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We study the ground-state phase diagram of an unfrustrated antiferromagnetic Ising chain with longitudinal and transverse fields in the full range of interactions: from all-to-all to nearest-neighbors. First, we solve the model analytically…

The results of extensive Monte Carlo simulations of magnetic-field induced transitions in the xy model on a stacked triangular lattice with antiferromagnetic intraplane and ferromagnetic interplane interactions are discussed. A low-field…

凝聚态物理 · 物理学 2009-10-22 M. L. Plumer , A. Mailhot , A. Caillé

The present paper focuses on the order-disorder transition of an Ising model on a self-similar lattice. We present a detailed numerical study, based on the Monte Carlo method in conjunction with the finite size scaling method, of the…

凝聚态物理 · 物理学 2009-10-31 J. M. Carmona , U. Marini Bettolo Marconi , J. J. Ruiz-Lorenzo , A. Tarancon

Enormous advances have been made in the past 20 years in our understanding of the random-field Ising model, and there is now consensus on many aspects of its behavior at least in thermal equilibrium. In contrast, little is known about its…

统计力学 · 物理学 2022-12-23 Manoj Kumar , Varsha Banerjee , Sanjay Puri , Martin Weigel

We study the antiferromagnetic {\it XY} model on a triangular lattice by extensive Monte Carlo simulations, focusing on its ordering and critical properties. Our result clearly shows that two separate transitions occur at two distinct…

统计力学 · 物理学 2012-05-31 Tomoyuki Obuchi , Hikaru Kawamura

The antiferromagnetic quantum Ising chain has a quantum critical point which belongs to the universality class of the transverse Ising model (TIM). When a longitudinal field ($h$) is switched on, the phase transition is preserved, which…

统计力学 · 物理学 2021-05-12 Péter Lajkó , Ferenc Iglói

We study thermodynamic properties of an antiferromagnetic Ising model on the inverse perovskite lattice by using Monte Carlo simulations. The lattice structure is composed of corner-sharing octahedra and contains three-dimensional…

统计力学 · 物理学 2007-05-23 Daisuke Tahara , Yukitoshi Motome , Masatoshi Imada

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…

统计力学 · 物理学 2014-01-09 M. Žukovič , M. Jaščur

We analyze a three-state Potts model built over a lattice ring, with coupling $J_0$, and the fully connected graph, with coupling $J$. This model is effectively mean-field and can be exactly solved by using transfer-matrix method and…

统计力学 · 物理学 2020-06-09 Massimo Ostilli , Farrukh Mukhamedov

The one-dimensional transverse Ising model is a paradigmatic example of quantum criticality. In spin-orbit coupled systems, however, effective Ising interactions arise alongside bond-dependent couplings such as Kitaev ($K$) and $\Gamma$…

强关联电子 · 物理学 2026-03-17 Mandev Bhullar , Philip Richard , Hae-Young Kee

We study three-state Potts spins on a square lattice, in which all bonds are ferromagnetic along one of the lattice directions, and antiferromagnetic along the other. Numerical transfer-matrix are used, on infinite strips of width $L$…

统计力学 · 物理学 2009-11-07 Miguel Quartin , S L A de Queiroz

We propose an intuitively appealing formulation of the zero-temperature triangular lattice Ising antiferromagnet (TIAFM) on a cylinder as a model of noninteracting fermions hopping on a ring and evolving in imaginary time with pair…

统计力学 · 物理学 2018-09-12 Amir Nourhani , Vincent H. Crespi , Paul E. Lammert

We apply both a scalar field theory and a recently developed transfer-matrix method to study the stationary properties of metastability in a two-state model with weak, long-range interactions: the $N$$\times$$\infty$ quasi-one-dimensional…

凝聚态物理 · 物理学 2009-10-22 Bryan M. Gorman , Per Arne Rikvold , M. A. Novotny

The nature of the thermal melting process by which triangular-lattice Ising antiferromagnets lose their low-temperature ferrimagnetic three-sublattice order depends on the range of the interactions: It changes character when second and…

统计力学 · 物理学 2021-09-08 G. Rakala , N. Desai , S. Shivam , K. Damle

We have studied the antiferromagnetic Ising chain in a transverse magnetic field $h_{x}$ and uniform longitudinal field $h_{z}$. Using the density matrix renormalization group calculation combined with a finite-size scaling the ground state…

强关联电子 · 物理学 2009-11-10 A. A. Ovchinnikov , D. V. Dmitriev , V. Ya. Krivnov , V. O. Cheranovskii

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

统计力学 · 物理学 2023-07-25 Yusuf Yüksel

We study the ordered phases and the phase transitions in the stacked triangular antiferromagnetic Ising (STAFI) model with strong interplane coupling modeling CsCoCl$_3$ and CsCoBr$_3$. We find that there exists an intermediate phase which…

统计力学 · 物理学 2007-05-23 Norikazu Todoroki , Seiji Miyashita

The infinite-range-interaction Ising spin glass is considered in the presence of an external random magnetic field following a trimodal (three-peak) distribution. The model is studied through the replica method and phase diagrams are…

统计力学 · 物理学 2009-10-31 J. M. de Araujo , F. D. Nobre , F. A. da Costa

The phase transitions occurring in the frustrated Ising square antiferromagnet with first- ($J_1 < 0$) and second- ($J_2 < 0$) nearest-neighbor interactions are studied within the framework of the effective-field theory with correlations…

统计力学 · 物理学 2015-07-03 A. Bobák , T. Lučivjanský , M. Borovský , M. Žukovič

We consider an alternating Heisenberg spin-$1/2$ antiferromagnetic-ferromagnetic ($AF-F$) chain with the space modulated dominant antiferromagnetic exchange and anisotropic ferromagnetic coupling (tetrameric spin-$1/2$ chain). The…

强关联电子 · 物理学 2017-02-01 J. Vahedi , M. Shabani Arbousara , S. Mahdavifar