scholarly journals Universality in the three-dimensional random bond quantum Heisenberg antiferromagnet

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
U. Kanbur ◽  
E. Vatansever ◽  
H. Polat
Keyword(s):  
Three Dimensional ◽  
Heisenberg Antiferromagnet

Phase Transition in Frustrated Heisenberg Antiferromagnet on a Triangular Lattice with Next-Nearest Neighbor Interactions

2012 ◽  
Vol 190 ◽  
pp. 417-420
Author(s):  
A.K. Murtazaev ◽  
M.K. Ramazanov ◽  
M.K. Badiev
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Heisenberg Model ◽  
Nearest Neighbor ◽  
Three Dimensional ◽  
Finite Size ◽  
Replica Exchange ◽  
Heisenberg Antiferromagnet ◽  
Finite Size Scaling ◽  
The Monte Carlo Method

We study the critical behavior of three-dimensional antiferromagnet Heisenberg model with nearest-neighbor (J) and next-nearest-neighbor (J1) interactions by the Monte Carlo method using a high-effective replica exchange algorithm. Here is calculated a full set of main static critical exponents for values R =J1/J= 0.0; 0.025; 0.05; 0.075; 0.1; 0.115 using the finite-size scaling theory. A phase diagram of dependency of the critical temperature on a relation between nearest-neighbor and next-nearest-neighbor R is plotted.

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