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Anomalous global symmetries, which can be realized on the boundary of symmetry-protected topological phases, brings new phases and phase transitions to condensed matter physics. In this work, we study a one dimensional model with an…

Strongly Correlated Electrons · Physics 2022-11-11 Jin-Xiang Hao , Wei Li , Yang Qi

The phase transitions in the transverse field Ising model in a competing spatially modulated (periodic and oscillatory) longitudinal field are studied numerically. There is a multiphase point in absence of the transverse field where the…

Statistical Mechanics · Physics 2016-08-31 Parongama Sen

This contribution is devoted to cover some technical aspects related to the use of the recently proposed energy probability distribution zeros in the study of phase transitions. This method is based on the partial knowledge of the partition…

Statistical Mechanics · Physics 2017-12-13 L A S Mól , R G M Rodrigues , R A Stancioli , J C S Rocha , B V Costa

We show that the recently proposed S=2 bond model with orbital degrees of freedom for insulating V$_{2}$O$_{3}$ not only explains the anomalous magnetic ordering, but also other mysteries of the magnetic phase transition. The model contains…

Strongly Correlated Electrons · Physics 2009-10-31 A. Joshi , Michael Ma , F. C. Zhang

The phase transitions that occur in an infinite-range-interaction Ising ferromagnet in the presence of a double-Gaussian random magnetic field are analyzed. Such random fields are defined as a superposition of two Gaussian distributions,…

Disordered Systems and Neural Networks · Physics 2009-11-13 N. Crokidakis , F. D. Nobre

We investigate the thermodynamics of a combined Dicke- and Ising-model which exhibits a rich phenomenology arising from the second order and quantum phase transitions from the respective models. The partition function is calculated using…

Quantum Physics · Physics 2012-02-27 Søren Gammelmark , Klaus Mølmer

A simple, general and practically exact method is developed for the equilibrium properties of the macroscopic physical systems with translational symmetry. Applied to the Ising model in two and three dimension, a modest calculation gives…

Strongly Correlated Electrons · Physics 2015-05-19 S. G. Chung

This paper deals with the stochastic Ising model with a temperature shrinking to zero as time goes to infinity. A generalization of the Glauber dynamics is considered, on the basis of the existence of simultaneous flips of some spins. Such…

Probability · Mathematics 2017-01-20 Roy Cerqueti , Emilio De Santis

A cluster weight Ising model is proposed by introducing an additional cluster weight in the partition function of the traditional Ising model. It is equivalent to the O($n$) loop model or $n$-component face cubic loop model on the…

Statistical Mechanics · Physics 2022-03-17 Ziyang Wang , Le Feng , Wanzhou Zhang , Chengxiang Ding

By means of the discrete truncated Wigner approximation we study dynamical phase transitions arising in the steady state of transverse-field Ising models after a quantum quench. Starting from a fully polarized ferromagnetic initial…

Quantum Gases · Physics 2020-07-15 Reyhaneh Khasseh , Angelo Russomanno , Markus Schmitt , Markus Heyl , Rosario Fazio

This paper leads with a random polymer model in $\Z^2$ having long-range self-repulsive interactions. By comparison with a long range one-dimensional ferromagnetic Ising model we shown that the polymer models we considered here undergo a…

Probability · Mathematics 2014-05-29 Leandro Cioletti , Chang Dorea , Simone Vasconcelos

Quantum phase transitions occur at zero temperature upon variation of some nonthermal control parameters. The Ising chain in a transverse field is probably the most-studied model undergoing such a transition, from ferromagnetic to…

Strongly Correlated Electrons · Physics 2011-03-02 Y. F. Dai , H. Zhang , S. Y. Zhou , B. Y. Pan , X. Qiu , X. C. Hong , T. Y. Guan , J. K. Dong , Y. Chen , S. Y. Li

The Gonihedric Ising model is a particular case of the class of models defined by Savvidy and Wegner intended as discrete versions of string theories on cubic lattices. In this paper we perform a high statistics analysis of the phase…

Statistical Mechanics · Physics 2009-11-10 M. Baig , J. Clua , D. A. Johnston , R. Villanova

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

Statistical Mechanics · Physics 2014-11-20 P. Strack , P. Jakubczyk

With up to 7 million spins, the existence of spontaneous magnetization of Ising spins on directed Barabasi-Albert networks is investigated by Monte Carlo simulations. We confirm our earlier result that the magnetization for different…

Disordered Systems and Neural Networks · Physics 2007-05-23 Muneer A. Sumour , M. M. Shabat , D. Stauffer

We numerically study the dynamics after a parameter quench in the one-dimensional transverse-field Ising model with long-range interactions ($\propto 1/r^\alpha$ with distance $r$), for finite chains and also directly in the thermodynamic…

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

Statistical Mechanics · Physics 2023-05-03 Michael Grady

Let $\DD$ be a simply connected, smooth enough domain of $\bbR^2$. For $L>0$ consider the continuous time, zero-temperature heat bath dynamics for the nearest-neighbor Ising model on $\mathbb Z^2$ with initial condition such that…

Probability · Mathematics 2016-01-13 H. Lacoin , F. Simenhaus , F. L. Toninelli

Phase transition of the Ising model is investigated on a planar lattice that has a fractal structure. On the lattice, the number of bonds that cross the border of a finite area is doubled when the linear size of the area is extended by a…

Statistical Mechanics · Physics 2016-02-02 Jozef Genzor , Andrej Gendiar , Tomotoshi Nishino

Following seminal work by J. Fr\"ohlich and T. Spencer on the critical exponent $\alpha=2$, we give a proof via contours of phase transition in the one-dimensional long-range ferromagnetic Ising model in the entire region of decay, where…

Mathematical Physics · Physics 2024-12-31 Lucas Affonso , Rodrigo Bissacot , Henrique Corsini , Kelvyn Welsch
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