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We study the two-dimensional antiferromagnetic Ising model with a purely imaginary magnetic field, which can be thought of as a toy model for the usual $\theta$ physics. Our motivation is to have a benchmark calculation in a system which…

高能物理 - 格点 · 物理学 2017-09-15 Vicente Azcoiti , Giuseppe Di Carlo , Eduardo Follana , Eduardo Royo-Amondarain

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

Quantum tricriticality of a $J_1$-$J_2$ antiferromagnetic Ising model on a square lattice is studied using the mean-field (MF) theory, scaling theory, and the unbiased world-line quantum Monte-Carlo (QMC) method based on the Feynman path…

强关联电子 · 物理学 2015-12-09 Yasuyuki Kato , Takahiro Misawa

We numerically investigate the non-equilibrium critical dynamics in three-dimensional anisotropic antiferromagnets in the presence of an external magnetic field. The phase diagram of this system exhibits two critical lines that meet at a…

统计力学 · 物理学 2020-11-18 Riya Nandi , Uwe C. Täuber

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

无序系统与神经网络 · 物理学 2016-08-31 C. Pich , A. P. Young

The corner transfer matrix renormalization group (CTMRG) algorithm has been extensively used to investigate both classical and quantum two-dimensional (2D) lattice models. The convergence of the algorithm can strongly vary from model to…

统计力学 · 物理学 2024-01-04 Samuel Nyckees , Afonso Rufino , Frédéric Mila , Jeanne Colbois

We use Monte Carlo simulations to study multicritical properties of an Ising metamagnet in an external field. According to the mean field theory predictions, a three-dimensional layered metamagnet is expected to display a tricritical point…

统计力学 · 物理学 2015-06-12 M. Žukovič , T. Idogaki

We study classical Ising spin-$\frac{1}{2}$ models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imaginary magnetic field. The complex Boltzmann weights of spin…

统计力学 · 物理学 2023-06-27 Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

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

We study the two-dimensional square lattice Ising ferromagnet and antiferromagnet with a magnetic field by using tensor network method. Focusing on the role of guage fixing, we present the partition function in terms of a tensor network.…

统计力学 · 物理学 2025-01-03 Myung-Hoon Chung

Critical properties of the Ising model on a stacked triangular lattice, with antiferromagnetic first and second-neighbor in-plane interactions, are studied by extensive histogram Monte Carlo simulations. The results, in conjunction with the…

凝聚态物理 · 物理学 2009-10-22 M. L. Plumer , A. Mailhot , R. Ducharme , A. Caillé , H. T. Diep

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

We consider the random transverse-field Ising model in $d=3$ dimensions with long-range ferromagnetic interactions which decay as a power $\alpha > d$ with the distance. Using a variant of the strong disorder renormalization group method we…

统计力学 · 物理学 2016-06-08 István A. Kovács , Róbert Juhász , Ferenc Iglói

Three dimensional Ising model ferromagnets on different lattices with nearest neighbor interactions, and on simple cubic lattices with equivalent interactions out to further neighbors, are studied numerically. The susceptibility data for…

统计力学 · 物理学 2011-07-28 P. H. Lundow , I. A. Campbell

The critical behavior of the random-field Ising model has been a puzzle for a long time. Different theoretical methods predict that the critical exponents of the random-field ferromagnet in D dimensions are the same as in the pure…

无序系统与神经网络 · 物理学 2007-05-23 D. E. Feldman

In this study, the temperature variations of the equilibrium and the non-equilibrium antiferromagnetic and ferromagnetic susceptibilities of a metamagnetic system are examined near the critical point. The kinetic equations describing the…

统计力学 · 物理学 2015-05-28 Gul Gulpinar , Vatansever Erol

Using a Monte Carlo coarse-graining technique introduced by Binder et al., we have explicitly constructed the continuum field theory for the zero-temperature triangular Ising antiferromagnet. We verify the conjecture that this is a gaussian…

统计力学 · 物理学 2009-10-31 Hui Yin , Bulbul Chakraborty , Nicholas Gross

The two-dimensional ferromagnetic anisotropic Ashkin-Teller model is investigated through a real-space renormalization-group approach. The critical frontier, separating five distinct phases, recover all the known exacts results for the…

统计力学 · 物理学 2009-11-07 C. G. Bezerra , A. M. Mariz , J. M. de Araujo , F. A. da Costa

We study the Ising model with an external magnetic field on random tetravalent planar maps and investigate its critical behavior. Explicit expressions for spontaneous magnetization and the susceptibility are computed and the critical…

概率论 · 数学 2025-11-07 Nicolas Tokka

Histogram Monte-Carlo simulation results are presented for the magnetic-field -- temperature phase diagram of the Ising model on a stacked triangular lattice with antiferromagnetic intraplane and ferromagnetic interplane interactions.…

凝聚态物理 · 物理学 2015-06-25 M. L. Plumer , A. Mailhot
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