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Strongly interacting quantum systems subject to quenched disorder exhibit intriguing phenomena such as glassiness and many-body localization. Theoretical studies have mainly focused on disorder in the form of random potentials, while many…

Quantum Physics · Physics 2022-11-22 Adrian Braemer , Titus Franz , Matthias Weidemüller , Martin Gärttner

We demonstrate that nonlinearity plays a constructive role in supporting the robustness of dynamical localization in a model which is discrete, in one dimension and continuous in the orthogonal one. In the linear regime, time-periodic…

Pattern Formation and Solitons · Physics 2018-06-27 R. Driben , V. V. Konotop , B. A. Malomed , T. Meier , A. V. Yulin

Very diluted Bose gas placed into a disordered environment falls into a fragmented localized state. At some critical density the repulsion between particles overcomes the disorder. The gas transits into a coherent superfluid state. In this…

Other Condensed Matter · Physics 2009-06-18 G. M. Falco , T. Nattermann , V. L. Pokrovsky

We study the statistical mechanics and dynamics of crystalline films with a fixed internal connectivity on a random substrate. Defect free triangular lattices exhibit a sharp transition to a low temperature glassy phase with anomalous…

Condensed Matter · Physics 2009-10-28 Carlo Carraro , David R. Nelson

The electric conductivities in glass phases of three-dimensional (3D) granular superconductors in magnetic fields are examined based on a quantum disordered Josephson-junction array. A correct inclusion of the Ohmic dissipative dynamics…

Superconductivity · Physics 2009-11-11 Ryusuke Ikeda

As liquids approach the glass transition temperature, dynamical heterogeneity emerges as a crucial universal feature of their behavior. Dynamic facilitation, where local motion triggers further motion nearby, plays a major role in this…

The dynamics of two-dimensional fluids confined within a random matrix of obstacles is investigated using both colloidal model experiments and molecular dynamics simulations. By varying fluid and matrix area fractions in the experiment, we…

We examine the stability of marginally Anderson localized phase transitions between localized phases to the addition of many-body interactions, focusing in particular on the spin-glass to paramagnet transition in a disordered transverse…

Disordered Systems and Neural Networks · Physics 2020-08-21 Sanjay Moudgalya , David A. Huse , Vedika Khemani

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical…

Disordered Systems and Neural Networks · Physics 2015-03-17 Jacob J. Krich , Alán Aspuru-Guzik

A theory for surface transitions in the presence of a disordered pinning potential is presented. Arbitrary disorder correlations are treated in the framework of a dynamical functional renormalization group. The roughening transition, where…

Condensed Matter · Physics 2009-10-28 Stefan Scheidl

In equilibrium, disorder conspires with topological defects to redefine the ordered states of matter in systems as diverse as crystals, superconductors and liquid crystals. Far from equilibrium, however, the consequences of quenched…

Soft Condensed Matter · Physics 2021-03-09 Amélie Chardac , Suraj Shankar , M. Cristina Marchetti , Denis Bartolo

The "glassy" superconducting transition at high magnetic fields can be induced by columnar disorder. A model is proposed in which the thermodynamics of Bose condensation of Cooper pairs into the lowest Landau-level eigenstate of the random…

Condensed Matter · Physics 2009-10-22 Zlatko Tesanovic , Igor F. Herbut

Observations of center of mass dynamics offer a straightforward method to identify strongly interacting quantum phases of atoms placed in optical lattices. We theoretically study the dynamics of states derived from the disordered…

Quantum Gases · Physics 2017-05-25 Mi Yan , Hoi-Yin Hui , V. W. Scarola

The extended Bose-Hubbard model subjected to a disordered potential is predicted to display a rich phase diagram. In the case of uniform random disorder one finds two insulating quantum phases -- the Mott-insulator and the Haldane insulator…

Quantum Gases · Physics 2015-06-12 X. Deng , R. Citro , E. Orignac , A. Minguzzi , L. Santos

We investigate a $d$-dimensional model ($d$ = 2,3) for sound waves in a disordered environment, in which the local fluctuations of the elastic modulus are spatially correlated with a certain correlation length. The model is solved…

Disordered Systems and Neural Networks · Physics 2015-05-13 W. Schirmacher , B. Schmid , C. Tomaras , G. Viliani , G. Baldi , G. Ruocco , T. Scopigno

We introduce an algorithm that constructs disordered mass-spring networks whose elastic properties mimic that of glasses by tuning the fluctuations of the local elastic properties, keeping fixed connectivity and controlling the prestress.…

Disordered Systems and Neural Networks · Physics 2023-08-23 Shivam Mahajan , Massimo Pica Ciamarra

We discuss the behavior of a crystalline surface with a disordered substrate. We focus on the possible existence of a {\em super-rough} glassy phase, with height-height correlation functions which vary as the square logarithm of the…

Condensed Matter · Physics 2009-10-28 Enzo Marinari , Remi Monasson , Juan J. Ruiz-Lorenzo

The thermodynamics and dynamics of supercooled liquids correlate with their elasticity. In particular for covalent networks, the jump of specific heat is small and the liquid is {\it strong} near the threshold valence where the network…

Disordered Systems and Neural Networks · Physics 2015-09-02 Le Yan , Matthieu Wyart

Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our…

Soft Condensed Matter · Physics 2020-07-30 Tingtao Zhou , Dimitrios Fraggedakis , Fan Wang

We investigate the influence of static correlations beyond the pair level on the dynamics of selected model glass-formers. We compare the pair structure, angular distribution functions, and statistics of Voronoi polyhedra of two well-known…

Statistical Mechanics · Physics 2011-06-01 Daniele Coslovich
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