scholarly journals Chiral critical behavior of frustrated spin systems in two dimensions from five-loop renormalization-group expansions

2003 ◽  
Vol 67 (2) ◽  
Author(s):  
P. Calabrese ◽  
E. V. Orlov ◽  
P. Parruccini ◽  
A. I. Sokolov
Keyword(s):  
Renormalization Group ◽  
Critical Behavior ◽  
Two Dimensions ◽  
Spin Systems ◽  
Frustrated Spin

NONEQUILIBRIUM RELAXATION STUDIES FOR FRUSTRATED SPIN SYSTEMS WITH KOSTERLITZ–THOULESS TRANSITIONS

2009 ◽  
Vol 20 (09) ◽  
pp. 1367-1376
Author(s):  
YUKIYASU OZEKI ◽  
SATOSHI YOTSUYANAGI
Keyword(s):  
Transition Temperature ◽  
Present Model ◽  
Two Dimensions ◽  
Spin Systems ◽  
Type Model ◽  
Kt Transition ◽  
Glass Model ◽  
Lower Transition ◽  
Frustrated Spin ◽  
Q Values

The q-state clock gauge glass model in two dimensions with q = 6, 8, 10, 12, 14, 16 is studied by the use of the nonequilibrium relaxation analysis of the Kosterlitz–Thouless (KT) transition. The successive transitions of FM-KT-PM phases are investigated along the Nishimori line. For the upper critical temperature, it is found that the transition temperature is almost the same as in the continuous case for all q values. The lower transition temperature is found to be proportional to 1/q2. While the present model is not self-dual, we have a remarkable behavior with respect to the duality relation derived for the self-dual Villain-type model.

scholarly journals Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems

2001 ◽  
Vol 87 (9) ◽  
Author(s):  
Luca Capriotti ◽  
Federico Becca ◽  
Alberto Parola ◽  
Sandro Sorella
Keyword(s):  
Valence Bond ◽  
Spin Systems ◽  
Wave Functions ◽  
Resonating Valence Bond ◽  
Frustrated Spin

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

scholarly journals A PERCOLATION MODEL OF DIAGENESIS

2002 ◽  
Vol 13 (03) ◽  
pp. 319-331 ◽  
Author(s):  
S. S. MANNA ◽  
T. DATTA ◽  
R. KARMAKAR ◽  
S. TARAFDAR
Keyword(s):  
Numerical Simulation ◽  
Critical Behavior ◽  
Sedimentary Rocks ◽  
Two Dimensions ◽  
Percolation Model ◽  
Type Model ◽  
Stable Configuration ◽  
Critical Percolation ◽  
Restructuring Process ◽  
Simulation Results

The restructuring process of diagenesis in the sedimentary rocks is studied using a percolation type model. The cementation and dissolution processes are modeled by the culling of occupied sites in rarefied and growth of vacant sites in dense environments. Starting from sub-critical states of ordinary percolation the system evolves under the diagenetic rules to critical percolation configurations. Our numerical simulation results in two dimensions indicate that the stable configuration has the same critical behavior as the ordinary percolation.

Renormalization-group approach to antiferromagnetic critical behavior

1974 ◽  
Vol 10 (9) ◽  
pp. 3906-3912 ◽  
Author(s):  
V. A. Alessandrini ◽  
H. J. de Vega ◽  
F. Schaposnik
Keyword(s):  
Renormalization Group ◽  
Critical Behavior ◽  
Group Approach ◽  
Renormalization Group Approach
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