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The motion of a particle in a correlated random potential under the influence of a driving force is investigated in mean field theory. The correlations of the disorder are characterized by a short distance cutoff and a power law decay with…

Condensed Matter · Physics 2009-10-28 Heinz Horner

We study the dynamical properties of the canonical ordered phase of the Hamiltonian mean-field (HMF) model, in which $N$ particles, globally-coupled via pairwise attractive interactions, form a rotating cluster. Using a combination of…

For arbitrary Ising-like models of any dimension and Hamiltonians with a finite support with all possible multispin interactions and boundary conditions with a shift, the exact value of the free energy in the thermodynamic limit is obtained…

Statistical Mechanics · Physics 2021-03-16 Pavel V. Khrapov

We examine the localization properties of the three-dimensional (3D) Anderson Hamiltonian with off-diagonal disorder using the transfer-matrix method (TMM) and finite-size scaling (FSS). The nearest-neighbor hopping elements are chosen…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. Cain , R. A. Roemer , M. Schreiber

In this study, we introduce a minimal model for a collection of polar self-propelled particles (SPPs) on a two-dimensional substrate where each particle has a different ability to interact with its neighbours. The SPPs interact through a…

Statistical Mechanics · Physics 2021-02-02 Jay Prakash Singh , Sudipta Pattanayak , Shradha Mishra

In this work we explore magnetic response of interacting electrons in a spatially non-uniform disordered system, where impurities are introduced in one sector of the geometry keeping the other one free. The interaction among the electrons…

Mesoscale and Nanoscale Physics · Physics 2021-12-02 Arpita Koley , Santanu K. Maiti

We develop a self-contained theoretical framework that classifies the topological phases and critical phenomena of classical pyrochlore magnets with arbitrary spin $S$, subject to competing exchange and single-ion anisotropies. In the…

Strongly Correlated Electrons · Physics 2026-04-07 Sena Watanabe , Yukitoshi Motome , Haruki Watanabe

Using a stochastic quantum approach, we study thermoelectric transport phenomena at low temperatures in disordered electrical systems connected to external baths. We discuss three different models of one-dimensional disordered electrons,…

Disordered Systems and Neural Networks · Physics 2015-05-14 Dibyendu Roy , Massimiliano Di Ventra

A new variational method for studying the equilibrium states of an interacting particles system has been proposed. The statistical description of the system is realized by means of a density matrix. This method is used for description of…

General Physics · Physics 2014-12-19 Boris Bondarev

The ferromagnetic phase diagram of the periodic Anderson model is calculated using dynamical mean-field theory in combination with the modified perturbation theory. Concentrating on the intermediate valence regime, the phase boundaries are…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , W. Nolting

We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in d=1,2,3 and in mean-field. We find that in all…

Disordered Systems and Neural Networks · Physics 2007-05-23 Florent Krzakala , Jean-Philippe Bouchaud

We present results of a numerical mean field treatment of interacting spins and carriers in doped diluted magnetic semiconductors, which takes into account the positional disorder present in these alloy systems. Disorder is found to enhance…

Disordered Systems and Neural Networks · Physics 2009-10-31 Mona Berciu , R. N. Bhatt

We study the nearest-neighbor spin-ice model subjected to a magnetic field applied along the global [111] and [110] directions, focusing on the role of sample geometry in stabilizing topological phase transitions. While no Kasteleyn…

Statistical Mechanics · Physics 2026-04-30 R. A. Borzi , E. S. Loscar , S. A. Grigera

We present a comprehensive study of Vicsek-style self-propelled particle models in two and three space dimensions. The onset of collective motion in such stochastic models with only local alignment interactions is studied in detail and…

Statistical Mechanics · Physics 2009-11-13 Hugues Chaté , Francesco Ginelli , Guillaume Grégoire , Franck Raynaud

This paper is a part of an ongoing study on the diamagnetic behavior of a 3-dimensional quantum gas of non-interacting charged particles subjected to an external uniform magnetic field together with a random electric potential. We prove the…

Mathematical Physics · Physics 2015-06-03 Philippe Briet , Baptiste Savoie

We study the spin transport properties of some disordered spin chains with a special focus on the distribution of the frequency-dependent spin conductivity. In the cases of interest here, the systems are governed by an effectively infinite…

Disordered Systems and Neural Networks · Physics 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

We derive thermodynamically consistent models for diblock copolymer solutions coupled with the electric and magnetic field, respectively. These models satisfy the second law of thermodynamics and therefore are therefore thermodynamically…

Numerical Analysis · Mathematics 2021-03-30 Xiaowen Shen , Qi Wang

The Heisenberg antiferromagnet on the kagome lattice is an archetypal instance of how large ground state degeneracies arise, and how they may get resolved by thermal and quantum fluctuations. Augmenting the Heisenberg model by chiral spin…

Strongly Correlated Electrons · Physics 2022-10-11 Jackson Pitts , Finn Lasse Buessen , Roderich Moessner , Simon Trebst , Kirill Shtengel

We investigate the properties of the ground state of strong coupling lattice QCD at finite density. Our starting point is the effective Hamiltonian for color singlet objects, which looks at lowest order as an antiferromagnet, and describes…

High Energy Physics - Lattice · Physics 2009-11-10 Barak Bringoltz

We study the magnetic structure of the ground state of an itinerant Fermi system of spin-\nicefrac{1}{2} particles with magnetic dipole-dipole interactions. We show that, quite generally, the spin state of particles depend on its momentum,…

Quantum Gases · Physics 2010-07-02 Benjamin M. Fregoso , Eduardo Fradkin