scholarly journals Critical exponents of the classical three-dimensional Heisenberg model: A single-cluster Monte Carlo study

1993 ◽  
Vol 48 (2) ◽  
pp. 936-950 ◽  
Author(s):  
Christian Holm ◽  
Wolfhard Janke
Keyword(s):  
Monte Carlo ◽  
Critical Exponents ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Monte Carlo Study ◽  
Cluster Monte Carlo ◽  
Single Cluster

Non-Equilibrium Critical Relaxation of Heisenberg Ferromagnets with Long-Range Correlated Defects

2012 ◽  
Vol 190 ◽  
pp. 39-42
Author(s):  
M. Medvedeva ◽  
Pavel V. Prudnikov
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Critical Exponents ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Initial State ◽  
Short Time ◽  
Theoretic Description ◽  
Good Agreement

The dynamic critical behavior of the three-dimensional Heisenberg model with longrangecorrelated disorder was studied by using short-time Monte Carlo simulations at criticality.The static and dynamic critical exponents are determined. The simulation was performed fromordered initial state. The obtained values of the exponents are in a good agreement with resultsof the field-theoretic description of the critical behavior of this model in the two-loopapproximation.

HIGH-PRECISION MONTE CARLO DETERMINATION OF α/ν IN THE 3D CLASSICAL HEISENBERG MODEL

1994 ◽  
Vol 05 (02) ◽  
pp. 267-270
Author(s):  
CHRISTIAN HOLM ◽  
WOLFHARD JANKE
Keyword(s):  
Monte Carlo ◽  
Specific Heat ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Finite Size ◽  
Topological Defects ◽  
Accurate Estimate ◽  
Scaling Analysis ◽  
Classical Heisenberg Model ◽  
Cluster Monte Carlo

To study the role of topological defects in the three-dimensional classical Heisenberg model we have simulated this model on simple cubic lattices of size up to 803, using the single-cluster Monte Carlo update. Analysing the specific-heat data of these simulations, we obtain a very accurate estimate for the ratio of the specific-heat exponent with the correlation-length exponent, α/ν, from a usual finite-size scaling analysis at the critical coupling Kc. Moreover, by fitting the energy at Kc, we reduce the error estimates by another factor of two, and get a value of α/ν, which is comparable in accuracy to best field theoretic estimates.

scholarly journals Single-cluster Monte Carlo study of the Ising model on two-dimensional random lattices

1994 ◽  
Vol 49 (14) ◽  
pp. 9644-9657 ◽  
Author(s):  
Wolfhard Janke ◽  
Mohammad Katoot ◽  
Ramon Villanova
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Random Lattices ◽  
Cluster Monte Carlo ◽  
Single Cluster

CRITICAL DYNAMICS IN THE 3D SPIN-1/2 HEISENBERG MODEL: A DECOUPLED CELL MONTE CARLO STUDY

1996 ◽  
Vol 07 (03) ◽  
pp. 441-447 ◽  
Author(s):  
CYNTHIA J. SISSON
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Monte Carlo Study ◽  
System Size ◽  
Classical Heisenberg Model ◽  
Monte Carlo Studies ◽  
Theoretical Predictions ◽  
Good Agreement

The three-dimensional spin-1/2 Heisenberg model on a simple cubic lattice is studied for ferromagnetic and antiferromagnetic interactions using the Decoupled Cell Method for quantum Monte Carlo. Results for the relaxation time τL are determined for both ferromagnetic and antiferromagnetic systems and found to be similar to those found for the classical (s → ∞) Heisenberg model. The scaling of τL with system size is used to extract the dynamical critical exponent z for the two systems. The values of z = 1.98 ± 0.12 for the ferromagnet and z = 1.94 ± 0.09 for the antiferromagnet are in good agreement with theoretical predictions and previous Monte Carlo studies of the classical Heisenberg model.

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

2013 ◽  
Vol 377 (34-36) ◽  
pp. 1991-1995 ◽  
Author(s):  
Octavio D.R. Salmon ◽  
Minos A. Neto ◽  
J. Roberto Viana ◽  
Igor T. Padilha ◽  
J. Ricardo de Sousa
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
Three Dimensional ◽  
Monte Carlo Study
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