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The dc-conductivity of electrons on a square lattice interacting with a local repulsion in the presence of disorder is computed by means of quantum Monte Carlo simulations. We provide evidence for the existence of a transition from an…

Strongly Correlated Electrons · Physics 2015-05-20 Prabuddha B. Chakraborty , Krzysztof Byczuk , Dieter Vollhardt

In the most popular approach to the numerical study of the Anderson metal-insulator transition the transfer matrix method is combined with finite-size scaling ideas. This approach requires large computer resources to overcome the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alex P Taylor , Angus MacKinnon

We introduce perturbation and coupled-cluster theories based on a cluster mean-field reference for describing the ground state of strongly-correlated spin systems. In cluster mean-field, the ground state wavefunction is written as a simple…

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

We report a first principles formalism and its numerical implementation for treating quantum transport properties of nanoelectronic devices with atomistic disorder. We developed a nonequilibrium vertex correction (NVC) theory to handle the…

Mesoscale and Nanoscale Physics · Physics 2007-12-21 Youqi Ke , Ke Xia , Hong Guo

We analyze behavior of correlated electrons described by Hubbard-like models at intermediate and strong coupling. We show that with increasing interaction a pole in a generic two-particle Green function is approached. The pole signals…

Strongly Correlated Electrons · Physics 2009-10-30 V. Janis

A multi-chain mean-field theory is developed and applied to a two-dimensional system of weakly coupled S=1/2 Heisenberg chains. The environment of a chain C_0 is modeled by a number of neighbor chains C_d, d = +/-1,...,+/-n, with the edge…

Strongly Correlated Electrons · Physics 2009-10-31 Anders W. Sandvik

This work reports a theoretical framework that combines the auxiliary coherent potential approximation (ACPA-DMFT) with dynamical mean-field theory to study strongly correlated and disordered electronic systems with both diagonal and…

Strongly Correlated Electrons · Physics 2025-02-12 Zelei Zhang , Jiawei Yan , Li Huang , Youqi Ke

Single-band Hubbard model at criticality of the metal-insulator transition is studied using approximations derived from parquet theory. It is argued that only the electron-hole and interaction two-particle channels in the parquet algebra…

Strongly Correlated Electrons · Physics 2007-05-23 Vaclav Janis

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

We reexamine the problem of delocalization of two-dimensional electrons in the presence of random magnetic field. By introducing spatial correlations among random fluxes, a well-defined metal-insulator transition characterized by a…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. N. Sheng , Z. Y. Weng

We propose a mixed-configuration approximation based on single-band impurity solvers to efficiently study nonequilibrium multi-orbital systems at moderate computational cost. In this work, we merge the approach with the so-called auxiliary…

Strongly Correlated Electrons · Physics 2025-07-16 Tommaso Maria Mazzocchi , Daniel Werner , Markus Aichhorn , Enrico Arrigoni

The dynamical susceptibility of strongly correlated electronic systems can be calculated within the framework of the dynamical mean-field theory (DMFT). The required measurement of the four-point vertex of the auxiliary impurity model is…

Strongly Correlated Electrons · Physics 2019-06-06 Friedrich Krien

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

We present a mean-field approach for accurately describing strong correlations via electron number fluctuations and pairings constrained to an active space. Electron number conservation is broken and correct only on average but both spin…

Materials Science · Physics 2013-06-28 Takashi Tsuchimochi , Gustavo E. Scuseria

LDA+DMFT is a novel computational technique for ab initio investigations of real materials with strongly correlated electrons, such as transition metals and their oxides. It combines the strength of conventional band structure theory in the…

Strongly Correlated Electrons · Physics 2007-05-23 K. Held , I. A. Nekrasov , G. Keller , V. Eyert , N. Blümer , A. K. McMahan , R. T. Scalettar , T. Pruschke , V. I. Anisimov , D. Vollhardt

It is well known that conductivity of disordered metals is suppressed in the limit of low frequencies and temperatures by quantum corrections. Although predicted by theory to exist up to much higher energies, such corrections have so far…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 P. Neilinger , J. Greguš , D. Manca , B. Grančič , M. Kopčík , P. Szabó , P. Samuely , R. Hlubina , M. Grajcar

We study the two-dimensional, disordered, attractive Hubbard model by the projector quantum Monte Carlo method and Bogoliubov - de Gennes mean-field theory. Our results for the ground state show the appearance of a new phase with charge…

Condensed Matter · Physics 2009-11-07 Bhargavi Srinivasan , Dima L. Shepelyansky

We apply the linear $\delta$-expansion (LDE), originally developed as a nonperturbative, analytical approximation scheme in quantum field theory, to problems involving noninteracting electrons in disordered solids. The initial idea that the…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. P. Blencowe , A. P. Korte

Experimental evidence for the possible universality classes of the metal-insulator transition (MIT) in two dimensions (2D) is discussed. Sufficiently strong disorder, in particular, changes the nature of the transition. Comprehensive…

Strongly Correlated Electrons · Physics 2016-03-22 Dragana Popović