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Related papers: Anisotropic Ising model in d+s dimensions

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We discuss the critical properties of the three-dimensional NJL model at nonzero temperature. We show that the Z(2)-symmetric model undergoes a second order phase transition with 2d Ising exponents and its critical region is suppressed by a…

High Energy Physics - Phenomenology · Physics 2017-08-23 Costas G. Strouthos

In the Ising model on the simple cubic lattice, we describe the inverse temperature $\beta$ and other quantities relevant for the computation of critical quantities in terms of a dimensionless squared mass $M$. The critical behaviors of…

High Energy Physics - Lattice · Physics 2015-08-25 Hirofumi Yamada

Considerations of the bad-metal behavior led to an early proposal for a quantum critical point under a P for As doping in the iron pnictides, which has since been experimentally observed. We study here an effective model for the…

Strongly Correlated Electrons · Physics 2016-04-04 Jianda Wu , Qimiao Si , Elihu Abrahams

We study the zero-temperature criticality of the Ising model on two-dimensional dynamical triangulations to contemplate its physics. As it turns out, an inhomogeneous nature of the system yields an interesting phase diagram and the physics…

High Energy Physics - Theory · Physics 2025-07-22 Jan Ambjørn , Yuki Sato , Tomo Tanaka

The classical $J_1$-$J_2$ Ising model on the square lattice is a minimal model of frustrated magnetism whose phase boundaries have remained under scrutiny for decades. Signs of first-order phase transitions have appeared in some studies,…

Statistical Mechanics · Physics 2024-03-20 Adil A. Gangat

We present new results for the ordering process of a two-dimensional Ising model with anisotropic frustrating next-nearest-neighbor interactions. We concentrate on a specific wide temperature and parameter region to confirm the existence of…

Statistical Mechanics · Physics 2013-08-08 A. Kalz , G. Chitov

We consider the Bose gas on a $d$-dimensional anisotropic lattice employing the imperfect (mean-field) gas as a prototype example. We study the dimensional crossover arising as a result of varying the dispersion relation at finite…

Statistical Mechanics · Physics 2020-08-05 Maciej Łebek , Paweł Jakubczyk

The two-dimensional Kondo lattice model with both nearest and next-nearest neighbor exchange interactions is studied within a mean-field approach and its phase diagram is determined. In particular, we allow for lattice translation symmetry…

Strongly Correlated Electrons · Physics 2007-05-23 Angsula Ghosh , E. Miranda

Consider the event that there is a $+$ crossing from left to right in a box for the Ising model on the triangular lattice. We show that this event is noise sensitive under Glauber dynamics $t \mapsto \sigma_t$ in the subcritical regime…

Probability · Mathematics 2025-08-07 Vincent Tassion , Hugo Vanneuville

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

Statistical Mechanics · Physics 2023-07-25 Yusuf Yüksel

We compute the structure factor of the $J_1$-$J_2$ Ising model in an external field on the square lattice within the Cluster Variation Method. We use a four point plaquette approximation, which is the minimal one able to capture phases with…

Statistical Mechanics · Physics 2016-10-19 Alejandra I. Guerrero , Daniel A. Stariolo

This paper focuses on the creation of a model with explicitly defined symmetry-protected topological (SPT) phases on a triangular lattice as an extension of $Z_2$ Ising model's ferromagnetic phase. Unlike in previously known similar works,…

Strongly Correlated Electrons · Physics 2024-06-28 Hrant Topchyan

We consider the 2D $J_1-J_2$ classical XY model on a square lattice. In the frustrated phase corresponding to $J_2>J_1/2$, an Ising like order parameter emerges by an ``order due to disorder'' effect. This leads to a discrete $Z_2$ symmetry…

Statistical Mechanics · Physics 2009-10-31 D. Loison , P. Simon

We perform intensive numerical simulations of the three-dimensional site-diluted Ising antiferromagnet in a magnetic field at high values of the external applied field. Even if data for small lattice sizes are compatible with second-order…

Disordered Systems and Neural Networks · Physics 2009-11-13 A. Maiorano , V. Martín-Mayor , J. J. Ruiz-Lorenzo , A. Tarancón

Motivated by earlier simulated annealing studies and materials with large spin on the Kagome lattice, we performed large scale parallel tempering simulations on the Kagome lattice for the extended classical Heisenberg model including next…

Statistical Mechanics · Physics 2013-05-30 Martin Spenke , Siegfried Guertler

We theoretically explore the crossover from three dimensions (3D) to two (2D) in a strongly interacting atomic Fermi superfluid through confining the transverse spatial dimension. Using the gaussian pair fluctuation theory, we determine the…

Quantum Gases · Physics 2017-10-18 Umberto Toniolo , Brendan C. Mulkerin , Chris J. Vale , Xia-Ji Liu , Hui Hu

The nonequilibrium phase transition in sheared three-dimensional Ising models is investigated using Monte Carlo simulations in two different geometries corresponding to different shear normals. We demonstrate that in the high shear limit…

Statistical Mechanics · Physics 2012-11-01 Alfred Hucht , Sebastian Angst

A recently introduced model describing the folding of the triangular lattice is generalized allowing for defects in the lattice and written as an Ising model with nearest-neighbor and plaquette interactions on the honeycomb lattice. Its…

High Energy Physics - Theory · Physics 2009-10-28 Emilio N. M. Cirillo , Giuseppe Gonnella , Alessandro Pelizzola

The leading irrelevant perturbation, which controls the deviation of critical square lattice Ising model with periodic boundary conditions from its continuous CFT analog is identified. An explicit expression for the coupling constant in…

High Energy Physics - Theory · Physics 2019-11-28 Armen Poghosyan

We implement a new and accurate numerical entropic scheme to investigate the first-order transition features of the triangular Ising model with nearest-neighbor ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic interactions…

Statistical Mechanics · Physics 2008-09-16 A. Malakis , N. G. Fytas , P. Kalozoumis
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