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The transverse-field Ising models with random exchange interactions in finite dimensions are investigated by means of a real-space renormalization-group method. The scheme yields the exact values of the critical point and critical exponent…

Disordered Systems and Neural Networks · Physics 2015-06-11 Ryoji Miyazaki , Hidetoshi Nishimori

We present analytical results for the strongly anisotropic random field Ising model, consisting of weakly interacting spin chains. We combine the mean-field treatment of interchain interactions with an analytical calculation of the average…

Statistical Mechanics · Physics 2009-10-31 Marc Thilo Figge , Maxim V. Mostovoy , Jasper Knoester

More than 30 years ago, Malozemoff (Phys. Rev. B 35, 3679 (1987)) hypothesized that exchange interaction at the interface between a ferromagnet (F) and an antiferromagnet (AF) can act as an effective random field, which can profoundly…

Materials Science · Physics 2020-04-22 Guanxiong Chen , Dylan Collette , Sergei Urazhdin

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

High Energy Physics - Lattice · Physics 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. P. Young

We consider two-dimensional Fermi liquids in the vicinity of a quantum transition to a phase with commensurate, antiferromagnetic long-range order. Depending upon the Fermi surface topology, mean-field spin-density-wave theory predicts two…

Condensed Matter · Physics 2009-10-22 Subir Sachdev , Andrey V. Chubukov , Alexander Sokol

Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transition may be effectively first-order and that…

Statistical Mechanics · Physics 2016-07-20 Andrew O. Parry , Alexandr Malijevský

Critical scattering analyses for dilute antiferromagnets are made difficult by the lack of predicted theoretical line shapes beyond mean-field models. Nevertheless, with the use of some general scaling assumptions we have developed a…

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

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , A. Bobák

We introduce and analyse the kinetic random-field nonreciprocal Ising model, which incorporates bimodal (double-delta) diffusive disorder along with pairwise nonreciprocal interactions between two different species. Using mean-field and…

Statistical Mechanics · Physics 2026-03-09 Arjun R , A. V. Anil Kumar

The non-equilibrium phase transition in driven two-dimensional Ising models with two different geometries is investigated using Monte Carlo methods as well as analytical calculations. The models show dissipation through fluctuation induced…

Statistical Mechanics · Physics 2012-05-23 Sebastian Angst , Alfred Hucht , Dietrich E. Wolf

The Ising model in the presence of a random field, drawn from the asymmetric and anisotropic trimodal probability distribution $P(h_{i})=p\; \delta(h_{i}-h_{0}) + q \delta (h_{i}+ \lambda *h_{0}) + r \delta (h_{i})$, is investigated. The…

Statistical Mechanics · Physics 2013-04-10 Ioannis A. Hadjiagapiou

The phase diagram of a system with two order parameters, with ${\it n_1}$ and $n_2$ components, respectively, contains two phases, in which these order parameters are non-zero. Experimentally and numerically, these phases are often…

Statistical Mechanics · Physics 2023-05-23 A. Kudlis , A. Aharony , O. Entin-Wohlman

The influence of a local anisotropy of random orientation on a ferromagnetic phase transition is studied for two cases of anisotropy axis distribution. To this end a model of a random anisotropy magnet is analyzed by means of the field…

Disordered Systems and Neural Networks · Physics 2016-11-23 M. Dudka , R. Folk , Yu. Holovatch

A microscopic mean-field theory of the phase coexistence between ferromagnetism and superconductivity in the weakly ferromagnetic itinerant electron system is constructed, while incorporating a realistic mechanism for superconducting…

Strongly Correlated Electrons · Physics 2007-05-23 Andriy H. Nevidomskyy

The anisotropic XY ferromagnet has been studied by Monte Carlo simulation in a three dimensional simple cubic lattice. The increase in critical temperature (ferro-para transition) has been noticed with increasing the strength of anisotropy.…

Statistical Mechanics · Physics 2024-05-03 Olivia Mallick , Muktish Acharyya

Recent numerical studies of the susceptibility of the three-dimensional Ising model with various interaction ranges have been analyzed with a crossover model based on renormalization-group matching theory. It is shown that the model yields…

Statistical Mechanics · Physics 2009-10-31 M. A. Anisimov , E. Luijten , V. A. Agayan , J. V. Sengers , K. Binder

The $q$-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges associated randomly with antiferromagnetic exchange integrals and the remaining edges with ferromagnetic ones. It is a nonequilibrium model…

Statistical Mechanics · Physics 2020-12-09 A. Krawiecki

A discussion is presented on the crossover of the susceptibility from mean-field to Ising critical behavior upon approaching the critical point from below and from above Tc, both for He3 and Xe. Fits of the experimental susceptibility data…

Statistical Mechanics · Physics 2007-05-23 Horst Meyer

Random bond Ising systems on a general hierarchical lattice are considered. The inequality between the specific heat exponent of the pure system, $\alpha_p$, and the crossover exponent $\phi$, $\alpha_p<=\phi$, gives rise to a possibility…

Statistical Mechanics · Physics 2018-09-19 Avishay Efrat