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A ferromagnetic-paramagnetic phase transition of the two-dimensional frustrated Ising model on a hyperbolic lattice is investigated by use of the corner transfer matrix renormalization group method. The model contains ferromagnetic…

统计力学 · 物理学 2009-06-12 R. Krcmar , T. Iharagi , A. Gendiar , T. Nishino

We implement a new and accurate numerical entropic scheme to investigate the first-order transition features of the triangular Ising model with nearest-neighbor ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic interactions…

统计力学 · 物理学 2008-09-16 A. Malakis , N. G. Fytas , P. Kalozoumis

Motivated by intense research on two-dimensional spin-1/2 Kitaev materials, Kitaev spin chains and ladders, though geometrically limited, have been studied for their numerical simplicity and insights into extended Kitaev models. The phase…

强关联电子 · 物理学 2026-04-21 Mandev Bhullar , Haoting Xu , Hae-Young Kee

An anyon-chain-like lattice model with symmetry described by the Ising fusion category is studied. Combining numerical and analytical studies, we uncover a rich phase diagram that contains three phases: a symmetric critical phase and two…

强关联电子 · 物理学 2026-04-23 Soumil Roychowdhury , Chenjie Wang

Applying a numerical transfer-matrix formalism, we obtain complex-valued constrained free energies for the two-dimensional square-lattice nearest-neighbor Ising ferromagnet below its critical temperature and in an external magnetic field.…

凝聚态物理 · 物理学 2016-08-14 C. C. A. Günther , P. A. Rikvold , M. A. Novotny

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

统计力学 · 物理学 2012-12-24 M. Žukovič , A. Bobák

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

强关联电子 · 物理学 2015-06-05 S. E. Korshunov

We investigate infinite-order phase transitions like the Berezinskii-Kosterlitz-Thouless transition observed in a triangular-lattice three-spin interaction model. Based on a field theoretical description and the…

统计力学 · 物理学 2008-08-08 Hiromi Otsuka , Kiyohide Nomura

A transfer matrix scaling technique is developed for randomly diluted systems, and applied to the site-diluted Ising model on a square lattice in two dimensions. For each allowed disorder configuration between two adjacent columns, the…

凝聚态物理 · 物理学 2009-10-22 S. L. A. de Queiroz , R. B. Stinchcombe

Phase transition and critical properties of Ising-like spin-orbital interacting systems in 2-dimensional triangular lattice are investigated. We first show that the ground state of the system is a composite spin-orbital ferro-ordered phase.…

统计力学 · 物理学 2009-11-13 Huai-Bao Tang , Dong-Meng Chen , Xiang-Fei Wei , Liang-Jian Zou

We consider the thermal phase transition from a paramagnetic to stripe-antiferromagnetic phase in the frustrated two-dimensional square-lattice Ising model with competing interactions J1<0 (nearest neighbor, ferromagnetic) and J2 >0 (second…

统计力学 · 物理学 2013-06-19 Songbo Jin , Arnab Sen , Wenan Guo , Anders W. Sandvik

We have studied the antiferromagnetic order -- disorder transition occurring at $T=0$ in a 2-layer quantum Heisenberg antiferromagnet as the inter-plane coupling is increased. Quantum Monte Carlo results for the staggered structure factor…

凝聚态物理 · 物理学 2009-10-22 A. W. Sandvik , D. J. Scalapino

The effect of randomness on critical behavior is a crucial subject in condensed matter physics due to the the presence of impurity in any real material. We presently probe the critical behaviour of the antiferromagnetic (AF) Ising model on…

无序系统与神经网络 · 物理学 2018-05-23 Tasrief Surungan , Bansawang BJ , Muhammad Yusuf

We study the Ising model on the triangular lattice with nearest-neighbor couplings $K_{\rm nn}$, next-nearest-neighbor couplings $K_{\rm nnn}>0$, and a magnetic field $H$. This work is done by means of finite-size scaling of numerical…

计算物理 · 物理学 2009-11-10 Xiaofeng Qian , Henk W. J. Bloete

Quantum fluctuations in the effective spin one-half layered structure triangular-lattice quantum Heisenberg antiferromagnet Ba$_3$CoSb$_2$O$_9$ lift the classical degeneracy of the antiferromagnetic ground state in magnetic field, producing…

强关联电子 · 物理学 2021-06-02 N. A. Fortune , Q. Huang , T. Hong , J. Ma , E. S. Choi , S. T. Hannahs , Z. Y. Zhao , X. F. Sun , Y. Takano , H. D. Zhou

We analyze the critical behaviour of the three-dimensional, three-state Potts model in the presence of an external ordering field. From a finite size scaling analysis on lattices of size up to 70**3 we determine the critical endpoint of the…

高能物理 - 格点 · 物理学 2009-10-31 Frithjof Karsch , Sven Stickan

A method for treating ferromagnetic chains coupled with antiferromagnetic interactions on an hexagonal lattice is presented in this paper. The solution of the $1D$ part of the problem is obtained by classical transfer-matrix while the…

凝聚态物理 · 物理学 2009-10-22 Y. Trudeau , M. L. Plumer

Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied. We consider two lattice models, whose continuous limit…

强关联电子 · 物理学 2018-11-06 A. O. Sorokin

We study the low-field ground-state (GS) properties of the antiferromagnetic transverse-field Ising model with long-range interactions (afLRTFIM) on the triangular lattice. We use the method of perturbative continuous unitary…

强关联电子 · 物理学 2024-02-19 J. A. Koziol , M. Mühlhauser , K. P. Schmidt

Quantum phase transitions induced by an external magnetic field in the Haldane-gapped spin-1 chains are studied in a fermionic field-theoretic description of the model. In the case with broken axial symmetry, two transitions occurs…

强关联电子 · 物理学 2007-05-23 Y. -J. Wang