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Using Monte Carlo simulation we analyze phase transitions of two antiferromagnetic (AFM) triangular Blume-Capel (BC) models with AFM interactions between third nearest neighbors. One model has hard core exclusions between the nearest…

Statistical Mechanics · Physics 2014-10-03 Andrius Ibenskas , Mantas Šimėnas , Evaldas E. Tornau

Low-temperature magnetization processes and magnetocaloric properties of a geometrically frustrated spin-1 Blume-Capel model on a triangular lattice are studied by Monte Carlo simulations. The model is found to display qualitatively…

Statistical Mechanics · Physics 2015-06-17 M. Žukovič , A. Bobák

It is known that there is no phase transition down to zero temperature in the antiferromagnetic Ising model on spatially anisotropic triangular lattices, in which the exchange coupling of one direction is stronger than those of other two…

Statistical Mechanics · Physics 2013-06-24 Masahiro Sato , Naoyuki Watanabe , Nobuo Furukawa

The spin-3/2 Blume-Capel model on a rectangular lattice with the ferromagnetic bilinear short-range interaction $K^{\rm F}=K(1+x)$ in one direction and the anti-ferromagnetic one $K^{\rm AF}=K(-1+x)$ in the perpendicular direction under a…

Statistical Mechanics · Physics 2019-05-15 O. Baran , R. Levitskii

We investigate the density of states (DOS) in an antiferromagnetic spin-system on a square lattice described by the Blume-Capel (BC) model. We use a new and very efficient simulation method, proposed by Wang and Landau, in which we estimate…

Other Condensed Matter · Physics 2009-11-13 G. Pawlowski

We study the anti-ferromagnetic six-state clock model with nearest neighbor interactions on a triangular lattice with extensive Monte-Carlo simulations. We find clear indications of two phase transitions at two different temperatures: Below…

Statistical Mechanics · Physics 2009-11-07 J. D. Noh , H. Rieger , M. Enderle , K. Knorr

We present a detailed study by Monte Carlo simulations and finite-size scaling analysis of the phase diagram and ordered bulk phases for the three-dimensional Blume-Capel antiferromagnet in the space of temperature and magnetic and crystal…

Statistical Mechanics · Physics 2023-08-15 Daniel Silva , Gloria M. Buendia , Per Arne Rikvold

Monte Carlo simulations using the newly proposed Wang-Landau algorithm together with the broad histogram relation are performed to study the antiferromagnetic six-state clock model on the triangular lattice, which is fully frustrated. We…

Statistical Mechanics · Physics 2016-08-31 Tasrief Surungan , Yutaka Okabe , Yusuke Tomita

The Heisenberg antiferromagnet on a two-dimensional triangular lattice is a paradigmatic problem in frustrated magnetism. Even in the classical limit, its properties are far from simple. The "120 degree" ground state favoured by the…

Strongly Correlated Electrons · Physics 2011-12-19 Luis Seabra , Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

Effect of exchange anisotropy on the relaxation time of spin and vector chirality is studied for the antiferromagnetic classical Heisenberg model on the triangular lattice by using the nonequilibrium relaxation Monte Carlo method. We…

Strongly Correlated Electrons · Physics 2010-06-28 Takahiro Misawa , Yukitoshi Motome

The classical Heisenberg antiferromagnet on a triangular lattice with the single-ion anisotropy of the easy-axis type is theoretically investigated. The mean-field phase diagram in an external magnetic field is constructed. Three…

Strongly Correlated Electrons · Physics 2009-08-24 P. -É. Melchy , M. E. Zhitomirsky

The two-dimensional $q$-state clock models exhibit the Berezinskii-Kosterlitz-Thouless (BKT) transition for $q\geq5$ since they are a subset of the isotropic XY model. We examine the $6$-state clock model with an anisotropic deformation.…

Statistical Mechanics · Physics 2023-06-27 Maria Polackova , Andrej Gendiar

The trilayered Blume-Capel ($S=1$) magnet with nearest neighbour intralayer ferromagnetic and nearest neighbour interlayer antiferromagnetic interaction is studied by Monte Carlo simulation. Depending on the relative interaction strength…

Statistical Mechanics · Physics 2020-09-14 Muktish Acharyya

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two different regimes have…

Condensed Matter · Physics 2009-10-28 M. Kolesik , M. Suzuki

We study geometrically frustrated antiferromagnets with magnetoelastic coupling. Frustration in these systems may be relieved by a structural transition to a low temperature phase with reduced lattice symmetry. We examine the statistical…

Strongly Correlated Electrons · Physics 2008-06-30 Timothy E. Saunders , John T. Chalker

We prove that the 3-state Potts antiferromagnet on the diced lattice (dual of the kagome lattice) has entropically-driven long-range order at low temperatures (including zero). We then present Monte Carlo simulations, using a cluster…

Statistical Mechanics · Physics 2009-04-20 Roman Kotecky , Jesus Salas , Alan D. Sokal

A dilute Ising ferromagnet is considered in this study using renormalization group techniques with a hierarchical lattice. A series of phase diagrams have been produced that probe the effects of varying the temperature and concentration of…

Statistical Mechanics · Physics 2009-03-18 Daniel P. Snowman

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

Statistical Mechanics · Physics 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

We report magnetization and specific heat measurements in the 2D frustrated spin-1/2 Heisenberg antiferromagnet Cs2CuCl4 at temperatures down to 0.05 K and high magnetic fields up to 11.5 T applied along a, b and c-axes. The low-field…

Strongly Correlated Electrons · Physics 2013-06-25 Y. Tokiwa , T. Radu , R. Coldea , H. Wilhelm , Z. Tylczynski , F. Steglich

The dynamical responses of Blume-Capel (S=1) ferromagnet to the plane propagating (with fixed frequency and wavelength) and standing magnetic field waves are studied sepa- rately in two dimensions by extensive Monte Carlo simulation.…

Statistical Mechanics · Physics 2016-11-23 Muktish Acharyya , Ajay Halder
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