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We study elastic systems such as interfaces or lattices pinned by correlated quenched disorder considering two different types of correlations: generalized columnar disorder and quenched defects correlated as ~ x^{-a} for large separation…

Disordered Systems and Neural Networks · Physics 2009-11-13 Andrei A. Fedorenko

We use 3D numerical simulations to explore the phase diagram of driven flux line lattices in presence of weak random columnar disorder at finite temperature and high driving force. We show that the moving Bose glass phase exists in a large…

Disordered Systems and Neural Networks · Physics 2015-05-13 Y. Fily , E. Olive , J. C. Soret

We apply the gaussian variational method (GVM) to study the equilibrium statistical mechanics of the two related systems: (i) classical elastic manifolds, such as flux lattices, in presence of columnar disorder correlated along the $\tau$…

Condensed Matter · Physics 2009-10-28 Thierry Giamarchi , Pierre Le Doussal

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. The Bose-glass phase is described by a fully attractive strong-disorder fixed point…

Quantum Gases · Physics 2020-01-17 Nicolas Dupuis

We study moving periodic structures in presence of correlated disorder using renormalisation group. We find that the effect of disorder persists at all velocities resulting at zero temperature in a Moving Bose Glass phase with transverse…

Condensed Matter · Physics 2009-10-31 Pascal Chauve , Pierre Le Doussal , Thierry Giamarchi

Columnar defects provide effective pinning centers for magnetic flux lines in high--$T_{\rm c}$ superconductors. Utilizing a mapping of the statistical mechanics of directed lines to the quantum mechanics of two--dimensional bosons, one…

Condensed Matter · Physics 2011-12-07 Uwe C. Täuber

The effect of disorder on flux lattices at equilibrium is studied quantitatively in the absence of free dislocations using both the Gaussian variational method and the renormalization group. Our results for the mean square relative…

Condensed Matter · Physics 2016-08-31 T. Giamarchi , P. Le Doussal

We revisit the problem of an elastic line (e.g. a vortex line in a superconductor) subject to both columnar disorder and point disorder in dimension $d=1+1$. Upon applying a transverse field, a delocalization transition is expected, beyond…

Statistical Mechanics · Physics 2022-01-12 Alexandre Krajenbrink , Pierre Le Doussal , Neil O'Connell

We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase…

Quantum Gases · Physics 2015-06-11 Chien-Hung Lin , Rajdeep Sensarma , K. Sengupta , S. Das Sarma

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

We investigate the effects of disorder and lattice geometry against localisation phenomena in a weakly interacting ultracold bosonic gas confined in a 2D optical lattice. The behaviour of the quantum fluid is studied at the mean-field level…

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. We find that the Bose-glass phase is described by a fully attractive strong-disorder…

Quantum Gases · Physics 2020-05-14 Nicolas Dupuis , Romain Daviet

We studied the statics and dynamics of elastic manifolds in disordered media with long-range correlated disorder using functional renormalization group (FRG). We identified different universality classes and computed the critical exponents…

Disordered Systems and Neural Networks · Physics 2017-08-23 Andrei A. Fedorenko

The two-dimensional XY-model with random phase-shifts on bonds is studied. The analysis is based on a renormalization group for the replicated system. The model is shown to have an ordered phase with quasi long-range order. This ordered…

Condensed Matter · Physics 2009-10-28 Stefan Scheidl

We investigate the thermodynamic properties of a dilute Bose gas in a correlated random potential using exact path integral Monte Carlo methods. The study is carried out in continuous space and disorder is produced in the simulations by a…

Quantum Gases · Physics 2015-02-26 S. Pilati , S. Giorgini , M. Modugno , N. Prokof'ev

We investigate the localization and topological properties of the non-equilibrium steady state (NESS) in a one-dimensional homogeneous system. Our results demonstrate that, despite the absence of disorder in the initial system, the NESS can…

Disordered Systems and Neural Networks · Physics 2025-07-08 Xixi Feng , Ao Zhou , Feng Lu , Gao Xianlong , Shujie Cheng

We study the onset of localization from excited states of trapped Bose- Einstein Condensates expanding in presence of Gaussian uncorrelated random disorder. In 1D systems, we observe that for a fixed ratio between the disorder strength and…

Quantum Gases · Physics 2017-03-07 M. Pons , A. Sanpera

By means of Monte Carlo techniques, we study the role of disorder on a system of hard-core bosons in a two-leg ladder with both intra-chain ($t$) and inter-chain ($t^\prime$) hoppings. We find that the phase diagram as a function of the…

Strongly Correlated Electrons · Physics 2015-05-27 Juan Carrasquilla , Federico Becca , Michele Fabrizio

We investigate the effect of white-noise disorder on the local phase stiffness and thermodynamic properties of a two-dimensional $s$-wave superconductor. Starting from a local attractive model and using path-integral formalism, we derive an…

Superconductivity · Physics 2025-10-13 Sudipta Biswas , A. Taraphder , Sudhansu S. Mandal

The stability to dislocations of the elastic phase, or ``Bragg glass'', of a randomly pinned elastic medium in two dimensions is studied using the minimum-cost-flow algorithm for a disordered fully-packed loop model. The elastic phase is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Chen Zeng , Paul L. Leath , Daniel S. Fisher
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