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The local properties of the spin one ferromagnetic Blume-Capel model defined on hierarchical lattices with dimension two and three are obtained by a numerical recursion procedure and studied as functions of the temperature and the reduced…

Statistical Mechanics · Physics 2017-12-12 Mário J. G. Rocha-Neto , G. Camelo-Neto , E. Nogueira , S. Coutinho

We investigate the three-state antiferromagnetic Potts model on a simple cubic lattice with a cluster flipping Monte Carlo simulation algorithm in the temperature region below the transition into disorder at T_{c1}. We find both the well…

Condensed Matter · Physics 2009-10-28 Ralf K. Heilmann , Jian-Sheng Wang , Robert H. Swendsen

We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular…

Statistical Mechanics · Physics 2022-03-14 Mouhcine Azhari , Unjong Yu

The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clock model on the square lattice are investigated by means of the corner-transfer matrix renormalization group method. The classical analogue of the entanglement…

Statistical Mechanics · Physics 2023-06-27 Roman Krčmár , Andrej Gendiar , Tomotoshi Nishino

We employ Monte Carlo simulations in order to investigate critical behavior of a geometrically frustrated spin-1 Ising antiferromagnet on a triangular lattice in the presence of a single-ion anisotropy. It has been previously found that…

Statistical Mechanics · Physics 2013-06-25 Milan Žukovič , Andrej Bobák

In this paper we study the phase diagram of the five-state Potts antiferromagnet on the bisected-hexagonal lattice. This question is important since Delfino and Tartaglia recently showed that a second-order transition in a five-state Potts…

Statistical Mechanics · Physics 2020-09-23 Jesús Salas

The spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice is studied by Monte Carlo simulations with the goal to determine phase diagrams for a range of the model parameters and to investigate the nature of the phase transitions…

Statistical Mechanics · Physics 2014-01-09 M. Žukovič , M. Jaščur

Using Monte Carlo simulations and finite-size scaling, we investigate the XY antiferromagnet on the triangular, Union Jack and bisected-hexagonal lattices, and in each case find both Ising and Kosterlitz-Thouless transitions. As is…

Strongly Correlated Electrons · Physics 2013-02-25 Jian-Ping Lv , Timothy M. Garoni , Youjin Deng

The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clock model on the square lattice are investigated by means of the corner-transfer matrix renormalization group method. A classical analog of the entanglement entropy…

Statistical Mechanics · Physics 2023-06-27 Roman Krčmár , Andrej Gendiar , Tomotoshi Nishino

In this work, we investigate the thermodynamic properties of the quantum Blume-Capel model with spin \( S = 5/2 \) in the presence of transverse and random crystalline fields. The system is described by a Hamiltonian that includes…

It is shown that a quasi two dimensional (layered) Heisenberg antiferromagnet with fully frustrated interplane couplings ({\it e.g.} on a body-centered tetragonal lattice) generically exhibits two thermal phase transitions with lowering…

Strongly Correlated Electrons · Physics 2009-11-11 Fang Chen , Jiangping Hu , Steven Kivelson , Stuart Brown

Critical properties of a geometrically frustrated generalized $XY$ model with antiferromagnetic (AFM) and third-order antinematic (AN3) couplings on a triangular lattice are studied by Monte Carlo simulation. It is found that such a…

Statistical Mechanics · Physics 2020-09-16 M. Lach , M. Žukovič

We perform a numerical study of the kinetic Blume-Capel (BC) model to find if it exhibits the metamagnetic anomalies previously observed in the kinetic Ising model for supercritical periods. We employ a heat-bath Monte Carlo (MC) algorithm…

Statistical Mechanics · Physics 2024-10-24 Celeste Mendes , Gloria M. Buendia , Per Arne Rikvold

Frustrated magnets with degenerate ground states exhibit exotic ground states and rich phase structures when perturbations and/or thermal fluctuations lift the degeneracy. In two-dimensional models with short-range interactions, continuous…

Statistical Mechanics · Physics 2024-03-20 Fumiya Kakizawa , Takahiro Misawa , Hiroshi Shinaoka

We analyze, within a mean-field approach, the stationary states of the kinetic spin-3/2 Blume-Capel model by the Glauber-type stochastic dynamics and subject to a time-dependent oscillating external magnetic field. The dynamic phase…

Statistical Mechanics · Physics 2009-11-13 Mustafa Keskin , Osman Canko , Bayram Deviren

We present the results of Monte Carlo simulations for the antiferromagnetic classical XXZ model with easy-plane exchange anisotropy on the triangular lattice, which causes frustration of the spin alignment. The behaviour of this system is…

Statistical Mechanics · Physics 2009-10-30 Luca Capriotti , Ruggero Vaia , Alessandro Cuccoli , Valerio Tognetti

We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit to clarify the critical properties of the $q$-state clock model on the square lattice. We determine accurately the two phase transition…

Statistical Mechanics · Physics 2020-07-01 Zi-Qian Li , Li-Ping Yang , Z. Y. Xie , Hong-Hao Tu , Hai-Jun Liao , T. Xiang

We investigate the effect of geometrical frustration on the $H$--$T$ phase diagrams of the classical Heisenberg antiferromagnets on triangular and kagome lattices. The phase diagrams for the two models are obtained from large scale Monte…

Strongly Correlated Electrons · Physics 2011-04-08 M. V. Gvozdikova , P. -E. Melchy , M. E. Zhitomirsky

Quantum magnetism is one of the most active fields for exploring exotic phases and phase transitions. The recently synthesized Na2BaCo(PO4)2 (NBCP) is an ideal material incarnation of the spin-1/2 easy axis triangular lattice…

Strongly Correlated Electrons · Physics 2025-10-27 Dechen Zhang , Yuan Zhu , Guoxin Zheng , Kuan-Wen Chen , Qing Huang , Lingxiao Zhou , Yujie Liu , Kaila Jenkins , Aaron Chan , Haidong Zhou , Lu Li

We report the magnetic phase transitions of a spin-5/2, 2-dimensional triangular lattice antiferromagnet (AFM) Na$_2$BaMn(PO$_4$)$_2$. From specific heat measurements, we observe two magnetic transitions at temperatures 1.15 K and 1.30 K at…

Strongly Correlated Electrons · Physics 2022-10-11 Jaewook Kim , Kyoo Kim , Eunsang Choi , Young Joon Ko , Dong Woo Lee , Sang Ho Lim , Jong Hoon Jung , Seongsu Lee