.

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

2016 ◽  
Vol 30 (17) ◽  
pp. 1630011
Author(s):  
Minos A. Neto ◽  
J. Ricardo de Sousa ◽  
Igor T. Padilha ◽  
Octavio D. Rodriguez Salmon ◽  
J. Roberto Viana ◽  
...  
Keyword(s):  
Field Theory ◽  
Phase Diagram ◽  
Magnetic Susceptibility ◽  
Ising Model ◽  
Magnetic Fields ◽  
Effective Field Theory ◽  
Three Dimensional ◽  
Effective Field ◽  
Antiferromagnetic Ising Model ◽  
Reentrant Phenomena

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.

scholarly journals A complexity classification of spin systems with an external field

2015 ◽  
Vol 112 (43) ◽  
pp. 13161-13166 ◽  
Author(s):  
Leslie Ann Goldberg ◽  
Mark Jerrum
Keyword(s):  
Ising Model ◽  
External Field ◽  
Spin System ◽  
Spin Systems ◽  
Ferromagnetic Ising Model ◽  
Complexity Classification ◽  
Antiferromagnetic Ising Model ◽  
Computational Difficulty ◽  
State Spin

We study the computational complexity of approximating the partition function of a q-state spin system with an external field. There are just three possible levels of computational difficulty, depending on the interaction strengths between adjacent spins: (i) efficiently exactly computable, (ii) equivalent to the ferromagnetic Ising model, and (iii) equivalent to the antiferromagnetic Ising model. Thus, every nontrivial q-state spin system, irrespective of the number q of spins, is computationally equivalent to one of two fundamental two-state spin systems.

scholarly journals GROUND STATES OF ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL WITH EXTERNAL FIELD

2012 ◽  
Vol 26 (03) ◽  
pp. 1150014 ◽  
Author(s):  
AZER KERIMOV
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
External Field ◽  
Lattice Points ◽  
Temperature Phase ◽  
Zero Temperature ◽  
One Dimensional ◽  
Ferromagnetic Ising Model ◽  
The One ◽  
Temperature Phase Diagram

A zero-temperature phase-diagram of the one-dimensional ferromagnetic Ising model is investigated. It is shown that at zero temperature spins of any compact collection of lattice points with identically oriented external field are identically oriented.

FRUSTRATION EFFECTS ON SMALL-WORLD NETWORKS

2004 ◽  
Vol 15 (09) ◽  
pp. 1269-1277 ◽  
Author(s):  
PAULO R. A. CAMPOS ◽  
VIVIANE M. DE OLIVEIRA ◽  
F. G. BRADY MOREIRA
Keyword(s):  
Critical Temperature ◽  
Ising Model ◽  
Critical Behavior ◽  
Magnetic Ordering ◽  
Small World ◽  
Two Dimensions ◽  
Small World Networks ◽  
Ferromagnetic Ising Model ◽  
Antiferromagnetic Ising Model ◽  
Frustration Effects

We investigate the frustration effects on small-world networks by studying antiferromagnetic Ising model in two dimensions. When the rewiring is constrained to those sites such that the interaction still occurs between spins in distinct sublattices and frustration does not take place, we observe that the system behaves as in previous investigations of ferromagnetic Ising model. However, when the rewiring procedure does not only produce interactions between spins in distinct sublattices, small-world configurations can effectively produce geometrical frustration and we attain a different critical behavior. In the frustrated case, the critical temperature decreases with the augment of the rewiring probability and the magnetic ordering presents two different regimes for low and high p.

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