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A two-dimensional (2D) spin-1/2 antiferromagnetic Heisenberg model with a specific kind of quenched disorder is investigated, using the first principles nonperturbative quantum Monte Carlo calculations (QMC). The employed disorder…

无序系统与神经网络 · 物理学 2021-01-04 J. -H. Peng , D. -R. Tan , F. -J. Jiang

The theory of phase transitions is based on the consideration of "idealized" models, such as the Ising model: a system of magnetic moments living on a cubic lattice and having only two accessible states. For simplicity the interaction is…

统计力学 · 物理学 2011-12-22 H Chamati , S Romano

We perform extensive Monte Carlo simulations of the 10-state Potts model on quenched two-dimensional $\Phi^3$ gravity graphs to study the effect of quenched coordination number randomness on the nature of the phase transition, which is…

高能物理 - 格点 · 物理学 2009-10-28 C. F. Baillie , W. Janke , D. A. Johnston

We obtain a representation of the free energy of an XY model on a fully connected graph with spins subjected to a random crystal field of strength $D$ and with random orientation $\alpha$. Results are obtained for an arbitrary probability…

统计力学 · 物理学 2022-02-14 Sumedha , M. Barma

We study the influence of quenched disorder on quantum phase transitions in itinerant magnets with Heisenberg spin symmetry, paying particular attention to rare disorder fluctuations. In contrast to the Ising case where the overdamping…

强关联电子 · 物理学 2007-05-23 Thomas Vojta , Joerg Schmalian

We study the effect that randomness has on long-range interacting systems by using the ferromagnetic Ising model with $p$-body interactions in random fields. The case with p=2 yields a phase diagram similar to that of previously studied…

无序系统与神经网络 · 物理学 2015-03-17 Zsolt Bertalan , Takehiro Kuma , Yoshiki Matsuda , Hidetoshi Nishimori

The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance of quenched randomness on phase transitions are exemplified…

无序系统与神经网络 · 物理学 2007-05-23 Bertrand Berche , Christophe Chatelain

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…

We show that tailoring the dissipative environment allows to change the features of continuous quantum phase transitions and, even, induce first order transitions in ferromagnetic spin chains. In particular, using a numerically exact…

量子物理 · 物理学 2023-03-29 C. A. Perroni , A. De Candia , V. Cataudella , R. Fazio , G. De Filippis

We study the configurations of the nearest neighbor Ising ferromagnetic chain with IID centered and square integrable external random field in the limit in which the pairwise interaction tends to infinity. The available free energy…

概率论 · 数学 2025-03-03 Orphée Collin , Giambattista Giacomin , Yueyun Hu

The spin-1 quantum Ising systems with three-spin interactions on two-dimensional triangular lattices are studied by mean-field method. The thermal variations of order parameters and phase diagrams are investigated in detail. The stable,…

统计力学 · 物理学 2020-01-01 Hui Jiang , Xiang-Mu Kong

We study the effects of dilution to the critical properties of site-diluted Ising model in two dimensions using Monte Carlo simulations. Quenched disorder from the dilution is incorporated into the Ising model via random empty sites on the…

统计力学 · 物理学 2023-05-19 Eduardo C. Cuansing

We report numerical investigation of the glassy behavior of random-field exchange models in three dimensions. Correlation of energy with the magnetization for different numbers of spin components has been studied. There is a profound…

统计力学 · 物理学 2016-10-18 D. A. Garanin , E. M. Chudnovsky

The mixed spin-(1/2,1) Ising chain with axial and rhombic zero-field splitting parameters in a presence of the longitudinal magnetic field is exactly solved within the framework of decoration-iteration transformation and transfer-matrix…

统计力学 · 物理学 2015-05-27 Jozef Strecka , Michal Danco

We analyze numerically a moving interface in the random-field Ising model which is driven by a magnetic field. Without thermal fluctuations the system displays a depinning phase transition, i.e., the interface is pinned below a certain…

统计力学 · 物理学 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

Critical transitions are of great interest to scientists in many fields. Most knowledge about these transitions comes from systems exhibiting the multistability of spatially uniform states. In spatially extended and, particularly, in…

斑图形成与孤子 · 物理学 2016-02-17 Hezi Yizhaq , Golan Bel

Thermodynamic properties of the mixed spin-3/2 and spin-1/2 Heisenberg model are examined within the Oguchi approximation in the presence of a random crystal-field (RCF). The RCF is either introduced with probability p or turned off with…

软凝聚态物质 · 物理学 2021-03-30 D. Sabi Takou , M. Karimou , F. Hontinfinde , E. Albayrak

We show that an out-of-equilibrium percolation transition occurs after quenching ferromagnetic Ising-like systems across their magnetic first-order transitions. As a paradigmatic example, we consider a two-dimensional Ising system driven…

统计力学 · 物理学 2026-03-16 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We present in this paper an exact study concerning a first order transition induced by an inhomogeneous boundary magnetic field in the 2D Ising model. From a previous analysis of the interfacial free energy in the discrete case (J. Phys. A,…

统计力学 · 物理学 2007-05-23 Maxime Clusel , Jean-Yves Fortin

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

统计力学 · 物理学 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari