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The quantum critical behavior of the Ising glass in a magnetic field is investigated. We focus on the spin glass to paramagnet transition of the transverse degrees of freedom in the presence of finite longitudinal field. We use two…

Strongly Correlated Electrons · Physics 2009-11-10 L. Arrachea , D. Dalidovich , V. Dobrosavljević , M. J. Rozenberg

We investigate the geometric properties displayed by the magnetic patterns developing on a two-dimensional Ising system, when a diffusive thermal dynamics is adopted. Such a dynamics is generated by a random walker which diffuses throughout…

Statistical Mechanics · Physics 2008-10-02 E. Agliari , R. Burioni , D. Cassi , A. Vezzani

We consider the motion of electrons confined to a two dimensional plane with an externally applied perpendicular inhomogeneous magnetic field, both with and without a Coulomb potential. We find that as long as the magnetic field is…

Mesoscale and Nanoscale Physics · Physics 2016-08-05 C. A. Downing , M. E. Portnoi

The spontaneous magnetization is proved to vanish continuously at the critical temperature for a class of ferromagnetic Ising spin systems which includes the nearest neighbor ferromagnetic Ising spin model on $\mathbb Z^d$ in $d=3$…

Mathematical Physics · Physics 2017-09-20 Michael Aizenman , Hugo Duminil-Copin , Vladas Sidoravicius

Unconfined relativistic outflows from rotating, magnetized compact objects are often well-modeled by assuming the field geometry is approximately a split-monopole at large radii. Earlier work has indicated that such an unconfined flow has…

High Energy Astrophysical Phenomena · Physics 2009-11-29 Alexander Tchekhovskoy , Jonathan C. McKinney , Ramesh Narayan

A mesoscopic system of a few particles exhibits behaviors that strongly differ from those of a macroscopic system. While in a macroscopic system phase transitions are universal, a change in the state of a mesoscopic system depends on its…

Quantum Physics · Physics 2022-09-02 Lucia Duca , Naoto Mizukami , Elia Perego , Massimo Inguscio , Carlo Sias

The one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. Here, we investigate the full time dependence of this system.…

Statistical Mechanics · Physics 2007-05-23 M. Mobilia , R. K. P. Zia , B. Schmittmann

For the inverse square long-range ferromagnetic Ising chain in a transverse field, the thermal phase boundary of the floating Kosterlitz-Thouless phase is obtained for several values of the transverse field down to the quantum critical…

Statistical Mechanics · Physics 2020-06-30 Stephan Humeniuk

The earlier times of evolution of a magnetic system contain more information than we can imagine. Capturing correlation matrices G of different time evolutions of a simple testbed spin system, as the Ising model, we analyzed the density of…

Statistical Mechanics · Physics 2022-06-03 Roberto da Silva

A model is studied for the theoretical description of nanoscale magnetic films with high perpendicular anisotropy. In the model the magnetic film is described in terms of single domain magnetic grains with Ising-like behavior, interacting…

Statistical Mechanics · Physics 2016-08-31 U. Nowak

Dynamics of ordering in Ising model, following quench to zero temperature, have been studied via Glauber spin-flip Monte Carlo simulations in space dimensions $d=2$ and $3$. One of the primary objectives has been to understand phenomena…

Statistical Mechanics · Physics 2016-05-03 Saikat Chakraborty , Subir K. Das

We consider the $N$-component Ginzburg-Landau model in the large $N$ limit, the system being embedded in an external constant magnetic field and confined between two parallel planes a distance $L$ apart from one another. On physical…

Superconductivity · Physics 2009-11-10 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Magnetic properties of the 1D mixed spin-1/2 and spin-S (S >1/2) transverse Ising model in the presence of an external longitudinal magnetic field are calculated exactly by the use of the generalised decoration-iteration mapping…

Statistical Mechanics · Physics 2007-05-23 Jozef Strecka , Hana Cencarikova , Michal Jascur

Unconventional magnetism represents a paradigm shift in condensed matter physics, effectively bridging the fast, high-density advantages of antiferromagnets with the facile read-write capability of ferromagnets. Recent developments in spin…

Materials Science · Physics 2026-03-31 Xiaobing Chen , Weizhao Chen , Qihang Liu

The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the…

Condensed Matter · Physics 2009-10-28 J. Kisker , L. Santen , M. Schreckenberg , H. Rieger

A rate-independent model for the quasistatic evolution of a magnetoelastic thin film is advanced and analyzed. Starting from the three-dimensional setting, we present an evolutionary $\Gamma$-convergence argument in order to pass to the…

Analysis of PDEs · Mathematics 2014-05-28 Martin Kružík , Ulisse Stefanelli , Chiara Zanini

Pinning magnetization in a ferromagnetic thin film is commonly realized through exchange biasing with an adjacent antiferromagnet. Field-cooling from above the N\'{e}el temperature is a reliable yet slow re-pinning method in exchange-biased…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Floris J. F. van Riel , Andries B. M. Droste , Bert Koopmans , Diana C. Leitao

We demonstrate that the reorientation transition from out-of-plane to in-plane magnetization with decreasing temperature as observed experimentally in Ni-films on Cu(001) can be explained on a microscopic basis. Using a combination of mean…

Statistical Mechanics · Physics 2009-10-30 A. Hucht , K. D. Usadel

The influence of surface defects on the critical properties of magnetic films is studied for Ising models with nearest-neighbour ferromagnetic couplings. The defects include one or two adjacent lines of additional atoms and a step on the…

Condensed Matter · Physics 2016-08-31 M. -C. Chung , M. Kaulke , I. Peschel , M. Pleimling , W. Selke

We study field-induced phase transitions in the two-dimensional dipolar Ising ferromagnet with a specific ratio between the exchange and dipolar constants, $\delta=1$, which exhibits a stripe-ordered phase with the width of one lattice unit…

Statistical Mechanics · Physics 2018-12-26 Hisato Komatsu , Yoshihiko Nonomura , Masamichi Nishino