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It was shown using perturbation theory[1] that Thouless energy Ec for a quantum system scales linearly with the conductance of the system. We derive in an alternate way in 1-D that Ec scales with the conductance in a very different way. We…

Condensed Matter · Physics 2008-02-03 P. Singha Deo

The interplay between interference effects and electron-electron interactions in electron transport through an interacting double quantum dot system is investigated using a hierarchical quantum master equation approach which becomes exact…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 R. Härtle , G. Cohen , D. R. Reichman , A. J. Millis

The self-consistent Born approximation quantitatively fails to capture disorder effects in semimetals. We present an alternative, simple-to-use non-perturbative approach to calculate the disorder induced self-energy. It requires a…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 Björn Sbierski , Christian Fräßdorf

In a typical scenario the diagrammatic many-body perturbation theory generates asymptotic series. Despite non-convergence, the asymptotic expansions are useful when truncated to a finite number of terms. This is the reason for popularity of…

Strongly Correlated Electrons · Physics 2016-01-19 Yaroslav Pavlyukh , Jamal Berakdar , Angel Rubio

Cation disorder is an important design criterion for technologically relevant transition-metal (TM) oxides, such as radiation-tolerant ceramics and Li-ion battery electrodes. In this letter, we use a combination of first-principles…

Materials Science · Physics 2017-11-22 Alexander Urban , Aziz Abdellahi , Stephen Dacek , Nongnuch Artrith , Gerbrand Ceder

Understanding the charge carrier transport in the disordered organic molecular semiconductors is a fascinating and still unresolved problem in modern condensed-matter physics, yet has an extremely important bearing on their application in…

Materials Science · Physics 2007-05-23 Ajit Kumar Mahapatro , Subhasis Ghosh

The open nonlinear electrodynamic system - nonlinear transverse non-homogeneous dielectric layer, is an example of inorganic system having the properties of self-organization, peculiar to biological systems. The necessary precondition of…

Computational Physics · Physics 2007-05-23 V. V. Yatsyk

Kohn's theory of Drude conductivity, established in a many-body framework, addresses even systems with disorder and correlation, besides the ordinary band metals (i.e. crystalline systems of independent electrons). Kohn's theory is here…

Materials Science · Physics 2021-11-25 Raffaele Resta

We have examined the electrical transport in disordered molecular solids. It has been found that mobility is a function of electric field and temperature due to hopping conduction. Several theoretical models for charge transport in…

Materials Science · Physics 2007-05-23 Ajit Kumar Mahapatro , Subhasis Ghosh

A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiation continuum. It is shown that the solution is not analytic in the nonlinear susceptibility and the conventional perturbation theory…

Mathematical Physics · Physics 2012-03-12 Friends Remy Ndangali , Sergei V. Shabanov

A two-band model of a disordered semiconductor is used to analyze dynamical interaction induced weakening of localization in a system that is accessible to experimental verification. The results show a dependence on the sign of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Brinkmann , J. E. Golub , S. W. Koch , P. Thomas , K. Maschke , I. Varga

We investigate, both analytically and numerically, the behavior of the electron gas on a sphere in the presence of point-like impurities. We find a criterion when the disorder can be regarded as small one and the main effect is the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. N. Aristov

Exact finite-energy solutions to the nonlinear governing equations of the Born-Infeld theory of electrodynamics, describing continuous distributions of electric, magnetic, and dyonic charge sources, in both classical and generalized…

High Energy Physics - Theory · Physics 2024-12-10 Yisong Yang

We consider the two-level correlation function in two-dimensional disordered systems. In the non-ergodic diffusive regime, at energy $\epsilon>E_{c}$ ($E_{c}$ is the Thouless energy), it is shown to be completely determined by the weak…

Condensed Matter · Physics 2016-08-31 Vladimir E. Kravtsov , Igor V. Lerner

An expression for the conductance of interacting electrons in the diffusive regime as a function of the ensemble averaged persistent current and the compressibility of the system is presented. This expression involves only ground-state…

Condensed Matter · Physics 2009-10-28 Richard Berkovits , Yshai Avishai

We study the thermal conductivity of the disordered two-dimensional electron gas. To this end we analyze the heat density-heat density correlation function concentrating on the scattering processes induced by the Coulomb interaction in the…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 G. Schwiete , A. M. Finkel'stein

We study the response of the transmission eigenvalue spectrum of disordered metallic conductors to an arbitrary external perturbation. For systems without time-reversal symmetry we find an exact non-perturbative solution for the two-point…

Condensed Matter · Physics 2009-10-22 A. M. S. Macedo

Inspired by the recent discovery of a successive evolutions of electronically ordered states, we present a self-consistent theoretical analysis that treats the interactions responsible for the chiral charge order and superconductivity on an…

Superconductivity · Physics 2024-03-20 Hong-Min Jiang , Min Mao , Zhi-Yong Miao , Shun-Li Yu , Jian-Xin Li

Using exact diagonalization numerical methods, as well as analytical arguments, we show that for the typical electron densities in chaotic and disordered dots the peak spacing distribution is not bimodal, but rather Gaussian. This is in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Richard Berkovits

Ion transport in porous media is present in a wealth of technologies, e.g., energy storage devices such as batteries and supercapacitors, and environmental technologies such as electrochemical carbon capture and capacitive deionization.…

Soft Condensed Matter · Physics 2022-06-17 Filipe Henrique , Pawel J. Zuk , Ankur Gupta
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