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Anderson localization is predicted to enhance the critical temperature of disordered superconductors. Despite a huge body of theoretical work based on non-linear sigma models, experiments are lacking to understand correlated electrons in…

We study the effect of Anderson localization on a Bose-Einstein condesate in 3d in a disordered potential by Feynman-Kac path integral technique. Simulations are performed in continuous space using canonical ensemble. Owing to the high…

Quantum Gases · Physics 2014-03-20 S. Datta

We develop a real space cluster extension of the typical medium theory (cluster-TMT) to study Anderson localization. By construction, the cluster-TMT approach is formally equivalent to the real space cluster extension of the dynamical mean…

Disordered Systems and Neural Networks · Physics 2021-10-01 Ka-Ming Tam , Hanna Terletska , Tom Berlijn , Liviu Chioncel , Juana Moreno

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

Disordered Systems and Neural Networks · Physics 2026-01-06 Jake S. Bobowski

We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large scale full-wave simulations. For subwavelength particles with size parameter $kr \approx 1$ and high refractive…

Optics · Physics 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

It is well established that for non-interacting electrons, increasing disorder drives a metal into a gapless localized Anderson insulator. While in three dimensions a threshold in disorder must be crossed for the transition, in two…

Strongly Correlated Electrons · Physics 2015-06-15 Elias Lahoud , O. Nganba Meetei , K. B. Chaska , A Kanigel , Nandini Trivedi

The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory using the H\"older mean local density of states. A critical disorder strength is determined in the Anderson-Falicov-Kimball model…

Strongly Correlated Electrons · Physics 2009-11-13 Andre M. C. Souza , Daniela de O. Maionchi , Hans J. Herrmann

We study the three-dimensional two-band Anderson model of localization and compare our results to experimental results for amorphous metallic alloys (AMA). Using the transfer-matrix method, we identify and characterize the metal-insulator…

Disordered Systems and Neural Networks · Physics 2009-11-10 I V Plyushchay , R A Roemer , M Schreiber

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

The influence of substitutional disorder on the transport properties of heavy-fermion systems is investigated. We extend the dynamical mean-field theory treatment of the periodic Anderson model (PAM) to a coherent-potential approximation…

Strongly Correlated Electrons · Physics 2008-03-25 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

We review recent progress in our theoretical understanding of strongly correlated fermion systems in the presence of disorder. Results were obtained by the application of a powerful nonperturbative approach, the Dynamical Mean-Field Theory…

Strongly Correlated Electrons · Physics 2015-05-18 K. Byczuk , W. Hofstetter , D. Vollhardt

Understanding the metal-insulator transition in disordered many-fermion systems, both with and without interactions, is one of the most challenging and consequential problems in condensed matter physics. In this paper we address this issue…

Disordered Systems and Neural Networks · Physics 2015-10-19 Vipin Kerala Varma , Sebastiano Pilati

We investigate numerically the propagation and the Anderson localization of plane waves in a one-dimensional lattice chain, where disorder and saturable nonlinearity are simultaneously present. Using a calculation scheme for solving the…

Disordered Systems and Neural Networks · Physics 2017-08-08 Ba Phi Nguyen , Kihong Kim

We study the effect of disorder in a holographic superconductor by introducing a quasi-periodic chemical potential. When the condensation of the superconductor is sufficiently small compared with the strength of disorder, we find that there…

High Energy Physics - Theory · Physics 2014-03-05 Hua Bi Zeng

We study the band-centre anomaly in the one-dimensional Anderson model with weak correlated disorder. Our analysis is based on the Hamiltonian map approach; the correspondence between the discrete model and its continuous counterpart is…

Disordered Systems and Neural Networks · Physics 2016-08-08 L. Tessieri , I. F. Herrera-González , F. M. Izrailev

We apply the recently developed dual fermion algorithm for disordered interacting systems to the Anderson-Hubbard model. This algorithm is compared with dynamical cluster approximation calculations for a one-dimensional system to establish…

Strongly Correlated Electrons · Physics 2017-01-24 P. Haase , S. -X. Yang , T. Pruschke , J. Moreno , M. Jarrell

We study the localization properties of a disordered tight-binding Hamiltonian on a generic bipartite lattice close to the band center. By means of a fermionic replica trick method, we derive the effective non-linear $\sigma$-model…

Disordered Systems and Neural Networks · Physics 2009-10-31 Michele Fabrizio , Claudio Castellani

We examine the impact of non-magnetic disorder on the electronic states of a multilayer structure comprising layers of both topological and conventional band insulators. Employing the Burkov-Balents model with renormalized tunneling…

Mesoscale and Nanoscale Physics · Physics 2024-04-25 Z. Z. Alisultanov , A. Kudlis

We present a novel approximation scheme for the treatment of strongly correlated electrons in arbitrary crystal lattices. The approach extends the well-known dynamical mean field theory to include nonlocal two-site correlations of arbitrary…

Strongly Correlated Electrons · Physics 2012-04-16 Torben Jabben , Norbert Grewe , Sebastian Schmitt

We have studied the one-dimensional periodic, symmetric Anderson model at half filling in the presence of disorder using finite-temperature quantum Monte Carlo techniques. We have examined for the first time the disorder both in…

Strongly Correlated Electrons · Physics 2007-05-23 Feng Chen , Nicholas Kioussis