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We study the dynamics of a spin-1/2 XXZ chain which is initially prepared in a domain-wall state. We compare the results of time-dependent Density Matrix Renormalization Group simulations with those of an effective description in terms of a…

Statistical Mechanics · Physics 2019-08-30 Grégoire Misguich , Nicolas Pavloff , Vincent Pasquier

We present a theory of phase transition in quantum critical paraelectrics in presence of quenched random-Tc disorder using replica trick. The effects of disorder induced locally ordered regions and their slow dynamics are included by…

Disordered Systems and Neural Networks · Physics 2014-09-02 Nabyendu Das

The time evolution of one- and two-dimensional discrete-time quantum walk with increase in disorder is studied. We use spatial, temporal and spatio-temporal broken periodicity of the unitary evolution as disorder to mimic the effect of…

Quantum Physics · Physics 2013-05-17 C. M. Chandrashekar

The effects of an aperiodic order or a random disorder on phase transitions in statistical mechanics are discussed. A heuristic relevance criterion based on scaling arguments as well as specific results for Ising models with random disorder…

Statistical Mechanics · Physics 2007-05-23 Uwe Grimm

The effects of quenched disorder on the overdamped motion of a driven particle on a periodic, asymmetric potential is studied. While for the unperturbed potential the transport is due to a regular drift, the quenched disorder induces a…

Soft Condensed Matter · Physics 2009-10-31 M. N. Popescu , C. M. Arizmendi , A. L. Salas-Brito , F. Family

The ground state of the uniform antiferromagnetic spin-1/2 Heisenberg chain can be viewed as a strongly fluctuating liquid of valence bonds, while in disordered chains these bonds lock into random singlet states on long length scales. We…

Disordered Systems and Neural Networks · Physics 2011-10-18 Huan Tran , N. E. Bonesteel

The magnetic behaviors of a spin-1/2 alternating Heisenberg antiferromagnetic chain in a staggered transverse magnetic field is studied by means of the density-matrix renormalization group method and Jordan-Wigner transformation. Quantum…

Strongly Correlated Electrons · Physics 2009-04-07 Guang-Qiang Zhong , Shou-Shu Gong , Qing-Rong Zheng , Gang Su

We study the bi-dimensional $q$-Potts model with long-range bond correlated disorder. Similarly to [C. Chatelain, Phys. Rev. E 89, 032105], we implement a disorder bimodal distribution by coupling the Potts model to auxiliary…

Statistical Mechanics · Physics 2023-04-19 Francesco Chippari , Marco Picco , Raoul Santachiara

We study disordered antiferromagnetic spin-1/2 chains with nearest- and further-neighbor interactions using the real-space renormalization-group method. We find that the system supports two different phases, depending on the ratio of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Eddy Yusuf , Kun Yang

We conjecture that non-equilibrium boundary conditions generically trigger long range order in non-equilibrium steady states of locally interacting quantum chains. Our result is based on large scale density matrix renormalization group…

Statistical Mechanics · Physics 2010-08-11 Tomaz Prosen , Marko Znidaric

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 study the renormalization group flow in general quantum field theories with quenched disorder, focusing on random quantum critical points. We show that in disorder-averaged correlation functions the flow mixes local and non-local…

Strongly Correlated Electrons · Physics 2018-08-22 Vladimir Narovlansky , Ofer Aharony

In this communication, we numerically studied disordered quantum transport in a quantum anomalous Hall insulator-superconductor junction based on the effective edge model approach. In particular, we focus on the parameter regime with the…

Superconductivity · Physics 2020-10-21 Jian-Xiao Zhang , Chao-Xing Liu

We numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequilibrium phase transition from a plastic disordered flowing…

Statistical Mechanics · Physics 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

A Weyl semimetal denotes an electronic phase of solids in which two bands cross linearly. In this paper we study the effect of a spatially correlated disorder on such a phase. Using a renormalization group analysis, we show that in three…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

We consider the continuous time version of the Random Walk Pinning Model (RWPM), studied in [5,6,7]. Given a fixed realization of a random walk Y$ on Z^d with jump rate rho (that plays the role of the random medium), we modify the law of a…

Mathematical Physics · Physics 2015-05-19 Quentin Berger , Hubert Lacoin

Short-time dynamics of many-body systems may exhibit non-analytical behavior of the systems' properties at particular times, thus dubbed dynamical quantum phase transition. Simulations showed that in the presence of disorder new critical…

Statistical Mechanics · Physics 2023-03-14 O. N. Kuliashov , A. A. Markov , A. N. Rubtsov

We study the phases and phase transitions of a disordered one-dimensional quantum $q$-state clock Hamiltonian using large-scale Monte Carlo simulations. Making contact with earlier results, we confirm that the clean, translational invariant…

Disordered Systems and Neural Networks · Physics 2025-04-03 Vishnu Pulloor Kuttanikkad , Gaurav Khairnar , Rajesh Narayanan , Thomas Vojta

The real-time dynamics of equal-site correlation functions is studied for one-dimensional spin models with quenched disorder. Focusing on infinite temperature, we present a comparison between the dynamics of models with different quantum…

Statistical Mechanics · Physics 2020-02-07 Jonas Richter , Dennis Schubert , Robin Steinigeweg

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande