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Matter exhibits phases and their transitions. These transitions are classified as first-order phase transitions (FOPTs) and continuous ones. While the latter has a well-established theory of the renormalization group, the former is only…

Statistical Mechanics · Physics 2017-04-12 Fan Zhong

We investigate the classical chiral Ashkin-Teller model on a square lattice with the corner transfer matrix renormalisation group (CTMRG) algorithm. We show that the melting of the period-4 phase in the presence of a chiral perturbation…

Statistical Mechanics · Physics 2022-03-08 Samuel Nyckees , Frédéric Mila

In the paper we considere three state $p$-adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the $p$-adic Gibbs measures to the solution of certain recursive equation, and using…

Mathematical Physics · Physics 2009-11-11 Farrukh Mukhamedov , Utkir Rozikov , Jose Fernando F. Mendes

We present a statistical analysis of spectra of transfer matrices of classical lattice spin models; this continues the work on the eight-vertex model of the preceding paper. We show that the statistical properties of these spectra can serve…

Statistical Mechanics · Physics 2009-10-28 H. Meyer , J. -C. Anglès d'Auriac

Using the single-spin flipping dynamics, we study the nonequilibrium evolution near the entire phase boundary of the 3D Ising model, and find that the average of relaxation time (RT) near the first-order phase transition line (1st-PTL) is…

Statistical Mechanics · Physics 2024-03-13 Xiaobing Li , Yuming Zhong , Ranran Guo , Mingmei Xu , Yu Zhou , Jinghua Fu , Yuanfang Wu

The standard Potts model is investigated in the framework of nonextensive statistical mechanics. We performed Monte Carlo simulations on two-dimensional lattices with linear sizes ranging from 16 to 64 using the Metropolis algorithm, where…

Statistical Mechanics · Physics 2012-06-14 Attila Boer

Symmetries are important guiding principle for phase transitions. We systematically construct field theory models with local quantum fields that exhibit the following phase transitions: (1) different symmetry protected topological (SPT)…

Strongly Correlated Electrons · Physics 2025-06-10 Po-Shen Hsin

The mobility edge, as a central concept in disordered models for localization-delocalization transitions, has rarely been discussed in the context of random matrix theory (RMT). Here we report a new class of random matrix model by direct…

Disordered Systems and Neural Networks · Physics 2023-11-16 Xiaoshui Lin , Guang-Can Guo , Ming Gong

A nonequilibrium Potts-like model with $q$ absorbing states is studied using Monte Carlo simulations. In two dimensions and $q=3$ the model exhibits a discontinuous transition. For the three-dimensional case and $q=2$ the model exhibits a…

Statistical Mechanics · Physics 2009-11-07 A. Lipowski , M. Droz

We show that a dynamic gain-loss modulation in an optical structure can lead to a direction-dependent parity-time (PT) phase transition. The phase transition can be made thresholdless in the forward direction, and yet remains with a…

Optics · Physics 2019-01-23 Alex Y. Song , Yu Shi , Qian Lin , Shanhui Fan

We study percolation transition of run and tumble particles (RTPs) on a two dimensional square lattice. RTPs in these models run to the nearest neighbour along their internal orientation with unit rate, and to other nearest neighbours with…

Statistical Mechanics · Physics 2024-12-30 Soumya K. Saha , Aikya Banerjee , P. K. Mohanty

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

Statistical Mechanics · Physics 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

The superradiant phase transition (SRPT) is forbidden in the standard isotropic Dicke model due to the so-called no-go theorem induced by A-square term. In the framework of the Dicke model, we demonstrate that SRPTs can occur at both zero…

Quantum Physics · Physics 2025-04-24 Xiang-You Chen , Yu-Yu Zhang , Qing-Hu Chen , Hai-Qing Lin

We study phase transition behavior of the Heisenberg model on a distorted triangular lattice with competing interactions. The ground-state phase diagram indicates that underlying symmetry can be changed by tuning parameters. We focus on two…

Statistical Mechanics · Physics 2013-07-16 Ryo Tamura , Shu Tanaka , Naoki Kawashima

In recent years, programmable Rydberg-atom arrays have been widely used to simulate new quantum phases and phase transitions, generating great interest among theorists and experimentalists. Based on the large-scale density matrix…

Strongly Correlated Electrons · Physics 2022-10-26 Xue-Jia Yu , Sheng Yang , Jinbo Xu , Limei Xu

Continuous time-translation symmetry is often spontaneously broken in open quantum systems, and the condition for their emergence has been actively investigated. However, there are only a few cases in which its condition for appearance has…

Quantum Physics · Physics 2025-02-10 Yuma Nakanishi , Ryo Hanai , Tomohiro Sasamoto

We study the metastable equilibrium properties of the Potts model with heat-bath transition rates using a novel expansion. The method is especially powerful for large number of state spin variables and it is notably accurate in a rather…

Statistical Mechanics · Physics 2021-03-18 Onofrio Mazzarisi , Federico Corberi , Leticia F. Cugliandolo , Marco Picco

We analyze in detail a second order phase transition that occurs in large N Gaussian multi-matrix models in which the matrices are constrained to be commuting. The phase transition occurs as the relative masses of the matrices are varied,…

High Energy Physics - Theory · Physics 2007-07-02 Ofer Aharony , Sean A. Hartnoll

It has been well established that spatially extended, bistable systems that are driven by an oscillating field exhibit a nonequilibrium dynamic phase transition (DPT). The DPT occurs when the field frequency is on the order of the inverse…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , P. A. Rikvold , M. A. Novotny

We study classification of interacting fermionic symmetry-protected topological (SPT) phases with both rotation symmetry and Abelian internal symmetries in one, two, and three dimensions. By working out this classification, on the one hand,…

Strongly Correlated Electrons · Physics 2022-06-01 Meng Cheng , Chenjie Wang
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