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A thorough numerical investigation of the slow dynamics in the d=1 random field Ising model in the limit of an infinite ferromagnetic coupling is presented. Crossovers from the preasymptotic pure regime to the asymptotic Sinai regime are…

Statistical Mechanics · Physics 2009-11-07 F. Corberi , A. de Candia , E. Lippiello , M. Zannetti

We investigate the nonequilibrium behavior of the d-dimensional Ising model with purely dissipative dynamics during its critical relaxation from a magnetized initial configuration. The universal scaling forms of the two-time response and…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , Andrea Gambassi , Florent Krzakala

It has long been believed that equilibrium random-field Ising model (RFIM) critical scattering studies are not feasible in dilute antiferromagnets close to and below Tc(H) because of severe non-equilibrium effects. The high magnetic…

Disordered Systems and Neural Networks · Physics 2009-10-31 Z. Slanic , D. P. Belanger , J. A. Fernandez-Baca

The generalized Fisher super-exchange antiferromagnetic model with uniaxial crystal-field anisotropy is exactly investigated using an extended mapping technique. An exact relation between partition function of the studied system and that…

Statistical Mechanics · Physics 2007-05-23 Lucia Canova , Michal Jascur

We study the Ising model with an external magnetic field on random tetravalent planar maps and investigate its critical behavior. Explicit expressions for spontaneous magnetization and the susceptibility are computed and the critical…

Probability · Mathematics 2025-11-07 Nicolas Tokka

We report on high-resolution specific-heat and magnetocaloric-effect measurements of the triangular-lattice antiferromagnets CsMn(Br_xI_{1-x})_3 with different x. The evolution of the magnetic phase diagrams from the easy-axis system for x…

Strongly Correlated Electrons · Physics 2009-11-07 R. Buegel , J. Wosnitza , H. v. Loehneysen , T. Ono , H. Tanaka

The two-dimensional (2D) random-bond Ising model has a novel multicritical point on the ferromagnetic to paramagnetic phase boundary. This random phase transition is one of the simplest examples of a 2D critical point occurring at both…

Statistical Mechanics · Physics 2009-10-28 Sora Cho , Matthew P. A. Fisher

Critical phenomena of ferromagnetic transition at finite temperatures are studied in double-exchange systems. In order to investigate strong interplay between charge and spin degrees of freedom, Monte Carlo technique is applied to include…

Strongly Correlated Electrons · Physics 2009-11-07 Yukitoshi Motome , Nobuo Furukawa

In systems belonging to the universality class of the random field Ising model, the standard hyperscaling relation between critical exponents does not hold, but is replaced by a modified hyperscaling relation. As a result, standard…

Statistical Mechanics · Physics 2010-12-01 R. L. C. Vink , T. Fischer , K. Binder

The ground states of the $S=\frac12$ Heisenberg chain with the nearest-neighbor and the next-nearest-neighbor antiferromagnetic couplings are numerically investigated in a staggered magnetic field. While the staggered magnetic field may…

Statistical Mechanics · Physics 2009-11-10 H. Otsuka

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

Quantum Gases · Physics 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

We explore the critical properties of the recently discovered finite-time dynamical phase transition in the non-equilibrium relaxation of Ising magnets after a temperature quench. The transition is characterized by a sudden switch in the…

Statistical Mechanics · Physics 2025-03-03 Nalina Vadakkayil , Massimiliano Esposito , Jan Meibohm

We investigate the finite-temperature behavior of the Yukawa model in which $N_{f}$ fermions are coupled with a scalar field $\phi$ in the limit $N_f \to \infty$. Close to the chiral transition the model shows a crossover between mean-field…

High Energy Physics - Lattice · Physics 2007-10-31 Sergio Caracciolo , Bortolo Matteo Mognetti , Andrea Pelissetto

We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power alpha of the distance. Using variants of the strong-disorder renormalization group method, the…

Disordered Systems and Neural Networks · Physics 2014-08-25 Róbert Juhász , István A. Kovács , Ferenc Iglói

The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the…

Statistical Mechanics · Physics 2009-10-28 F. C. Alcaraz , A. L. Malvezzi

The crossover from two- to three-dimensional critical behavior of nearly antiferromagnetic itinerant electrons is studied in a regime where the inter-plane single-particle motion of electrons is quantum-mechanically incoherent because of…

Condensed Matter · Physics 2016-08-15 Anne-Marie Daré , Y. M. Vilk , A. -M. S. Tremblay

The Anderson-Mott transition of disordered interacting electrons is shown to share many physical and technical features with classical random-field systems. A renormalization group study of an order parameter field theory for the…

Condensed Matter · Physics 2009-10-22 T. R. Kirkpatrick , D. Belitz

The Random-Field Ising Model (RFIM) has been extensively studied as a model system for understanding the effects of disorder in magnets. Since the late 1970s, there has been a particular focus on realizations of the RFIM in site-diluted…

Disordered Systems and Neural Networks · Physics 2008-01-16 D. M. Silevitch , D. Bitko , J. Brooke , S. Ghosh , G. Aeppli , T. F. Rosenbaum

We study the critical behavior of the entropy production of the Ising model subject to a magnetic field that oscillates in time. The mean-field model displays a phase transition that can be either first or second-order, depending on the…

Statistical Mechanics · Physics 2016-12-07 Yirui Zhang , Andre C Barato

Transfer-matrix methods on finite-width strips with free boundary conditions are applied to lattice site animals, which provide a model for randomly branched polymers in a good solvent. By assigning a distinct fugacity to sites along the…

Condensed Matter · Physics 2009-10-28 S L A de Queiroz