scholarly journals Monte Carlo study of the anisotropic three-dimensional Heisenberg model in a crystal field

2004 ◽  
Vol 34 (2a) ◽  
pp. 452-454 ◽  
Author(s):  
R. T. S. Freire ◽  
J. A. Plascak ◽  
B. V. da Costa
Keyword(s):  
Monte Carlo ◽  
Crystal Field ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Monte Carlo Study

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.

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.

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

Cherenkov radiation-based three-dimensional position-sensitive PET detector: A Monte Carlo study

2018 ◽  
Vol 45 (5) ◽  
pp. 1999-2008 ◽  
Author(s):  
Ryosuke Ota ◽  
Ryoko Yamada ◽  
Takahiro Moriya ◽  
Tomoyuki Hasegawa
Keyword(s):  
Monte Carlo ◽  
Cherenkov Radiation ◽  
Three Dimensional ◽  
Monte Carlo Study ◽  
Position Sensitive
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