Monte Carlo investigation of the critical properties of a three-dimensional frustrated Heisenberg model on a triangular lattice

2009 ◽  
Vol 35 (7) ◽  
pp. 521-525 ◽  
Author(s):  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
M. K. Badiev
Keyword(s):  
Monte Carlo ◽  
Triangular Lattice ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Critical Properties ◽  
Monte Carlo Investigation

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.

Non-Equilibrium Critical Relaxation of Heisenberg Ferromagnets with Long-Range Correlated Defects

2012 ◽  
Vol 190 ◽  
pp. 39-42
Author(s):  
M. Medvedeva ◽  
Pavel V. Prudnikov
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Critical Exponents ◽  
Heisenberg Model ◽  
Three Dimensional ◽  
Initial State ◽  
Short Time ◽  
Theoretic Description ◽  
Good Agreement

The dynamic critical behavior of the three-dimensional Heisenberg model with longrangecorrelated disorder was studied by using short-time Monte Carlo simulations at criticality.The static and dynamic critical exponents are determined. The simulation was performed fromordered initial state. The obtained values of the exponents are in a good agreement with resultsof the field-theoretic description of the critical behavior of this model in the two-loopapproximation.

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