Critical behavior of two-dimensional spin systems under the random-bond six-state clock model

2012 ◽  
Vol 112 (6) ◽  
pp. 063924 ◽  
Author(s):  
Raymond P. H. Wu ◽  
Veng-cheong Lo ◽  
Haitao Huang
Keyword(s):  
Critical Behavior ◽  
Spin Systems ◽  
Two Dimensional ◽  
Clock Model

Critical behavior and magnetocaloric effect of the quasi-two-dimensional room-temperature ferromagnet Cr4Te5

2020 ◽  
Vol 101 (21) ◽  
Author(s):  
Luo-Zhao Zhang ◽  
An-Lei Zhang ◽  
Xiu-De He ◽  
Xin-Wei Ben ◽  
Qi-Ling Xiao ◽  
...  
Keyword(s):  
Magnetocaloric Effect ◽  
Critical Behavior ◽  
Room Temperature ◽  
Two Dimensional

THE CRITICAL BEHAVIOR OF THE 2D SPIN-1 ISING MODEL WITH THE BILINEAR AND POSITIVE BIQUADRATIC NEAREST NEIGHBOR INTERACTIONS ON A CELLULAR AUTOMATON

2004 ◽  
Vol 15 (10) ◽  
pp. 1425-1438 ◽  
Author(s):  
A. SOLAK ◽  
B. KUTLU
Keyword(s):  
Cellular Automaton ◽  
Phase Boundary ◽  
Critical Behavior ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Square Lattice ◽  
Two Dimensional ◽  
Finite Size Scaling ◽  
Creutz Cellular Automaton ◽  
Beg Model

The two-dimensional BEG model with nearest neighbor bilinear and positive biquadratic interaction is simulated on a cellular automaton, which is based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transitions of the model are presented for comparison with those obtained from other calculations. We confirm the existence of the tricritical points over the phase boundary for D/K>0. The values of static critical exponents (α, β, γ and ν) are estimated within the framework of the finite size scaling theory along D/K=-1 and 1 lines. The results are compatible with the universal Ising critical behavior except the points over phase boundary.

scholarly journals Surface Critical Behavior of Two-Dimensional Dilute Ising Models

1997 ◽  
Vol 89 (5-6) ◽  
pp. 1079-1085 ◽  
Author(s):  
W. Selke ◽  
F. Szalma ◽  
P. Lajkó ◽  
F. Iglói
Keyword(s):  
Critical Behavior ◽  
Ising Models ◽  
Two Dimensional ◽  
Surface Critical Behavior

scholarly journals Short-range Berezinskii-Kosterlitz-Thouless Phase Characterization for the q-state Clock Model

2021 ◽  
Author(s):  
Oscar Andres Negrete ◽  
Patricio Vargas ◽  
Francisco Jose Peña ◽  
Gonzalo Saravia ◽  
Eugenio Emilio Vogel
Keyword(s):  
Short Range ◽  
Nearest Neighbors ◽  
Vortex State ◽  
Spin Systems ◽  
Xy Model ◽  
Clock Model ◽  
Spin Correlations ◽  
Vortex States ◽  
Higher Temperature ◽  
Phase Characterization

Beyond the usual ferromagnetic and paramagnetic phases present in spin systems, the usual q-state clock model, presents an intermediate vortex state when the number of possible orientations q for the system is equal to 5 or larger. Such vortex states give rise to the Berezinskii-Kosterlitz-Thouless (BKT) phase present up to the XY model in the limit q→∞. Based on information theory, we present here an analysis of the classical order parameters plus new short-range parameters defined here. Thus, we show that even using the first nearest neighbors spin-spin correlations only, it is possible to distinguish the two transitions presented by this system for q greater than or equal to 5. Moreover, the appearance at relatively low temperature and disappearance of the BKT phase at a rather fix higher temperature is univocally determined by the short-range interactions recognized by the information content of classical and new parameters.

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