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Related papers: Analysis of the Disorder-Induced Zero Bias Anomaly…

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We generalize the typical medium dynamical cluster approximation to multiband disordered systems. Using our extended formalism, we perform a systematic study of the non-local correlation effects induced by disorder on the density of states…

Disordered Systems and Neural Networks · Physics 2015-11-11 Yi Zhang , Hanna Terletska , C. Moore , Chinedu Ekuma , Ka-Ming Tam , Tom Berlijn , Wei Ku , Juana Moreno , Mark Jarrell

In dissipationless linear media, spatial disorder induces Anderson localization of matter, light, and sound waves. The addition of nonlinearity causes interaction between the eigenmodes, which results in a slow wave diffusion. We go beyond…

Disordered Systems and Neural Networks · Physics 2015-09-22 T. V. Laptyeva , A. A. Tikhomirov , O. I. Kanakov , M. V. Ivanchenko

We study a two-band Hubbard model in the limit of infinite dimensions, using a combination of analytical methods and Monte-Carlo techniques. The normal state is found to display various metal to insulators transitions as a function of…

Condensed Matter · Physics 2009-10-22 Antoine Georges , Gabriel Kotliar , Werner Krauth

We study the Anderson disordered Hubbard model on the honeycomb lattice. The Hubbard term is han- dled with strong-coupling perturbation theory which encodes the Mott transition physics into a rich dynamical structure of a local…

Strongly Correlated Electrons · Physics 2018-12-06 Alireza Habibi , Elaheh Adibi , S. A. Jafari

We derive Ginzburg - Landau (GL) expansion in disordered attractive Hubbard model within the combined Nozieres - Schmitt-Rink and DMFT+Sigma approximation. Restricting ourselves to the case of homogeneous expansion, we analyze disorder…

Superconductivity · Physics 2016-05-04 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

We investigate, by numerically calculating the charge stiffness, the effects of random diagonal disorder and electron-electron interaction on the nature of the ground state in the 2D Hubbard model through the finite size exact…

Strongly Correlated Electrons · Physics 2009-10-31 R. Kotlyar , S. Das Sarma

Considering two non-interacting qubits in the context of open quantum systems, it is well known that their common environment may act as an entangling agent. In a perturbative regime the influence of the environment on the system dynamics…

Quantum Physics · Physics 2020-10-28 Richard Hartmann , Walter T. Strunz

I address here the question of the mutual interplay of strong correlations and disorder in the system. I consider random version of the Hubbard model. Diagonal randomness is introduced {\it via} random on-site energies and treated by the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Karol I. Wysokinski

We study time-dependent electron transport through an Anderson model. The electronic interactions on the impurity site are included via the self-energy approximations at Hartree-Fock (HF), second Born (2B), GW, and T-Matrix level as well as…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 A. -M. Uimonen , E. Khosravi , A. Stan , G. Stefanucci , S. Kurth , R. van Leeuwen , E. K. U. Gross

We show how certain properties of the Anderson model on a tree are related to the solutions of a non-linear integral equation. Whether the wave function is extended or localized, for example, corresponds to whether or not the equation has a…

Condensed Matter · Physics 2009-10-22 J. Miller , B. Derrida

Momentum dependent local-ansatz wavefunction approach (MLA) to the correlated electron systems in solids has been further developed to solve best a self-consistent equation for variational parameters at non half-filling. With use of the…

Strongly Correlated Electrons · Physics 2015-05-30 M. Atiqur R. Patoary , Yoshiro Kakehashi

Strongly correlated electrons with box disorder in high-dimensional lattices are investigated. We apply the statistical dynamical mean-field theory, which treats local correlations non-perturbatively. The incorporation of a finite lattice…

Disordered Systems and Neural Networks · Physics 2011-09-27 Denis Semmler , Krzysztof Byczuk , Walter Hofstetter

The density of states of the organic superconductor $\kappa$-(BEDT-TTF)$_2$Cu[N(CN)$_2$]Br, measured by scanning tunneling spectroscopy on \textit{in-situ} cleaved surfaces, reveals a logarithmic suppression near the Fermi edge persisting…

Strongly Correlated Electrons · Physics 2014-10-21 Sandra Diehl , Torsten Methfessel , Jens Müller , Michael Lang , Michael Huth , Martin Jourdan , Hans-Joachim Elmers

A simple and commonly employed approximate technique with which one can examine spatially disordered systems when strong electronic correlations are present is based on the use of real-space unrestricted self-consistent Hartree-Fock wave…

Strongly Correlated Electrons · Physics 2009-11-13 X. Chen , A. Farhoodfar , T. McIntosh , R. J. Gooding , P. W. Leung

Learning from data has led to a paradigm shift in computational materials science. In particular, it has been shown that neural networks can learn the potential energy surface and interatomic forces through examples, thus bypassing the…

Strongly Correlated Electrons · Physics 2019-02-18 Jianhua Ma , Puhan Zhang , Yaohua Tan , Avik W. Ghosh , Gia-Wei Chern

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov

The phenomenon associated with inhomogeneous distribution of electron density is known as a charge ordering. In this work, we study the zero-bandwidth limit of the extended Hubbard model, which can be considered as a simple effective model…

Strongly Correlated Electrons · Physics 2017-10-06 Konrad Jerzy Kapcia , Jan Barański , Andrzej Ptok

Two powerful theoretical predictions, Anderson localization and the Imry-Ma argument, impose significant restrictions on the phases of matter that can exist in the presence of even the smallest amount of disorder in one-dimensional systems.…

Disordered Systems and Neural Networks · Physics 2016-08-29 Hitesh J. Changlani , Norm M. Tubman , Taylor L. Hughes

We study the effects of quasidisorder and Anderson disorder on a two dimensional topological superconductor with an applied external magnetic field. The cases of a $p$-wave superconductor and a noncentrosymmetric superconductor with mixed…

Superconductivity · Physics 2022-12-20 M. F. Madeira , P. D. Sacramento

We study analytically and numerically the Anderson model in one dimension with "stealthy" disorder, defined as having a power spectrum that vanishes in a continuous band of wave numbers. Motivated by recent studies on the optical…

Disordered Systems and Neural Networks · Physics 2026-04-15 Carlo Vanoni , Jonas Karcher , Mikael C. Rechtsman , Boris L. Altshuler , Paul J. Steinhardt , Salvatore Torquato