Exact diagonalization and quantum Monte Carlo study of the spin-12XXZmodel on the square lattice

2001 ◽  
Vol 64 (21) ◽  
Author(s):  
H.-Q. Lin ◽  
J. S. Flynn ◽  
D. D. Betts
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Exact Diagonalization ◽  
Square Lattice

QUANTUM MONTE CARLO STUDY OF SITE-DILUTED HEISENBERG ANTIFERROMAGNET ON A SQUARE LATTICE

1999 ◽  
Vol 10 (08) ◽  
pp. 1399-1407 ◽  
Author(s):  
S. TODO ◽  
K. KATO ◽  
H. TAKAYAMA ◽  
K. HARADA ◽  
N. KAWASHIMA ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Critical Exponents ◽  
Quantum Monte Carlo ◽  
Large Scale ◽  
Critical Concentration ◽  
Monte Carlo Study ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet ◽  
Large Systems ◽  
Time Loop

Ground-state phase transition of site-diluted Heisenberg antiferromagnets on a square lattice is studied. By using the continuous-time loop algorithm, we perform large-scale quantum Monte Carlo simulation on large systems at quite low temperatures. It is found that the critical concentration of magnetic sites is independent of the spin size S, and equal to the classical percolation threshold. However, the existence of quantum fluctuations makes the critical exponents deviate from those of the classical percolation transition. It is found that the transition is not universal, i.e., the critical exponents depend on the spin size S.

scholarly journals Quantum Monte Carlo study ofS=12weakly anisotropic antiferromagnets on the square lattice

2003 ◽  
Vol 67 (10) ◽  
Author(s):  
Alessandro Cuccoli ◽  
Tommaso Roscilde ◽  
Valerio Tognetti ◽  
Ruggero Vaia ◽  
Paola Verrucchi
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Square Lattice
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