The Experts below are selected from a list of 18297 Experts worldwide ranked by ideXlab platform
M Itakura - One of the best experts on this subject based on the ideXlab platform.
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mean field analysis of antiferromagnetic three state potts model with next nearest Neighbor Interaction
Physical Review B, 1997Co-Authors: M ItakuraAbstract:The three-state Potts model with antiferromagnetic nearest-Neighbor (n.n.) and ferromagnetic next-nearest-Neighbor (n.n.n) Interaction is investigated within a mean-field theory. We find that the phase-diagram contains two kind of ordered phases, so-called BSS phase and PSS phase, separated by a discontinuous phase transition line. Order-disorder transition is continuous for the weak n.n.n. Interaction and becomes discontinuous transition when the n.n.n. Interaction is increased. We show that the multicritical point where the order-disorder transition becomes discontinuous is indeed a tricritical point.
H T Diep - One of the best experts on this subject based on the ideXlab platform.
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antiferromagnetic stacked triangular lattices with heisenberg spins phase transition and effect of next nearest Neighbor Interaction
Physical Review B, 1994Co-Authors: D Loison, H T DiepAbstract:We study by extensive histogram Monte Carlo simulations the phase transition in the antiferromagnetic stacked triangular lattices with classical Heisenberg spins. It is shown that in a range of the antiferromagnetic next-nearest-Neighbor Interaction ${\mathit{J}}_{2}$, the transition is clearly of first order. We also reconsider the controversial question concerning the nature of the phase transition when ${\mathit{J}}_{2}$=0: we show that the critical exponents obtained, in agreement with previous simulations, exclude the possibility of the O(4) class predicted by a nonlinear \ensuremath{\sigma} model in a 2+\ensuremath{\varepsilon} renormalization-group calculation. The phase diagram in the (${\mathit{J}}_{2}$,T) space (T: temperature) is shown and discussed. For comparison, the phase diagram obtained by a Green-function method in the case of quantum Heisenberg spins is also shown.
A K Murtazaev - One of the best experts on this subject based on the ideXlab platform.
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phase transitions and critical properties of the heisenberg antiferromagnetic model on a body centered cubic lattice with second nearest Neighbor Interaction
Journal of Experimental and Theoretical Physics, 2019Co-Authors: A K Murtazaev, D R Kurbanova, M K RamazanovAbstract:Phase transitions and critical properties of the antiferromagnetic Heisenberg model on a body-centered cubic lattice are investigated by the Monte Carlo method, based on the replica algorithm with allowance of the Interactions between the first and second nearest Neighbors. Analysis is performed for intensity ratios r of exchange Interaction between the first and second nearest Neighbors in the interval 0.0 ≤ r ≤ 1.0. The phase diagram of the dependence of the critical temperature on the intensity of Interaction of the second nearest Neighbors is constructed. On this diagram, a region in which the transition from the antiferromagnetic to the paramagnetic phase is of the first order is detected. The entire set of the main static critical indices is calculated. It is shown that the universality class of the critical behavior is preserved in the interval 0.0 ≤ r ≤ 0.6. It is found that the variation of the second nearest Neighbor Interaction intensity in the range 0.8 ≤ r ≤ 1.0 leads to nonuniversal critical behavior.
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Phase diagrams and ground-state structures of the antiferromagnetic materials on a body-centered cubic lattice
Materials Letters, 2019Co-Authors: A K Murtazaev, M K Ramazanov, M A Magomedov, D R Kurbanova, Kurban Sh. MurtazaevAbstract:Abstract This is the Monte Carlo research on phase transitions and the ground-state structure of antiferromagnets on a body-centered cubic lattice with the use of the Ising model. All possible magnetic structures of the ground-state in the dependency on exchange Interaction relations r are first obtained. Depending on an r value, in the system there are possible six different orderings in the ground-state. On the curve of a critical temperature versus a value of the next- nearest Neighbor Interaction, we discover a narrow region (2/3
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density of states and the ground state structure in the ising model on a kagome lattice with consideration for next nearest Neighbor Interaction
Physics of the Solid State, 2018Co-Authors: M A Magomedov, A K MurtazaevAbstract:Phase transitions and thermodynamic properties have been studied in the two-dimensional antiferromagnetic Ising model on a Kagome lattice by the Monte Carlo method with consideration for both nearest- and next-nearest-Neighbor Interaction. Using the histogram data analysis method, it has been shown that the studied model is characterized by a second-order phase transition. The temperature dependence of thermodynamic parameters has been revealed to exhibit abnormal behavior.
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critical properties of a frustrated heisenberg model on a stacked triangular lattice with allowance for second nearest Neighbor Interaction
Bulletin of The Russian Academy of Sciences: Physics, 2013Co-Authors: A K Murtazaev, M K Ramazanov, M K BadievAbstract:The critical properties of the three-dimensional antiferromagnetic Heisenberg model are investigated using the Monte Carlo method with allowance for second-nearest Neighbor Interaction. Pseudo-universal critical behavior of this model is observed for small lattices. A complete set of the main static magnetic and chiral indices is calculated with the use of finite-dimensional scaling theory.
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Phase transitions in the antiferromagnetic ising model on a square lattice with next-nearest-Neighbor Interactions
Journal of Experimental and Theoretical Physics, 2013Co-Authors: A K Murtazaev, M K Ramazanov, Felix A. Kassan-ogly, M K BadievAbstract:The phase transitions in the two-dimensional Ising model on a square lattice are studied using a replica algorithm, the Monte Carlo method, and histogram analysis with allowance for the next-nearest-Neighbor Interactions in the range 0.1 ≤ r < 1.0. A phase diagram is constructed for the dependence of the critical temperature on the next-nearest-Neighbor Interaction. A second-order phase transition is detected in this range and the model under study.
D Loison - One of the best experts on this subject based on the ideXlab platform.
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antiferromagnetic stacked triangular lattices with heisenberg spins phase transition and effect of next nearest Neighbor Interaction
Physical Review B, 1994Co-Authors: D Loison, H T DiepAbstract:We study by extensive histogram Monte Carlo simulations the phase transition in the antiferromagnetic stacked triangular lattices with classical Heisenberg spins. It is shown that in a range of the antiferromagnetic next-nearest-Neighbor Interaction ${\mathit{J}}_{2}$, the transition is clearly of first order. We also reconsider the controversial question concerning the nature of the phase transition when ${\mathit{J}}_{2}$=0: we show that the critical exponents obtained, in agreement with previous simulations, exclude the possibility of the O(4) class predicted by a nonlinear \ensuremath{\sigma} model in a 2+\ensuremath{\varepsilon} renormalization-group calculation. The phase diagram in the (${\mathit{J}}_{2}$,T) space (T: temperature) is shown and discussed. For comparison, the phase diagram obtained by a Green-function method in the case of quantum Heisenberg spins is also shown.
Christof Schutte - One of the best experts on this subject based on the ideXlab platform.
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nearest Neighbor Interaction systems in the tensor train format
Journal of Computational Physics, 2017Co-Authors: Patrick Gels, Stefan Klus, Sebastian Matera, Christof SchutteAbstract:Low-rank tensor approximation approaches have become an important tool in the scientific computing community. The aim is to enable the simulation and analysis of high-dimensional problems which cannot be solved using conventional methods anymore due to the so-called curse of dimensionality. This requires techniques to handle linear operators defined on extremely large state spaces and to solve the resulting systems of linear equations or eigenvalue problems. In this paper, we present a systematic tensor-train decomposition for nearest-Neighbor Interaction systems which is applicable to a host of different problems. With the aid of this decomposition, it is possible to reduce the memory consumption as well as the computational costs significantly. Furthermore, it can be shown that in some cases the rank of the tensor decomposition does not depend on the network size. The format is thus feasible even for high-dimensional systems. We will illustrate the results with several guiding examples such as the Ising model, a system of coupled oscillators, and a CO oxidation model.
