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The effect of quenched disorder on the low-energy and low-temperature properties of various two- and three-dimensional Heisenberg models is studied by a numerical strong disorder renormalization group method. For strong enough disorder we…

Disordered Systems and Neural Networks · Physics 2009-11-07 Y. -C. Lin , R. Mélin , H. Rieger , F. Iglói

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

Strongly Correlated Electrons · Physics 2022-12-01 Qicheng Tang , W. Zhu

We study two models having an infinite-disorder critical point --- the zero temperature random transverse-field Ising model and the random contact process --- on a star-like network composed of $M$ semi-infinite chains connected to a common…

Disordered Systems and Neural Networks · Physics 2015-06-19 Róbert Juhász

We study, using Monte Carlo simulations, the steady state properties of a system of particles interacting via hard core exclusion and moving in a discrete flashing disordered ratchet potential. Quenched disorder is introduced by breaking…

Statistical Mechanics · Physics 2015-10-28 Jim Chacko , Goutam Tripathy

Here, the entanglement entropy is calculated at the quantum multicritical point of the random transverse-field Ising model (RTIM). We use an efficient implementation of the strong disorder renormalization group method in two and three…

Disordered Systems and Neural Networks · Physics 2024-04-22 István Kovács

Jamming transition is traditionally regarded as a geometric transition governed by static contact networks. Recently, dynamic phase transitions of athermal particles under periodic shearing provide a new lens on this problem, leading to a…

Statistical Mechanics · Physics 2026-04-24 He-Da Wang , Bo Wang , Qun-Li Lei , Yu-Qiang Ma

Dynamical quantum phase transitions (DQPTs) at critical times appear as non-analyticities during nonequilibrium quantum real-time evolution. Although there is evidence for a close relationship between DQPTs and equilibrium phase…

Statistical Mechanics · Physics 2015-10-06 Markus Heyl

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

Statistical Mechanics · Physics 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

We study spin density wave quantum critical points in two dimensional metals with a quenched disorder potential coupling to the electron density. Adopting an $\epsilon$-expansion around three spatial dimensions, where both disorder and the…

Strongly Correlated Electrons · Physics 2021-06-30 Johannes Halbinger , Matthias Punk

We investigate the influence of quenched disorder on the steady states of driven systems of the elastic interface with non-local hydrodynamic interactions. The generalized elastic model (GEM), which has been used to characterize numerous…

Statistical Mechanics · Physics 2023-08-31 Mohsen Ghasemi Nezhadhaghighi

Although resetting has widespread applicability, applying it to the dynamics in the presence of spatial quenched disorder, which is essential in many physical problems, is challenging. In this study, we consider a well-known one-dimensional…

Statistical Mechanics · Physics 2026-04-06 Riya Verma , Binayak Banerjee , Shamik Gupta , Saroj Kumar Nandi

We consider a general model of a disordered copolymer with adsorption. This includes, as particular cases, a generalization of the copolymer at a selective interface introduced by Garel et al. [Europhys. Lett. 8 (1989) 9--13], pinning and…

Probability · Mathematics 2008-08-22 Fabio Lucio Toninelli

We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice…

Statistical Mechanics · Physics 2018-06-26 Erol Vatansever , Nikolaos G. Fytas

We study quenched disorder in strongly correlated systems via holography, focusing on the thermodynamic effects of mild electric disorder. Disorder is introduced through a random potential which is assumed to self-average on macroscopic…

High Energy Physics - Theory · Physics 2015-12-23 Allan Adams , Sho Yaida

We study the equilibrium properties of an Ising model on a disordered random network where the disorder can be quenched or annealed. The network consists of four-fold coordinated sites connected via variable length one-dimensional chains.…

Statistical Mechanics · Physics 2015-06-22 Abdul N. Malmi-Kakkada , Oriol T. Valls , Chandan Dasgupta

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

Disordered Systems and Neural Networks · Physics 2015-05-13 Gil Refael , Joel E. Moore

We introduce an exact replica method for the study of critical systems with quenched bond randomness in two dimensions. For the $q$-state Potts model we show that a line of renormalization group fixed points interpolates from weak to strong…

Statistical Mechanics · Physics 2017-06-28 Gesualdo Delfino

We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the survival…

Statistical Mechanics · Physics 2018-03-07 E. J. Torres-Herrera , Antonio M. García-García , Lea F. Santos

This article investigates the effect for random pinning models of long range power-law decaying correlations in the environment. For a particular type of environment based on a renewal construction, we are able to sharply describe the phase…

Probability · Mathematics 2025-08-15 Quentin Berger , Hubert Lacoin

The contact process is a paradigmatic classical stochastic system displaying critical behavior even in one dimension. It features a non-equilibrium phase transition into an absorbing state that has been widely investigated and shown to…

Statistical Mechanics · Physics 2019-09-11 Federico Carollo , Edward Gillman , Hendrik Weimer , Igor Lesanovsky