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Electron-electron interactions are responsible for a correction to the conductance of a diffusive metal, the "Altshuler-Aronov correction" $\delta G_{AA}$. Here we study the counterpart of this correction for a ballistic conductor, in which…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Martin Schneider , Georg Schwiete , Piet W. Brouwer

It is well known that electron-electron interaction in disordered systems leads to logarithmically divergent Altshuler-Aronov corrections to conductivity at low temperatures ($T\tau\ll 1$; $\tau$ is the elastic mean-free time). This paper…

Condensed Matter · Physics 2009-11-07 Gabor Zala , B. N. Narozhny , I. L. Aleiner

We evaluate the electron-electron interaction corrections to the electronic thermal conductivity in a disordered conductor in the diffusive regime. We use a diagrammatic many-body method analogous to that of Altshuler and Aronov for the…

Disordered Systems and Neural Networks · Physics 2013-05-29 Douglas R. Niven , Robert A. Smith

The electron-electron interaction corrections to the transport coefficients are calculated for a two-dimensional disordered metal in a parallel magnetic field via the quantum kinetic equation approach. For the thermal transport, three…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Catelani

We study the quantum corrections to the conductivity of the two-dimensional disordered interacting electron system in the diffusive regime due to inelastic scattering off rare magnetic impurities. We focus on the case of very different…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 I. S. Burmistrov , E. V. Repin

We consider the correction $\Delta\sigma_\mathrm{ee}$ due to electron-electron interaction to the conductivity of a weakly disordered metal (Al'tshuler-Aronov correction). The correction is related to the spectral determinant of the Laplace…

Disordered Systems and Neural Networks · Physics 2008-04-10 Christophe Texier , Gilles Montambaux

We discuss the influence of the electromagnetic environment and the electron-electron interaction on the weak localization correction to the conductivity of a disordered metal. The theory of this phenomenon for sufficiently high…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Maxim Vavilov , Vinay Ambegaokar

Using a semiclassical Boltzmann equation, we calculate corrections to the Sharvin conductance of a wide 2DEG ballistic contact that result from an electron--electron scattering in the leads. These corrections are dominated by collisions of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 K. E. Nagaev , T. V. Kostyuchenko

We investigate quantum corrections to the conductivity due to the interference of electron-electron (electron-phonon) scattering and elastic electron scattering in weakly disordered conductors. The electron-electron interaction results in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Sergeev , M. Yu. Reizer , V. Mitin

The electron-electron interaction quantum correction to the conductivity of the gated double well Al$_x$Ga$_{1-x}$As/GaAs structures is investigated experimentally. The analysis of the temperature and magnetic field dependences of the…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov , A. K. Bakarov , D. V. Dmitriev

A crossover theory connecting Altshuler-Aronov electron-electron interaction corrections and Luttinger liquid behavior in quasi-1D disordered conductors has been formulated. Based on an interacting non-linear sigma model, we compute the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christophe Mora , Reinhold Egger , Alexander Altland

This paper is intended to demonstrate that there is no need to revise the existing theory of the transport properties of disordered conductors in the so-called weak localization regime. In particular, we demonstrate explicitly that recent…

Disordered Systems and Neural Networks · Physics 2009-10-31 I. L. Aleiner , B. L. Altshuler , M. E. Gershenson

We present a nonperturbative approach which allows to evaluate the weak localization correction to the conductivity of disordered conductors in the presence of interactions. The effect of the electron-electron interaction on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. D. Zaikin , D. S. Golubev

We develop a field theory formalism for the disordered interacting electron liquid in the dynamical Keldysh formulation. This formalism is an alternative to the previously used replica technique. In addition it naturally allows for the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alex Kamenev , Anton Andreev

We study quantum corrections to conductivity in a 2D system with a smooth random potential and strong spin-orbit splitting of the spectrum. We show that the interference correction is positive and down to the very low temperature can exceed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander P. Dmitriev , Igor V. Gornyi , Valentin Yu. Kachorovskii

Quantum interference corrections in ballistic conductors require a minimal time: the Ehrenfest time. In this letter, we investigate the fate of the interference corrections to quantum transport in bulk ballistic conductors if the Ehrenfest…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Altland , Piet W. Brouwer , Chushun Tian

We derive a complete expression for the interaction correction to the $I-V$ curve of two connected in series metallic quantum dots. For strongly asymmetric dots in a wide range of parameters this interaction correction depends…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Zaikin , D. Golubev

At low temperatures, the transport coefficients in the disordered electron gas acquire quantum corrections as a result of the complex interplay of disorder and interactions. The interaction corrections to the electric conductivity have…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Zahidul Islam Jitu , Georg Schwiete

The results of an experimental study of interaction quantum correction to the conductivity of two-dimensional electron gas in A$_3$B$_5$ semiconductor quantum well heterostructures are presented for a wide range of $T\tau$-parameter…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. M. Minkov , A. A. Sherstobitov , A. V. Germanenko , O. E. Rut , V. A. Larionova , A. K. Bakarov , B. N. Zvonkov

We study diffusive electron-electron interaction correction to conductivity by analyzing simultaneously $\rho_{xx}$ and $\rho_{xy}$ for disordered 2D electron systems in Si in tilted magnetic field. Tilting the field is shown to be a…

Mesoscale and Nanoscale Physics · Physics 2013-05-17 A. Yu. Kuntsevich , L. A. Morgun , V. M. Pudalov
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