scholarly journals Monte Carlo study of the S=12 and S=1 Heisenberg antiferromagnet on a spatially anisotropic square lattice

2000 ◽  
Vol 62 (10) ◽  
pp. 6378-6384 ◽  
Author(s):  
Y. Kim ◽  
R. Birgeneau
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet

Monte Carlo study of the quantum spin-(1/2 Heisenberg antiferromagnet on the square lattice

1989 ◽  
Vol 39 (7) ◽  
pp. 4435-4443 ◽  
Author(s):  
G. Gomez-Santos ◽  
J. D. Joannopoulos ◽  
J. W. Negele
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Quantum Spin ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet

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.

Study of the frustration in a 2D square lattice: a Monte Carlo study

2019 ◽  
Vol 6 (5) ◽  
pp. 056109
Author(s):  
Rachid Bouachraoui ◽  
Younes Ziat ◽  
Najim Tahiri ◽  
Lahoucine Bahmad ◽  
Omar El Rhazouani ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Square Lattice
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