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We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of…

Disordered Systems and Neural Networks · Physics 2025-05-29 Sourav Bhattacharjee , Piotr Sierant , Marek Dudyński , Jan Wehr , Jakub Zakrzewski , Maciej Lewenstein

Research on time crystals concerns the spontaneous breaking of translational symmetry in time, as well as the realization of phenomena and phases known from solid-state physics in the time domain. Periodically driven systems of massive…

Optics · Physics 2025-01-24 Majid Yazdani-Kachoei , Krzysztof Sacha , Boris A. Malomed

We present a new approach to factor rotation for functional data. This is achieved by rotating the functional principal components toward a predefined space of periodic functions designed to decompose the total variation into components…

Applications · Statistics 2012-07-02 Chong Liu , Surajit Ray , Giles Hooker , Mark Friedl

We study various realizations of collective coordinates, e.g. the position of a particle, the charge of a Coulomb box or the phase of a Bose or a superconducting condensate, coupled to Luttinger liquids (LL) with N flavors. We find that for…

Strongly Correlated Electrons · Physics 2013-09-18 B. Horovitz , T. Giamarchi , P. Le Doussal

The metal-insulator transition (MIT) observed in two-dimensional (2D) systems is apparently contradictory to the well known scaling theory of localization. By investigating the conductance of disordered one-dimensional systems with a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Junren Shi , X. C. Xie

Motivated by previous investigations on the radiative effects of the electric dipoles embedded in structured cavities, localization of electromagnetic waves in two dimensions is studied {\it ab initio} for a system consisting of many…

Disordered Systems and Neural Networks · Physics 2009-11-07 Zhen Ye , Sheng Li , Xin Sub

We investigate a variant of the parabolic Anderson model, introduced in previous work, in which an i.i.d.\! potential is partially duplicated in a symmetric way about the origin, with each potential value duplicated independently with a…

Probability · Mathematics 2018-12-07 Stephen Muirhead , Richard Pymar , Nadia Sidorova

We present spatio-temporal characteristics of spreading depolarizations (SD) in two experimental systems: retracting SD wave segments observed with intrinsic optical signals in chicken retina, and spontaneously occurring re-entrant SD waves…

Rosenzweig-Porter (RP) model has garnered much attention in the last decade, as it is a simple analytically tractable model showing both ergodic--nonergodic extended and Anderson localization transitions. Thus, it is a good toy model to…

Disordered Systems and Neural Networks · Physics 2023-12-12 Madhumita Sarkar , Roopayan Ghosh , Ivan M. Khaymovich

We theoretically explore a dynamical generalization of the Aubry-Andr\'e model in two dimensions formed by superimposing two square-lattice potentials. Motivated by the rich physics emerging at different twist angles between the two…

Quantum Gases · Physics 2025-09-24 James Walkling , Antonio Štrkalj , F. Nur Ünal

We study the period doubling renormalization operator for dynamics which present two coupled laminar regimes with two weakly expanding fixed points. We focus our analysis on the potential point of view, meaning we want to solve…

Dynamical Systems · Mathematics 2008-02-04 Alexandre Baraviera , Renaud Leplaideur , Artur O. Lopes

It is demonstrated that itinerant-localized transition of heavy electrons occurs inside the magnetically ordered phase of the Kondo-Heisenberg lattice. The phase diagram and electronic structure are derived by means of the continuous-time…

Strongly Correlated Electrons · Physics 2013-07-12 Shintaro Hoshino , Yoshio Kuramoto

Disorder in a 1D quantum lattice induces Anderson localization of the eigenstates and drastically alters transport properties of the lattice. In the original Anderson model, the addition of a periodic driving increases, in a certain range…

Disordered Systems and Neural Networks · Physics 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko

An overview of results of models of coupled quantum rotors is presented. We focus on rotors with dipolar and quadrupolar potentials in two and three dimensions, potentials which correspond to approximate descriptions of real molecules…

Statistical Mechanics · Physics 2015-05-13 Yuri A. Freiman , B. Hetenyi , S. M. Tretyak

Reciprocity is a universal principle that has a profound impact on many areas of physics. A fundamental phenomenon in condensed-matter physics, optical physics and acoustics, arising from reciprocity, is the constructive interference of…

Optics · Physics 2016-02-24 Y. Bromberg , B. Redding , S. M. Popoff , H. Cao

We introduce a mechanism that can both hold and amplify electromagnetic waves by rapidly changing the permittivity of the medium during the wave travel from a positive to a dispersionless (i.e. non-Foster) negative value and then back…

We investigate the influence of aperiodic modulations of the exchange interactions between nearest-neighbour rows on the phase transition of the two-dimensional eight-state Potts model. The systems are studied numerically through intensive…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Pierre Emmanuel Berche , Bertrand Berche

We analyze the motion of an overdamped classical particle in a multidimensional periodic potential, driven by a weak external noise. We demonstrate that in steady-state, the presence of temporal correlations in the noise and spatial…

Condensed Matter · Physics 2009-10-31 A. W. Ghosh , S. V. Khare

We demonstrate that particles confined to two dimensions (2d) and subjected to a one-dimensional (1d) periodic potential exhibit a rich phase diagram, with both ``locked floating solids'' and smectic phases. The resulting phases and phase…

Soft Condensed Matter · Physics 2009-10-31 Erwin Frey , David R. Nelson , Leo Radzihovsky

We report on ultrasonic measurements of the propagation operator in a strongly scattering mesoglass. The backscattered field is shown to display a deterministic spatial coherence due to a remarkably large memory effect induced by long…

Disordered Systems and Neural Networks · Physics 2014-01-30 Alexandre Aubry , Laura A. Cobus , Sergey E. Skipetrov , Bart A. van Tiggelen , Arnaud Derode , John H. Page