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The ferromagnet-to-paramagnet transition of the four-dimensional random-field Ising model with Gaussian distribution of the random fields is studied. Exact ground states of systems with sizes up to 32^4 are obtained using graph theoretical…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexander K. Hartmann

We study the low-field ground-state (GS) properties of the antiferromagnetic transverse-field Ising model with long-range interactions (afLRTFIM) on the triangular lattice. We use the method of perturbative continuous unitary…

Strongly Correlated Electrons · Physics 2024-02-19 J. A. Koziol , M. Mühlhauser , K. P. Schmidt

A modified version of a finite random field Ising ferromagnetic model in an external magnetic field at zero temperature is presented to describe group decision making. Fields may have a non-zero average. A postulate of minimum…

Disordered Systems and Neural Networks · Physics 2015-06-25 Serge Galam

Recently, a new memory effect was found in the metamagnetic domain structure of the diluted Ising antiferromagnet $Fe_x Mg_{1-x} Cl_2$ by domain imaging with Faraday contrast. Essential for this effect is the dipole interaction. We simulate…

Condensed Matter · Physics 2009-10-22 U. Nowak , A. Hucht

In this paper we study the critical behavior of the two-dimensional antiferromagnetic Ising model in both uniform longitudinal ($H$) and transverse ($\Omega $) magnetic fields. Using the effective-field theory (EFT) with correlation in…

Statistical Mechanics · Physics 2015-06-05 Minos A. Neto , J. Ricardo de Sousa

The Ising antiferromagnet is an important statistical physics model with close connections to the {\sc Max Cut} problem. Combining spatial mixing arguments with the method of moments and the interpolation method, we pinpoint the replica…

Combinatorics · Mathematics 2020-11-13 Amin Coja-Oghlan , Philipp Loick , Balázs F. Mezei , Gregory B. Sorkin

We consider long, finite-width strips of Ising spins with randomly distributed couplings. Frustration is introduced by allowing both ferro- and antiferromagnetic interactions. Free energy and spin-spin correlation functions are calculated…

Statistical Mechanics · Physics 2009-10-31 F. D. A. Aarao Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

An important aspect of real ferromagnetic particles is the demagnetizing field resulting from magnetostatic dipole-dipole interaction, which causes large particles to break up into domains. Sufficiently small particles, however, remain…

Condensed Matter · Physics 2008-12-18 Howard L. Richards , Mark A. Novotny , Per Arne Rikvold

Antiferromagnets (AFMs) exhibit intrinsic magnetization when the order parameter spatially varies. This intrinsic spin is present even at equilibrium and can be interpreted as a twisting of the homogeneous AFM into a state with a finite…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 Erlend G. Tveten , Tristan Müller , Jacob Linder , Arne Brataas

The statistics and form of avalanches in a driven system reveal the nature of the underlying energy landscape and dynamics. In conventional metallic ferromagnets, eddy-current back action can dominate the dynamics. Here, we study Barkhausen…

Other Condensed Matter · Physics 2019-10-09 D. M. Silevitch , J. Xu , C. Tang , K. A. Dahmen , T. F. Rosenbaum

A quantum phase transition from paramagnetic to ferromagnetic phase is driven by a time-dependent external magnetic field. For any rate of the transition the evolution is non-adiabatic and finite density of defects is excited in the…

Disordered Systems and Neural Networks · Physics 2016-08-31 Jacek Dziarmaga

We investigate the phase transition in a three-dimensional classical Heisenberg magnet with planar defects, i.e., disorder perfectly correlated in two dimensions. By applying a strong-disorder renormalization group, we show that the…

Statistical Mechanics · Physics 2010-04-08 Priyanka Mohan , Rajesh Narayanan , Thomas Vojta

We measure magnetic field dependence of the Hall angle in a metallic ferromagnetic nanomagnet with stable local magnetic moments where the adopted mechanisms of Hall effect predict linear plus a constant dependence on the external field…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Vadym Zayets , Andrey S. Mishchenko

Nonequilibrium phase transition properties of the $\pm J$ Ising model under a time dependent oscillating perturbation are investigated within the framework of effective field theory for a two-dimensional square lattice. After a detailed…

Statistical Mechanics · Physics 2013-04-29 Erol Vatansever , Umit Akinci , Hamza Polat

We study numerically the number of single-spin-flip stable states in the T=0 Random Field Ising Model (RFIM) on random regular graphs of connectivity $z=2$ and $z=4$ and on the cubic lattice. The annealed and quenched complexities (i.e. the…

Disordered Systems and Neural Networks · Physics 2007-10-08 F. J. Perez-Reche , M. L. Rosinberg , G. Tarjus

We study the convergence properties of Glauber dynamics for the random field Ising model (RFIM) with ferromagnetic interactions on finite domains of $\mathbb{Z}^d$, $d \ge 2$. Of particular interest is the Griffiths phase where correlations…

Probability · Mathematics 2024-11-14 Ahmed El Alaoui , Ronen Eldan , Reza Gheissari , Arianna Piana

A recent theory described strange metal behavior in a model of a Fermi surface coupled a two-dimensional quantum critical bosonic field with a spatially random Yukawa coupling. With the assumption of self-averaging randomness, similar to…

Strongly Correlated Electrons · Physics 2024-04-01 Aavishkar A. Patel , Peter Lunts , Subir Sachdev

The LiHo$_x$Y$_{1-x}$F$_4$ Ising magnetic material subject to a magnetic field, $B_x$, perpendicular to the Ho$^{3+}$ Ising direction has shown over the past twenty years to be a host of very interesting thermodynamic and magnetic…

Statistical Mechanics · Physics 2008-12-13 Pawel Stasiak , Michel J. P. Gingras

We study the problem of testing and recovering the hidden $k$-clique Ferromagnetic correlation in the planted Random Field Curie-Weiss model (a.k.a. the pRFCW model). The pRFCW model is a random effect Ising model that exhibits richer phase…

Statistics Theory · Mathematics 2024-03-25 Yihan He , Han Liu , Jianqing Fan

Ising model is a widely studied class of models in quantum computation. In this paper we investigate the computational characteristics of the random field Ising model (RFIM) with long-range interactions that decays as an inverse polynomial…

Quantum Physics · Physics 2023-07-26 Fangxuan Liu , L. -M. Duan