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The discrete Gaussian model for the surface of a crystal deposited on a disordered substrate is studied by Monte Carlo simulations. A continuous transition is found from a phase with a thermally-induced roughness to a glassy one in which…

Condensed Matter · Physics 2009-10-22 D. Cule , Y. Shapir

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low…

Disordered Systems and Neural Networks · Physics 2020-06-24 J. J. Ruiz-Lorenzo

The properties of discrete two-dimensional spin glasses depend strongly on the way the zero-temperature limit is taken. We discuss this phenomenon in the context of the Migdal-Kadanoff renormalization group. We see, in particular, how these…

Disordered Systems and Neural Networks · Physics 2015-03-19 Thomas Jorg , Florent Krzakala

We study the phase distribution and its dynamics in spin-orbit coupled two component ultracold Bosons for finite size system. Using an inhomogeneous meanfield analysis we demonstrate how phase distribution evolves as we tune the spin-orbit…

Strongly Correlated Electrons · Physics 2014-05-27 Anirban Dutta , Saptarshi Mandal

The one-dimensional long-range Ising spin glass provides useful insights into the properties of finite dimensional spin glasses with short-range interactions. The defect energy renormalization group equations derived for it by Kotliar,…

Disordered Systems and Neural Networks · Physics 2013-05-29 M. A. Moore

The evidently supersymmetric four-dimensional Wess-Zumino model with quenched disorder is considered at the one-loop level. The infrared fixed points of a beta-function form the moduli space $M = RP^2$ where two types of phases were found:…

High Energy Physics - Theory · Physics 2014-11-18 Sergei Gukov

The influence of a random environment on the dynamics of a fluctuating rough surface is investigated using a field theoretic renormalization group. The environment motion is modelled by the stochastic Navier--Stokes equation, which includes…

Statistical Mechanics · Physics 2025-02-18 N. V. Antonov , A. A. Babakin , N. M. Gulitskiy , P. I. Kakin

The topological order of single-crystal Bi and its surface states on the (111) surface are studied in detail based on empirical tight-binding (TB) calculations. New TB parameters are presented that are used to calculate the surface states…

Materials Science · Physics 2016-12-21 Yoshiyuki Ohtsubo , Shin-ichi Kimura

We study statistical properties of 3D classical spin glass layer of certain width and infinite length. The 3D spin glass is represented as an ensemble of disordered 1D spatial spin-chains (SSC) where interactions are random between…

Statistical Mechanics · Physics 2011-07-13 A. S. Gevorkyan , H. G. Abajyan , E. A. Ayryan

Phase diagrams as a function of anisotropy $D$ and magnetic field $H$ are obtained for discommensurations and surface states for an antiferromagnet in which $H$ is parallel to the easy axis, by modeling it using the ground states of a…

Statistical Mechanics · Physics 2009-10-31 Cristian Micheletti , Robert B. Griffiths , Julia M. Yeomans

Spin-glasses are natural Gibbs distributions that have been studied in Theoretical CS for many decades. Recently, they have been gaining attention from the community as they emerge naturally in neural computation and learning, network…

Discrete Mathematics · Computer Science 2026-03-25 Charilaos Efthymiou , Kostas Zampetakis

We review the depinning and nonequilibrium phases of collectively interacting particle systems driven over random or periodic substrates. This type of system is relevant to vortices in type-II superconductors, sliding charge density waves,…

Superconductivity · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

We analyze the universal features of the critical behaviour of frustrated spin systems with noncollinear order. By means of the field theoretical renormalization group approach, we study the 3d model of a frustrated magnet and obtain…

Statistical Mechanics · Physics 2009-11-10 Yurij Holovatch , Dmytro Ivaneyko , Bertrand Delamotte

Random quenched dilution of the triangular-lattice antiferromagnetic Ising model locally relieves frustration, leading to ordering phenomena. We have studied this system, under such dilution of one sublattice, using hard-spin mean-field…

Statistical Mechanics · Physics 2009-10-31 Huseyin Kaya , A. Nihat Berker

It is widely expected that systems which fully thermalize are chaotic in the sense of exhibiting random-matrix statistics of their energy level spacings, whereas integrable systems exhibit Poissonian statistics. In this paper, we…

Statistical Mechanics · Physics 2022-09-21 Michael Winer , Richard Barney , Christopher L. Baldwin , Victor Galitski , Brian Swingle

We study phase transitions and the nature of order in a class of classical generalized $O(N)$ nonlinear $\sigma$-models (NLS) constructed by minimally coupling pure NLS with additional degrees of freedom in the form of (i) Ising…

Statistical Mechanics · Physics 2015-12-23 Tirthankar Banerjee , Niladri Sarkar , Abhik Basu

Broken-symmetry-induced order parameters account for many phenomena in condensed matter physics. For spin glasses, such a framework dictates its theoretical construction, whereas experiments have only established dynamical behaviors such as…

Disordered Systems and Neural Networks · Physics 2026-05-25 Margarita G. Dronova , Feng Ye , Zachary J. Morgan , Yishu Wang , Yejun Feng

In this paper, we use a nonperturbative renormalization group approach to construct the dynamical phase space of a quantum spin glass in the large $N$ limit. The disordered Hamiltonian is of ``$2 + p$" type, and we perform a coarse-graining…

Disordered Systems and Neural Networks · Physics 2025-03-18 Ixandra Achitouv , Vincent Lahoche , Dine Ousmane Samary , Parham Radpay

The phase diagram of the spin-1/2 Heisenberg antiferromagnet on an anisotropic triangular lattice of weakly coupled chains, a model relevant to Cs2CuCl4, is investigated using a renormalization group analysis, which includes marginal…

Strongly Correlated Electrons · Physics 2011-11-22 Sedigh Ghamari , Catherine Kallin , Sung-Sik Lee , Erik S. Sørensen

Using tempered Monte Carlo simulations, we study the the spin-glass phase of dense packings of Ising dipoles pointing along random axes. We consider systems of L^3 dipoles (a) placed on the sites of a simple cubic lattice with lattice…

Statistical Mechanics · Physics 2017-09-13 J. J. Alonso , B. Alles