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The geometry and morphology of magnetic domain walls (DWs) are closely related to their dynamics when driven by external forces. Under some reliable approximations DWs can be considered self-affine interfaces, so universal laws govern their…

Disordered Systems and Neural Networks · Physics 2023-12-29 P. Domenichini , G. Pasquini , M. G. Capeluto

In many-body systems with quenched disorder, dynamical observables can be singular not only at the critical point, but in an extended region of the paramagnetic phase as well. These Griffiths singularities are due to rare regions, which are…

Disordered Systems and Neural Networks · Physics 2022-01-19 István A. Kovács , Ferenc Iglói

Domain walls are the topological defects that mediate polarization reversal in ferroelectrics, and they may exhibit quite different geometric and electronic structures compared to the bulk. Therefore, a detailed atomic-scale understanding…

Materials Science · Physics 2017-01-12 Meng Ye , David Vanderbilt

Quantum and thermal behaviors of low-dimensional mixed-spin systems are investigated with particular emphasis on the design of molecule-based ferromagnets. One can obtain a molecular ferromagnet by assembling molecular bricks so as to…

Statistical Mechanics · Physics 2009-11-07 Takashi Nakanishi , Shoji Yamamoto , Toru Sakai

Calculating the density-density correlation function for disordered wires, we study localization properties of wave functions in a magnetic field. The supersymmetry technique combined with the transfer matrix method is used. It is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Kolesnikov , K. B. Efetov

We study the ground-state (T = 0) morphologies in the d = 3 random-field Ising model (RFIM) using a computationally efficient graph-cut method. We focus on paramagnetic states which arise for disorder strengths \Delta > \Delta c, where…

Statistical Mechanics · Physics 2015-05-30 Gaurav P. Shrivastav , Siddharth Krishnamoorthy , Varsha Banerjee , Sanjay Puri

We study the domain geometry during spinodal decomposition of a 50:50 binary mixture in two dimensions. Extending arguments developed to treat non-conserved coarsening, we obtain approximate analytic results for the distribution of domain…

Statistical Mechanics · Physics 2009-12-17 Alberto Sicilia , Yoann Sarrazin , Jeferson J. Arenzon , Alan J. Bray , Leticia F. Cugliandolo

We investigate the laws of coarsening of a two-dimensional system of Ising spins evolving under single-spin-flip irreversible dynamics at low temperature from a disordered initial condition. The irreversibility of the dynamics comes from…

Statistical Mechanics · Physics 2015-07-28 C. Godreche , M. Pleimling

Magnetic-domain structure and dynamics play an important role in understanding and controlling the magnetic properties of two-dimensional magnets, which are of interest to both fundamental studies and applications[1-5]. However, the probe…

We present a numerical study of 2D random-bond Potts ferromagnets. The model is studied both below and above the critical value $Q_c=4$ which discriminates between second and first-order transitions in the pure system. Two geometries are…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Bertrand Berche

A model of disordered spin-Peierls system is considered, where domain walls are randomly distributed as a telegraph noise. For this realization of the disorder in an XX spin chain, we calculate exactly the density of states as well as…

Strongly Correlated Electrons · Physics 2009-10-30 M. Fabrizio , R. Mélin

Coating two nearby bodies with thin ferromagnetic films one obtains, below the Curie temperature, two interacting sets of magnetic domains. The dynamical properties of the bodies in presence of this domain interaction have never been…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 Andrea Benassi

We investigate the ground state of a uniaxial ferromagnetic plate with perpendicular easy axis and subject to an applied magnetic field normal to the plate. Our interest is the asymptotic behavior of the energy in macroscopically large…

Pattern Formation and Solitons · Physics 2015-05-18 H. Knuepfer , C. B. Muratov

Domain structure of a fluid ferroelectric nematic is dramatically different from the domain structure of solid ferroelectrics since it is not restricted by rectilinear crystallographic axes and planar surface facets. We demonstrate that…

We study the occurrence of domain branching in a class of $(d+1)$-dimensional sharp interface models featuring the competition between an interfacial energy and a non-local field energy. Our motivation comes from branching in uniaxial…

Analysis of PDEs · Mathematics 2024-07-15 Tobias Ried , Carlos Román

This is a review of the properties of 2d quantum quasiperiodic antiferromagnets as reported in studies that have been carried out in the last decade. Many results have been obtained for perfectly ordered as well as for disordered two…

Strongly Correlated Electrons · Physics 2015-05-30 Anuradha Jagannathan

We numerically study the dynamics of extended domain walls in homogeneous ferromagnets driven by a uniform magnetic field at zero temperature. Using both micromagnetic Landau-Lifshitz-Gilbert simulations and a collective-coordinate…

Disordered Systems and Neural Networks · Physics 2026-02-12 E. F. Pusiol , V. Lecomte , S. Bustingorry , A. B. Kolton

We study theoretically the influence of the underlying domain microstructure on the electromechanical properties of ferroelectrics. Our calculations are based on a continuum approach that incorporates the long-range elastic and…

Materials Science · Physics 2007-05-23 Rajeev Ahluwalia , Turab Lookman , Avadh Saxena , Wenwu Cao

A weak-localization effect has been studied in macroscopically inhomogeneous 2D system. It is shown, that although the real phase breaking length tends to infinity when the temperature tends to zero, such a system can reveal a saturated…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Germanenko , G. M. Minkov , O. E. Rut

The kinetic roughening of a driven interface between three dimensional spin-up and spin-down domains in a model with non-conserved scalar order parameter and quenched disorder is studied numerically within a discrete time dynamics at zero…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Jost , K. D. Usadel