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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

Both the weakly coupled and strong coupling Anderson impurity problems are characterized by a Fermi-liquid theory with weakly interacting quasiparticles. In an Anderson box, mesoscopic fluctuations of the effective single particle…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Dong E. Liu , Sébastien Burdin , Harold U. Baranger , Denis Ullmo

We have shown that in systems where the Coulomb interaction is strongly suppressed, the superconducting transition temperature may be enhanced by disorder close to the Anderson localization transition. This phenomenon is based on the…

Superconductivity · Physics 2012-08-31 Vladimir Kravtsov

We study the strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit coupling and Zeeman spin splitting. While the study of this…

Strongly Correlated Electrons · Physics 2014-02-18 Aaron Farrell , T. Pereg-Barnea

Based on the statistical dynamical mean field theory, we investigate, in a generic model for a strongly coupled disordered electron-phonon system, the competition between polaron formation and Anderson localization. The statistical…

Strongly Correlated Electrons · Physics 2007-05-23 Franz X. Bronold , Andreas Alvermann , Holger Fehske

We study a model of strongly-correlated systems that incorporates phases such as Fermi liquids, non-Fermi liquids, and superconductivity, in addition to potential intertwined orders. The model describes Fermi surfaces of spinful electron…

Strongly Correlated Electrons · Physics 2017-11-15 Yi Zhang

Bond-disordered Anderson model in two dimensions on a square lattice is studied numerically near the band center by calculating density of states (DoS), multifractal properties of eigenstates and the localization length. DoS divergence at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Viktor Z. Cerovski

We investigate the single-impurity Anderson model by means of the recently introduced modified perturbation theory. This approximation scheme yields reasonable results away from the symmetric case. The agreement with exactly known results…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , T. Wegner , M. Potthoff , W. Nolting

Deviations from Fermi liquid behavior are well documented in the normal state of the cuprate superconductors, and some of these differences are possibly related to pre-formed pairs appearing at temperatures above T_c. In order to test these…

Strongly Correlated Electrons · Physics 2009-10-31 M. Letz , R. J. Gooding

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

We investigate the ferromagnetic Kondo-lattice model (FKLM) with a correlated conduction band. A moment conserving approach is proposed to determine the electronic self-energy. Mapping the interaction onto an effective Heisenberg model we…

Strongly Correlated Electrons · Physics 2015-06-24 J. Kienert , C. Santos , W. Nolting

We investigate the interplay between the magnetic and the superconducting degrees of freedom in unconventional multi-band superconductors such as iron pnictides. For this purpose a dynamical mode-mode coupling theory is developed based on…

Superconductivity · Physics 2016-11-30 M. N. Kiselev , D. V. Efremov , S. L. Drechsler , Jeroen van den Brink , K. Kikoin

We examine the thermalisation/localization trade off in an interacting and disordered Kitaev model, specifically addressing whether signatures of many-body localization can coexist with the systems topological phase. Using methods…

Strongly Correlated Electrons · Physics 2020-08-19 Stephen Nulty , Jiri Vala , Dganit Meidan , Graham Kells

A model is introduced describing the interplay between superconductivity and spin-ordering. It is characterized by on-site repulsive electron-electron interactions, causing antiferromagnetism, and nearest-neighbor attractive interactions,…

Superconductivity · Physics 2009-10-31 C. N. A. van Duin , J. Zaanen

Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. The ideal experimental emulation of such a model utilizes simultaneous, high-fidelity control and readout of…

Recently developed strong-coupling theory open up the possibility of treating quantum-mechanical systems with hard-wall potentials via perturbation theory. To test the power of this theory we study here the exactly solvable quantum…

Condensed Matter · Physics 2009-10-31 H. Kleinert , A. Chervyakov , B. Hamprecht

Conformal symmetry is broken in physical QCD; nevertheless, one can use conformal symmetry as a template, systematically correcting for its nonzero $\beta$ function as well as higher-twist effects. For example, commensurate scale relations…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky

We investigate the scalar perturbations and the possible strong coupling issues of $f(T)$ around a cosmological background, applying the effective field theory (EFT) approach. We revisit the generalized EFT framework of modified…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Yu-Min Hu , Yaqi Zhao , Xin Ren , Bo Wang , Emmanuel N. Saridakis , Yi-Fu Cai

The present paper is an extension of 'cond-mat/0312673'. The construction of a hybrid discrete-continuous model of layered superconductors is presented. The model bases on the classic Lawrence-Doniach scenario with admitting, however,…

Superconductivity · Physics 2007-05-23 M. Sztyren

We propose a simplified version of the Multi-Scale Analysis of tight-binding Anderson models with strongly mixing random potentials which leads directly to uniform exponential bounds on decay of eigenfunctions in arbitrarily large finite…

Mathematical Physics · Physics 2012-05-08 Victor Chulaevsky