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The time-dependent Mott transition in a periodic Anderson model with off-site, nearest-neighbor hybridization is studied within the framework of nonequilibrium self-energy functional theory. Using the two-site dynamical-impurity…

Strongly Correlated Electrons · Physics 2016-08-16 Felix Hofmann , Michael Potthoff

We examine the localization properties of the Anderson Hamiltonian with additional off-diagonal disorder using the transfer-matrix method and finite-size scaling. We compute the localization lengths and study the metal-insulator transition…

Disordered Systems and Neural Networks · Physics 2015-06-24 P. Biswas , P. Cain , R. A. Roemer , M. Schreiber

Nonlocal correlations play an essential role in correlated electron systems, especially in the vicinity of phase transitions and crossovers, where two-particle correlation functions display a distinct momentum dependence. In nonequilibrium…

Strongly Correlated Electrons · Physics 2023-06-29 Olivier Simard , Philipp Werner

We study the tunneling density of states (TDOS) of a disordered electronic system with Coulomb interaction on the insulating side of the Anderson localization transition. The average TDOS shows a critical behavior at high energies, with a…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We present a theory of the metal-insulator transition in a disordered two-dimensional electron gas. A quantum critical point, separating the metallic phase which is stabilized by electronic interactions, from the insulating phase where…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander Punnoose , Alexander M. Finkel'stein

Real materials always contain, to some extent, randomness in the form of defects or irregularities. It is known since the seminal work of Anderson that randomness can drive a metallic phase to an insulating one, and the mechanism…

According to the Anderson theorem, the critical temperature T_c of a disordered superconductor is determined by the average density of states and does not change at the localization threshold. This statement is valid under assumption of a…

Disordered Systems and Neural Networks · Physics 2014-02-12 I. M. Suslov

Dynamical Mean-Field Theory (DMFT) has established itself as a reliable and well-controlled approximation to study correlation effects in bulk solids and also two-dimensional systems. In combination with standard density-functional theory…

Atomic and Molecular Clusters · Physics 2015-05-30 V. Turkowski , A. Kabir , N. Nayyar , Talat S. Rahman

We propose a generalization of multifractal analysis that is applicable to the critical regime of the Anderson localization-delocalization transition. The approach reveals that the behavior of the probability distribution of wavefunction…

Disordered Systems and Neural Networks · Physics 2010-08-02 Alberto Rodriguez , Louella J. Vasquez , Keith Slevin , Rudolf A. Römer

We show analytically that, under certain assumptions, the periodic Anderson model and the Hubbard model become equivalent within the dynamical mean field theory for quasiparticle weight Z -> 0. A scaling relation is derived which is…

Strongly Correlated Electrons · Physics 2009-10-31 K. Held , R. Bulla

Disorder or sufficiently strong interactions can render a metallic state unstable causing it to turn into an insulating one. Despite the fact that the interplay of these two routes to a vanishing conductivity has been a central research…

Strongly Correlated Electrons · Physics 2016-10-07 Andrey E. Antipov , Younes Javanmard , Pedro Ribeiro , Stefan Kirchner

The spectral statistics of complex networks are numerically studied. The features of the Anderson metal-insulator transition are found to be similar for a wide range of different networks. A metal-insulator transition as a function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Sade , T. Kalisky , S. Havlin , R. Berkovits

The critical exponents of continuous phase transitions of a Hermitian system depend on and only on its dimensionality and symmetries. This is the celebrated notion of the universality of continuous phase transitions. Here we report the…

Disordered Systems and Neural Networks · Physics 2023-01-24 C. Wang , X. R. Wang

We discuss a generalization of the dynamical mean field theory (DMFT) for strongly correlated systems close to a Mott transition based on a systematic approximation of the fully irreducible four-point vertex. It is an atomic-limit…

Strongly Correlated Electrons · Physics 2016-09-07 Thomas Ayral , Olivier Parcollet

In this comparative study we benchmark a recently developed non-adiabatic exchange-correlation potential within time-dependent density functional theory (TDDFT) (Phys.\ Rev.\ Lett.\ {\bf 120}, 157701 (2018)) by (a) validating the transient…

Statistical Mechanics · Physics 2019-02-20 Niklas Dittmann , Nicole Helbig , Dante M. Kennes

The Anderson transition in a 3D system with symplectic symmetry is investigated numerically. From a one-parameter scaling analysis the critical exponent $\nu$ of the localization length is extracted and estimated to be $\nu = 1.3 \pm 0.2$.…

Condensed Matter · Physics 2009-10-28 T. Kawarabayashi , T. Ohtsuki , K. Slevin , Y. Ono

We explore the use of exact diagonalization methods for solving the self consistent equations of the cellular dynamical mean field theory (CDMFT) for the one dimensional regular and extended Hubbard models. We investigate the nature of the…

Strongly Correlated Electrons · Physics 2007-05-23 C. J. Bolech , S. S. Kancharla , G. Kotliar

The dynamical mean-field theory (DMFT) combined with the fluctuation exchange (FLEX) method, namely FLEX+DMFT, is an approach for correlated electron systems to incorporate both local and non-local long-range correlations in a…

Superconductivity · Physics 2015-08-20 Motoharu Kitatani , Naoto Tsuji , Hideo Aoki

From transfer-matrix calculation of localization lengths and their finite-size scaling analyses, we evaluate critical exponents of the Anderson metal-insulator transition in three dimensional (3D) orthogonal class with particle-hole…

Disordered Systems and Neural Networks · Physics 2020-01-29 Xunlong Luo , Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

The dynamic Mott insulator-to-metal transition (DMT) is key to many intriguing phenomena in condensed matter physics yet it remains nearly unexplored. The cleanest way to observe DMT, without the interference from disorder and other effects…