Quantum Monte Carlo study of the spin-1/2 Heisenberg model

1991 ◽  
Vol 43 (13) ◽  
pp. 11082-11087 ◽  
Author(s):  
Y. C. Chen ◽  
H. H. Chen ◽  
Felix Lee
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Heisenberg Model ◽  
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.

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