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We consider $n$-component fixed-length order parameter interacting with a weak random field in $d=1,2,3$ dimensions. Relaxation from the initially ordered state and spin-spin correlation functions have been studied on lattices containing…

Statistical Mechanics · Physics 2015-06-18 Thomas C. Proctor , Dmitry A. Garanin , Eugene M. Chudnovsky

A dimer mean-field model for the Ising spin-glass is presented. Despite its simplicity it captures some of the essential features of the spin-glass physics. The distribution of the single-spin magnetization is determined from a…

Disordered Systems and Neural Networks · Physics 2009-12-16 Yonatan Dubi , Massimiliano Di Ventra

We investigate thermodynamic phase transitions of the joint presence of spin glass (SG) and random field (RF) using a random graph model that allows us to deal with the quenched disorder. Therefore, the connectivity becomes a controllable…

Disordered Systems and Neural Networks · Physics 2021-02-24 R. Erichsen , A. Silveira , S. G. Magalhaes

We study how the ground state of the two-dimensional Ising spin glass with Gaussian interactions in zero magnetic field changes on altering the boundary conditions. The probability that relative spin orientations change in a region far from…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matteo Palassini , A. P. Young

Typical features of glass phenomenology such as the Vogel-Fulcher law, the Kauzmann paradox and the Adam-Gibbs relationship are shown to follow from the recently discovered mapping of glasses to Ising spin glasses in a magnetic field. There…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Tarzia , M. A. Moore

An appropriate model for the random energy landscape in organic glasses is a spatially correlated Gaussian field, generated by randomly located and oriented dipoles and quadrupoles. Correlation properties of energetic disorder directly…

Materials Science · Physics 2013-03-21 S. V. Novikov

Spontaneous symmetry breaking phenomena in the transverse field mixed $p$-spin glass model in finite dimensions are studied with Nishimori's gauge theory. Useful identities in the gauge theory enable us to study $\mathbb Z_2$-symmetry…

Mathematical Physics · Physics 2023-06-07 Chigak Itoi , Yoshinori Sakamoto

Recently, it has been discovered that in contrast to expectations the low-temperature dielectric properties of some multi-component glasses depend strongly on magnetic fields. In particular, the low-frequency dielectric susceptibility and…

Disordered Systems and Neural Networks · Physics 2009-11-07 C. Enss , S. Ludwig

We study the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities embedded in $p$-doped transition metal dichalcogenide triangular flakes. The role of underlying symmetries is exposed by analyzing the interaction as a…

Mesoscale and Nanoscale Physics · Physics 2016-12-26 Oscar Ávalos-Ovando , Diego Mastrogiuseppe , Sergio E. Ulloa

Almost identical thermal properties of type-I clathrate compounds to those of glasses follow naturally from the consideration that off-centered guest ions possess electric dipole moments. Local fields from neighbor dipoles create many…

Materials Science · Physics 2009-11-13 Tsuneyoshi Nakayama , Eiji Kaneshita

We study the interplay of superfluidity and glassy ordering of hard core bosons with random, frustrating interactions. This is motivated by bosonic systems such as amorphous supersolid, disordered superconductors with preformed pairs, and…

Disordered Systems and Neural Networks · Physics 2013-05-30 Xiaoquan Yu , Markus Mueller

The field theory of a short range spin glass with Gaussian random interactions, is considered near the upper critical dimension six. In the glassy phase, replica symmetry breaking is accompanied with massless Goldstone modes, generated by…

Condensed Matter · Physics 2009-11-07 E. Brézin , C. De Dominicis

The spin glasses are disordered and frustrated magnetic systems. They show aging phenomena which are also a characteristic feature of structural glasses, polymers, dielectrics, colloids, etc. Under a strong enough magnetic field variation,…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Dupuis , E. Vincent , F. Bert , D. Herisson , J. Hammann , M. Ocio

We study the influence of spinless impurities on a frustrated magnet featuring a spin-density wave (stripe) phase by means of Monte Carlo simulations. We demonstrate that the interplay between the impurities and an order parameter that…

Disordered Systems and Neural Networks · Physics 2018-08-08 Shashikant Singh Kunwar , Arnab Sen , Thomas Vojta , Rajesh Narayanan

Magnetic impurities play an important role in many spintronics-related materials. Motivated by this fact, we study the anomalous Hall effect in the presence of magnetic impurities, focusing on two-dimensional electron systems with Rashba…

Materials Science · Physics 2009-11-13 Tamara S. Nunner , Gergely Zarand , Felix von Oppen

We investigate the combined effects of magnetic impurities and applied magnetic field on the interference contribution to the conductance of disordered metals. We show that in a metal with weak spin-orbit interaction, the polarization of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. G. Vavilov , L. I. Glazman

We study quantum Hall ferromagnets in the presence of a random electrostatic impurity potential, within the framework of a classical non-linear sigma model. We discuss the behaviour of the system using a heuristic picture for the…

Strongly Correlated Electrons · Physics 2010-02-25 D. K. K. Lee , S. Rapsch , J. T. Chalker

Spin and chirality orderings of the three-dimensional Heisenberg spin glass under magnetic fields are studied by large-scale equilibrium Monte Carlo simulations. It is found that the chiral-glass transition and the chiral-glass ordered…

Disordered Systems and Neural Networks · Physics 2009-11-07 Daisuke Imagawa , Hikaru Kawamura

It is well established that the ferromagnetic phase remains stable under random magnetic fields in three and higher dimensions for the ferromagnetic Ising model and the Edwards-Anderson model of spin glasses without correlation in the…

Disordered Systems and Neural Networks · Physics 2025-04-11 Hidetoshi Nishimori

The static and dynamic properties of ring polymers in concentrated solutions remains one of the last deep unsolved questions in Polymer Physics. At the same time, the nature of the glass transition in polymeric systems is also not well…

Soft Condensed Matter · Physics 2016-10-25 Davide Michieletto , Matthew S. Turner
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