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We develop a cluster typical medium theory to study localization in disordered electronic systems. Our formalism is able to incorporate non-local correlations beyond the local typical medium theory in a systematic way. The cluster typical…

Disordered Systems and Neural Networks · Physics 2014-06-23 Chinedu E. Ekuma , Hanna Terletska , Zi Yang Meng , Juana Moreno , Mark Jarrell , Samiyeh Mahmoudian , Vladimir Dobrosavljevic

This paper introduces a novel method to account for quantum disorder effects into the classical drift-diffusion model of semiconductor transport through the localization landscape theory. Quantum confinement and quantum tunneling in the…

Propagation of primary pulse through an un-compressed granular chain subject to external on-site perturbation is studied. Analytical procedure predicting the evolution of the primary pulse is devised for the general form of the on-site…

Pattern Formation and Solitons · Physics 2015-06-04 Yuli Starosvetsky

Dissipation from harmonic energy eigenstates is used to characterize energy transport in binary isotopically disordered (BID) Fermi-Pasta-Ulam (FPU-beta) chains. Using a continuum analog for the corresponding harmonic portion of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 K. A. Snyder , T. R. Kirkpatrick

We observe a crossover from strong to weak chaos in the spatiotemporal evolution of multiple site excitations within disordered chains with cubic nonlinearity. Recent studies have shown that Anderson localization is destroyed, and the wave…

Chaotic Dynamics · Physics 2010-10-06 T. V. Laptyeva , J. D. Bodyfelt , D. O. Krimer , Ch. Skokos , S. Flach

We study spin transport in a Hubbard chain with strong, random, on--site potential and with spin--dependent hopping integrals, $t_{\sigma}$. For the the SU(2) symmetric case, $t_{\uparrow} =t_{\downarrow}$, such model exhibits only partial…

Strongly Correlated Electrons · Physics 2019-05-15 M. Sroda , P. Prelovsek , M. Mierzejewski

We study the quasiparticle transport coefficients in disordered d-wave superconductors. We find that spin and charge excitations are generally localized unless magnetic impurities are present. If the system is close to a nesting point in…

Superconductivity · Physics 2009-11-07 Michele Fabrizio , Luca Dell'Anna , Claudio Castellani

Electrons (or holes) confined in 2D semiconductor layers have served as model systems for studying disorder and interaction effects for almost 50 years. In particular, strong disorder drives the metallic 2D carriers into a strongly…

Mesoscale and Nanoscale Physics · Physics 2023-05-29 Seongjin Ahn , Sankar Das Sarma

We investigate the non-equilibrium transport properties of a disordered molecular nanowire. The nanowire is regarded as a quasi-one-dimensional organic crystal composed of self-assembled molecules. One orbital and a single random energy are…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 P. Thiessen , E. Diaz , R. A. Roemer , F. Dominguez-Adame

We study theoretically Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a random one-dimensional scalar potential. We focus explicitly on the effect of disorder correlations, considering a short-range…

Disordered Systems and Neural Networks · Physics 2019-09-11 Seulong Kim , Kihong Kim

Strong localization of light in three-dimensional disordered dielectric systems remains challenging to establish because it requires extremely strong recurrent scattering, while the long-lived localized contribution can be weak and masked…

Optics · Physics 2026-05-26 Yevgen Grynko , Jens Förstner

We present a perturbative approach to disordered systems in one spatial dimension that accesses the full range of phase disorder and clarifies the connection between localization and phase information. We consider a long chain of…

Disordered Systems and Neural Networks · Physics 2024-03-04 Adrian B. Culver , Pratik Sathe , Rahul Roy

We numerically study a one dimensional, nonlinear lattice model which in the linear limit is relevant to the study of bending (flexural) waves. In contrast with the classic one dimensional mass-spring system, the linear dispersion relation…

Statistical Mechanics · Physics 2022-02-16 Arnold Ngapasare , Geogios Theocharis , Olivier Richoux , Vassos Achilleos , Charalampos Skokos

Disorder can be utilized as an effective parameter to probe the interplay between two long range orders such as superconductivity and charge density wave. In the present work, we report on the experimental evidence for filamentary…

Superconductivity · Physics 2025-03-19 M. Singh , P. Saha , A. Chahar , B. Birajdar , D. K. Shukla , S. Patnaik

We study the real-time dynamics of local occupation numbers in a one-dimensional model of spinless fermions with a random on-site potential for a certain class of initial states. The latter are thermal (mixed or pure) states of the model in…

Statistical Mechanics · Physics 2018-10-09 Jonas Richter , Jacek Herbrych , Robin Steinigeweg

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main probes of the system's behavior we use the sensitivity of eigenstates to adiabatic transformations, as expressed through the fidelity susceptibility, in…

Quantum Physics · Physics 2021-11-09 Dries Sels , Anatoli Polkovnikov

Anderson localization predicts that wave spreading in disordered lattices can come to a complete halt, providing a universal mechanism for {dynamical localization}. In the one-dimensional Hermitian Anderson model with uncorrelated diagonal…

Disordered Systems and Neural Networks · Physics 2023-04-18 Stefano Longhi

We report a study of three-dimensional (3D) localization of ultracold atoms suspended against gravity, and released in a 3D optical disordered potential with short correlation lengths in all directions. We observe density profiles composed…

We address the interplay between two fundamentally different wavepacket localization mechanisms, namely resonant dynamic localization due to collapse of quasi-energy bands in periodic media and disorder-induced Anderson localization.…

We use particle dynamics simulations to probe the correlations between noise and dynamics in a variety of disordered systems, including superconducting vortices, 2D electron liquid crystals, colloids, domain walls, and granular media. The…

Superconductivity · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt