scholarly journals Critical behavior of the antiferromagnetic Heisenberg model on a stacked triangular lattice

1994 ◽  
Vol 4 (2) ◽  
pp. 181-186 ◽  
Author(s):  
T. Bhattacharya ◽  
A. Billoire ◽  
R. Lacaze ◽  
Th. Jolicoeur
Keyword(s):  
Critical Behavior ◽  
Triangular Lattice ◽  
Heisenberg Model ◽  
Antiferromagnetic Heisenberg Model

Phase Transitions in the Antiferromagnetic Heisenberg Model on a Triangular Lattice with the Next-Nearest Neighbor Interactions

2014 ◽  
Vol 215 ◽  
pp. 3-10
Author(s):  
Akai K. Murtazaev ◽  
Magomedsheykh K. Ramazanov
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Critical Behavior ◽  
Triangular Lattice ◽  
Heisenberg Model ◽  
Nearest Neighbor ◽  
Three Dimensional ◽  
Histogram Method ◽  
First Order Phase Transition ◽  
Antiferromagnetic Heisenberg Model

The critical behavior and phase transitions (PT) of the three-dimensional antiferromagnetic Heisenberg model on a layered triangular lattice with nearest-neighbor (J) and next-to-nearest neighbor (J1) interactions is studied by the replica Monte Carlo method. The first order phase transition has been revealed in the studied model based on the histogram method of processing data of the Monte Carlo for systems with large linear dimensions. Shown that the system exhibits the pseudouniversal critical behavior in the case of small lattices.

MONTE CARLO SIMULATION OF A 3-D FRUSTRATED HEISENBERG MODEL

1993 ◽  
Vol 04 (06) ◽  
pp. 1161-1165
Author(s):  
ALAIN BILLOIRE
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Triangular Lattice ◽  
Heisenberg Model ◽  
Antiferromagnetic Heisenberg Model

I present simulations of the classical antiferromagnetic Heisenberg model on a 3-D stacked triangular lattice. The program simulates three independent systems, one third of each system being updated in parallel. It performs between 600 and 800 MegaFlops on a 32 nodes CM-5.

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