Phase Transitions in the Antiferromagnetic Heisenberg Model on a Body-Centered Cubic Lattice with Allowance for the Next-Nearest-Neighbor Interactions

2018 ◽  
Vol 60 (6) ◽  
pp. 1173-1176 ◽  
Author(s):  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
D. R. Kurbanova ◽  
M. K. Badiev
Keyword(s):  
Phase Transitions ◽  
Heisenberg Model ◽  
Nearest Neighbor ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Antiferromagnetic Heisenberg Model ◽  
Body Centered Cubic Lattice

Phase Transitions and the Critical Properties of the Heisenberg Model on a Body-Centered Cubic Lattice

2019 ◽  
Vol 61 (6) ◽  
pp. 1107-1112 ◽  
Author(s):  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
D. R. Kurbanova ◽  
M. A. Magomedov ◽  
M. K. Badiev ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Heisenberg Model ◽  
Critical Properties ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Body Centered Cubic Lattice

Phase Transitions in Frustrated Ising Antiferromagnet on a Body-Centered Cubic Lattice with Next-Nearest Neighbor Interactions

2015 ◽  
Vol 233-234 ◽  
pp. 86-89
Author(s):  
Akay K. Murtazaev ◽  
Magomedsheykh K. Ramazanov ◽  
Djuma R. Kurbanova
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Nearest Neighbors ◽  
Monte Carlo Algorithm ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Finite Dimensional ◽  
Ising Antiferromagnet ◽  
Antiferromagnetic Ising Model ◽  
Body Centered Cubic Lattice

The phase transitions in antiferromagnetic Ising model are studied on a body-centered cubic lattice by taking the interactions of next-nearest neighbors into account. The model is investigated on basis of the replica Monte Carlo algorithm and the histogrammic analysis of data. The diagram of the critical temperature dependence on an interaction value of next-nearest neighbors is plotted. The studied model reveals the phase transitions of second order. A static magnetic critical indices is calculated using the finite-dimensional scaling theory.

scholarly journals Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice

2019 ◽  
Vol 100 (1) ◽  
Author(s):  
Pratyay Ghosh ◽  
Tobias Müller ◽  
Francesco Parisen Toldin ◽  
Johannes Richter ◽  
Rajesh Narayanan ◽  
...  
Keyword(s):  
Heisenberg Model ◽  
The Body ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Body Centered Cubic Lattice

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.

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