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We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First we recover the known properties of the traditional model with…

Disordered Systems and Neural Networks · Physics 2025-03-25 Ferenc Iglói , Yu-Cheng Lin

In these lectures, we discuss the influence of weak quenched disorder on the critical behavior in condensed matter and give a brief review of available experimental and theoretical results as well as results of MC simulations of these…

Disordered Systems and Neural Networks · Physics 2016-08-31 Yu. Holovatch , V. Blavats'ka , M. Dudka , C. von Ferber , R. Folk , T. Yavors'kii

We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical $N$-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the…

Statistical Mechanics · Physics 2020-09-22 Sudip Mukherjee , Abhik Basu

Using high-precision Monte Carlo simulations and finite-size scaling we study the effect of quenched disorder in the exchange couplings on the Blume-Capel model on the square lattice. The first-order transition for large crystal-field…

Disordered Systems and Neural Networks · Physics 2018-04-18 N. G. Fytas , J. Zierenberg , P. E. Theodorakis , M. Weigel , W. Janke , A. Malakis

We study the effects of quenched extended impurities on nonequilibrium phase transitions in the directed percolation universality class. We show that these impurities have a dramatic effect: they completely destroy the sharp phase…

Statistical Mechanics · Physics 2009-11-10 Thomas Vojta

We study the nonequilibrium phase transition in the one-dimensional contact process with quenched spatial disorder by means of large-scale Monte-Carlo simulations for times up to $10^9$ and system sizes up to $10^7$ sites. In agreement with…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta , Mark Dickison

We investigate the critical behavior of systems exhibiting a continuous absorbing phase transition in the presence of a conserved field coupled to the order parameter. The results obtained point out the existence of a new universality class…

Statistical Mechanics · Physics 2009-10-31 Michela Rossi , Romualdo Pastor-Satorras , Alessandro Vespignani

We present a study of the influence of different types of disorder on systems in the Ising universality class by employing both a dynamical field theory approach and extensive Monte Carlo simulations. We reproduce some well known results…

Condensed Matter · Physics 2009-10-31 Juan J. Alonso , Miguel A. Munoz

We present a field theoretic renormalization group study for the critical behaviour of a uniformly driven diffusive system with quenched disorder, which is modelled by different kinds of potential barriers between sites. Due to their…

Statistical Mechanics · Physics 2015-06-25 V. Becker , H. K. Janssen

We study several dynamical properties of a recently proposed implementation of the quantum transverse-field Ising chain in the framework of circuit QED. Particular emphasis is placed on the effects of disorder on the nonequilibrium behavior…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Oliver Viehmann , Jan von Delft , Florian Marquardt

We investigate the effect of quenched bond-disorder on the anisotropic spin-1/2 (XXZ) chain as a model for disorder induced quantum phase transitions. We find non-universal behavior of the average correlation functions for weak disorder,…

Disordered Systems and Neural Networks · Physics 2009-11-07 K. Hamacher , J. Stolze , W. Wenzel

We study the influence of quenched disorder on quantum phase transitions in systems with over-damped dynamics. For Ising order parameter symmetry disorder destroys the sharp phase transition by rounding because a static order parameter can…

Strongly Correlated Electrons · Physics 2009-11-07 Thomas Vojta

By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high…

Disordered Systems and Neural Networks · Physics 2016-06-07 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

Systems with absorbing (trapped) states may exhibit a nonequilibrium phase transition from a noise-free inactive phase into an ever-lasting active phase. We briefly review the absorbing critical phenomena and universality classes, and…

Statistical Mechanics · Physics 2009-11-13 Su-Chan Park , Hyunggyu Park

Entanglement features of the ground state of disordered quantum matter are often captured by an infinite randomness fixed point that, for a variety of models, is the random singlet phase. Although a copious number of studies covers…

Statistical Mechanics · Physics 2020-03-04 Xhek Turkeshi , Paola Ruggiero , Pasquale Calabrese

The quantum critical behavior of an interacting, non-relativistic Bose theory with quenched disorder randomly distributed in space is investigated. The renormalization group is carried out in a double $\epsilon$ expansion, where one…

Condensed Matter · Physics 2009-10-28 Adriaan M. J. Schakel

We examine the influence of quenched disorder on the superconductor-metal transition, as described by a theory of overdamped Cooper pairs which repel each other. The self-consistent pairing eigenmodes of a quasi-one dimensional wire are…

Disordered Systems and Neural Networks · Physics 2008-07-18 Adrian Del Maestro , Bernd Rosenow , Markus Mueller , Subir Sachdev

We study the critical properties of three dimensional frustrated magnets, diluted with non-magnetic impurities. We show that these systems exhibit a second order phase transition, corresponding to a new universality class. In the pure case,…

Statistical Mechanics · Physics 2007-05-23 Matthieu Tissier

Quenched disorder affects significantly the behavior of phase transitions. The Imry-Ma-Aizenman-Wehr-Berker argument prohibits first-order or discontinuous transitions and their concomitant phase coexistence in low-dimensional equilibrium…

Statistical Mechanics · Physics 2014-02-07 Paula Villa Martín , Juan A. Bonachela , Miguel A. Muñoz

Discontinuous phase transitions occurs to be particularly interesting from a social point of view because of their relationship to social hysteresis and critical mass. In this paper, we show that the replacement of a time-varying (annealed,…

Physics and Society · Physics 2022-08-31 Bartłomiej Nowak , Katarzyna Sznajd-Weron