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We have used Monte Carlo simulations to observe the magnetic behaviour of Ising thin-films with cubic lattice structures as a function of temperature and thickness especially in the critical region. The fourth order Binder cumulant is used…

Statistical Mechanics · Physics 2009-11-10 Y. Laosiritaworn , J. Poulter , J. B. Staunton

Monte Carlo simulations using the newly proposed Wang-Landau algorithm together with the broad histogram relation are performed to study the antiferromagnetic six-state clock model on the triangular lattice, which is fully frustrated. We…

Statistical Mechanics · Physics 2016-08-31 Tasrief Surungan , Yutaka Okabe , Yusuke Tomita

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic nearest-neighbor interactions ($J_{1}$) and antiferromagnetic next-nearest-neighbor couplings ($J_{2}$) are analyzed in the plane…

We study the coupled twin-diamond chain, a decorated one-dimensional Ising model motivated by the magnetic structure of $\mathrm{Cu}_{2}(\mathrm{TeO}_{3})_{2}\mathrm{Br}_{2}$. By applying an exact mapping to an effective Ising chain, we…

Statistical Mechanics · Physics 2026-02-23 Onofre Rojas

We introduce a universal combination of susceptibility and correlation length in the 3D Ising model, depending both on temperature and external magnetic field. Starting from a parametric representation of the equation of state, we study its…

High Energy Physics - Lattice · Physics 2021-11-29 Michele Caselle , Marianna Sorba

Competitive effects of so-called three-site four-spin interactions, single ion anisotropy and bilinear interactions is studied in the mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. Exploring the decoration-iteration…

Statistical Mechanics · Physics 2016-06-22 M. Jaščur , V. Štubňa , K. Szałowski , T. Balcerzak

We study the Ising model under a time-varying, but spatially homogeneous, Gaussian random magnetic field. In the Monte Carlo simulations, we go beyond the standard analysis of the order parameter by measuring the magnetization probability…

Statistical Mechanics · Physics 2026-03-30 Sara Oliver-Bonafoux , Raul Toral , Amitabha Chakrabarti

The phase structure of three-dimensional Z(N>4) lattice gauge theories at finite temperature is investigated. Using the dual formulation of the models and a cluster algorithm we locate the critical points of the two transitions, determine…

High Energy Physics - Lattice · Physics 2013-10-04 Oleg Borisenko , Volodymyr Chelnokov , Gennaro Cortese , Mario Gravina , Alessandro Papa , Ivan Surzhikov

We focus on three-component SU(3) Fermi gases loaded into a square optical lattice, with population imbalance between one component and the others. At strong coupling the system is described by the SU(3) Heisenberg model with an external…

Quantum Gases · Physics 2023-06-27 Hayato Motegi , Giacomo Marmorini , Nobuo Furukawa , Daisuke Yamamoto

Atomic many-body phase transitions and quantum criticality have recently attracted much attention in non-standard optical lattices. Here we perform an experimental study of finite-temperature superfluid transition of bosonic atoms confined…

Quantum Gases · Physics 2019-07-09 Shengjie Jin , Xinxin Guo , Peng Peng , Xuzong Chen , Xiaopeng Li , Xiaoji Zhou

We present a high precision Monte Carlo study of the finite temperature $Z_2$ gauge theory in 2+1 dimensions. The duality with the 3D Ising spin model allows us to use powerful cluster algorithms for the simulations. For temporal extensions…

High Energy Physics - Lattice · Physics 2009-10-28 M. Caselle , M. Hasenbusch

We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

Disordered Systems and Neural Networks · Physics 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We investigate the collective behavior of an Ising lattice gas, driven to non-equilibrium steady states by being coupled to {\em two} thermal baths. Monte Carlo methods are applied to a two-dimensional system in which one of the baths is…

Statistical Mechanics · Physics 2009-10-31 E. L. Praestgaard , B. Schmittmann , R. K. P. Zia

Thermal quenching has been used to find metastable materials such as hard steels and metallic glasses. More recently, quenching-based phase control has been applied to correlated electron systems that exhibit metal--insulator, magnetic or…

Materials Science · Physics 2025-04-25 Hiroshi Oike , Hidemaro Suwa , Yasunori Takahashi , Fumitaka Kagawa

We consider the Ising model on the two-dimensional square lattice where on each horizontal line, called "layer", the interaction is given by a ferromagnetic Kac potential with coupling strength $J_\gamma(x,y)=\gamma J(\gamma(x-y))$, where…

The critical properties of an infinitely long Ising strip with finite width L joined periodically or antiperiodically are investigated by analyzing the distribution of partition function zeros. For periodic boundary condition, the the…

Statistical Mechanics · Physics 2007-05-23 Ming-Chang Huang , Tsong-Ming Liaw , Yu-Pin Luo , Simon C. Lin

For the first order transition of the Ising model below $T_c$, Isakov has proven that the free energy possesses an essential singularity in the applied field. Such a singularity in the control parameter, anticipated by condensation theory,…

Statistical Mechanics · Physics 2011-10-11 J. L. Meunier , A. Morel

We investigate paramagnetic metal-insulator transitions in the infinite-dimensional ionic Hubbard model at finite temperatures. By means of the dynamical mean-field theory with an impurity solver of the continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2014-05-20 Aaram J. Kim , M. Y. Choi , Gun Sang Jeon

The two-dimensional ($2d$) fully frustrated Planar Rotator model on a square lattice has been the subject of a long controversy due to the simultaneous $Z_2$ and $O(2)$ symmetry existing in the model. The $O(2)$ symmetry being responsible…

Statistical Mechanics · Physics 2019-05-01 A. B. Lima , B. V. Costa

We investigate the ferromagnetic-glassy transitions which separate the low-temperature ferromagnetic and spin-glass phases in the temperature-disorder phase diagram of three-dimensional Ising spin-glass models. For this purpose, we consider…

Disordered Systems and Neural Networks · Physics 2015-05-28 Giacomo Ceccarelli , Andrea Pelissetto , Ettore Vicari