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Based on a selfconsistent theory of localization we study the electron transport properties of a disordered system in the framework of the Anderson model on a Bethe lattice. In the calculation of the dc conductivity we separately discuss…

强关联电子 · 物理学 2009-11-10 A. Alvermann , F. X. Bronold , H. Fehske

The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

无序系统与神经网络 · 物理学 2026-03-26 Václav Janiš

We consider a finite, disordered 1D quantum lattice with a side-attached impurity. We study theoretically the transport of a single electron from the impurity into the lattice, at zero temperature. The transport is dominated by Anderson…

介观与纳米尺度物理 · 物理学 2018-08-15 Bradley Magnetta , Gonzalo Ordonez , Savannah Garmon

Using mean field approach, we provide analytical and numerical solution of the symmetric Anderson lattice for arbitrary dimension at half filling. The symmetric Anderson lattice is equivalent to the Kondo lattice, which makes it possible to…

强关联电子 · 物理学 2021-03-15 Igor N. Karnaukhov

Transport in disordered systems often occurs via the variable range hopping (VRH) in the dilute carrier density limit, where electrons hop between randomly distributed localized levels. We study the nonequilibrium transport by a uniform DC…

无序系统与神经网络 · 物理学 2025-09-24 Kunal Mozumdar , Herbert F. Fotso , Jong E. Han

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…

强关联电子 · 物理学 2007-05-23 Franz X. Bronold , Andreas Alvermann , Holger Fehske

We consider an Anderson lattice model with a spin 1/2 degenerated conduction electron band and localized ionic CEF-levels, classified according to the irreducible representation of the point group of the lattice. We present the…

凝聚态物理 · 物理学 2009-10-28 F. B. Anders , D. L. Cox

We numerically analyze the energy level statistics of the Anderson model with Gaussian site disorder and constant hopping. The model is realized on different two-dimensional lattices, namely, the honeycomb, the kagom\'e, the square, and the…

介观与纳米尺度物理 · 物理学 2015-11-20 Dayasindhu Dey , Manoranjan Kumar , Pragya Shukla

The interplay of fluctuations, ergodicity, and disorder in many-body interacting systems has been striking attention for half a century, pivoted on two celebrated phenomena: Anderson localization predicted in disordered media, and…

统计力学 · 物理学 2021-09-16 Yagmur Kati

Electrons at the Fermi energy may lose their ability to propagate to long distances in certain random media. We use Green functions and solve parquet equations for the non-local electron-hole vertex in high spatial dimensions to describe…

无序系统与神经网络 · 物理学 2025-05-12 Václav Janiš

The intricate relationship between electrons and the crystal lattice is a linchpin in condensed matter, traditionally described by the Fr\"ohlich model encompassing the lowest-order lattice-electron coupling. Recently developed quantum…

强关联电子 · 物理学 2024-07-02 Yoel Zimmermann , Joonas Keski-Rahkonen , Anton M. Graf , Eric J. Heller

We study ground state and finite temperature properties of disordered heavy fermion metals by using a generalization of dynamical mean field theory which incorporates Anderson localization effects. The emergence of a non-Fermi liquid…

强关联电子 · 物理学 2007-05-23 M. C. O. Aguiar , E. Miranda , V. Dobrosavljevic

We have examined the behaviour of noninteracting electrons moving on a corner-sharing tetrahedral lattice into which we introduce a uniform (box) distribution, of width W, of random on-site energies. We have used both the relative…

强关联电子 · 物理学 2009-11-11 F. Fazileh , X. Chen , R. J. Gooding , K. V. Tabunshchyk

We have studied the peculiarities of electron transport in one-dimensional (1D) disordered chain at the presence of correlations between on-site interaction and tunneling integrals. In the considered models the disorder in host-lattice…

无序系统与神经网络 · 物理学 2025-07-01 V. Slavin , Y. Savin , M. Klimov , M. Kiyashko

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…

强关联电子 · 物理学 2015-05-18 K. Byczuk , W. Hofstetter , D. Vollhardt

We study the electron transport in a deformable lattice modeled in the semiclassical approximation as a discrete nonlinear elastic chain where acoustic phonons are in thermal equilibrium at temperature T. We reveal that an effective dynamic…

无序系统与神经网络 · 物理学 2018-08-29 A. V. Savin , Y. S. Kivshar , M. I. Molina

We examine theoretically and experimentally the localized %and extended electrical modes existing in a bi-inductive electrical lattice containing a bulk or a surface capacitive impurity. By means of the formalism of lattice Green's…

斑图形成与孤子 · 物理学 2019-12-18 M. I. Molina , L. Q. English , M-H. Chang , P. G. Kevrekidis

Anderson localization (AL) phenomena usually exists in systems with random potential. However, disorder-free quantum many-body systems with local conservation can also exhibit AL or even many-body localization transition. In this work, we…

强关联电子 · 物理学 2020-10-20 Wei-Wei Yang , Lan Zhang , Xue-Ming Guo , Yin Zhong

We show that a discrete tight-binding model representing either a random or a quasiperiodic array of bonds, can have the entire energy spectrum or a substantial part of it absolutely continuous, populated by extended eigenfunctions only,…

无序系统与神经网络 · 物理学 2014-09-02 Biplab Pal , Arunava Chakrabarti

The formalism for exactly calculating the retarded and advanced Green's functions of strongly correlated lattice models in a uniform electric field is derived within dynamical mean-field theory. To illustrate the method, we solve for the…

强关联电子 · 物理学 2009-07-09 A. V. Joura , J. K. Freericks , Th. Pruschke
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