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We develop a new unified theoretical approach enabling us to non-perturbatively study the effect of electron-electron interactions on weak localization in arbitrary arrays of quantum dots. Our model embraces (i) weakly disordered conductors…

Mesoscale and Nanoscale Physics · Physics 2008-07-22 D. Golubev , A. Zaikin

We develope a theory of a fundamental effect of the interaction-induced decoherence of the electron wave function in a disordered metal. With the aid of the Keldysh technique and the path integral formalism we derive a formally exact…

Condensed Matter · Physics 2007-05-23 Dmitrii S. Golubev , Andrei D. Zaikin

We non-perturbatively analyze the effect of electron-electron interactions on weak localization (WL) in relatively short metallic conductors with a tunnel barrier. We demonstrate that the main effect of interactions is electron dephasing…

Mesoscale and Nanoscale Physics · Physics 2008-07-01 D. S. Golubev , A. D. Zaikin

We investigate the effect of electron-electron interactions on Aharonov-Bohm (AB) current oscillations in nanorings formed by a chain of metallic quantum dots. We demonstrate that electron-electron interactions cause electron dephasing…

Mesoscale and Nanoscale Physics · Physics 2010-02-16 Andrew G. Semenov , Andrei D. Zaikin

We point out that the low temperature saturation of the electron phase decoherence time in a disordered conductor can be explained within the existing theory of weak localization provided the effect of quantum (high frequency) fluctuations…

Condensed Matter · Physics 2009-10-30 Dmitrii S. Golubev , Andrei D. Zaikin

We derive a general expression for the conductivity of a disordered conductor with electron-electron interactions (treated within the standard model) and evaluate the weak localization correction delta sigma_{wl} employing no approximations…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitri S. Golubev , Andrei D. Zaikin

Combining scattering matrix formalism with non-linear $\sigma$-model technique we analyze weak localization effects in arrays of chaotic quantum dots connected via barriers with arbitrary distribution of channel transmissions. With the aid…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitri S. Golubev , Andrei D. Zaikin

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

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We theoretically analyze the effect of electron-electron interactions on Aharonov-Bohm (AB) current oscillations in ring-shaped systems with metallic quantum dots pierced by external magnetic field. We demonstrate that electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 Andrew G. Semenov , Dmitri S. Golubev , Andrei D. Zaikin

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 point out that even at the absolute zero of temperature environmental decoherence limits the destructive interference between time-reversed paths for an electron in a disordered metal, and thus causes the leading (`weak localization')…

Condensed Matter · Physics 2008-02-03 Maxim Vavilov , Vinay Ambegaokar

We establish an explicit correspondence between perturbative and nonperturbative results in the problem of quantum decoherence in disordered conductors. We demonstrate that the dephasing time $\tau_{\phi}$ cannot be unambiguously extracted…

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

This lecture note reviews a variety of transport and thermodynamic measurements of electron decoherence time in low-dimensional conductors at low temperature. The mechanism of dephasing by electron interaction mediated by an arbitrarily…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Mohanty

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

Electron transport through disordered quasi one-dimensional quantum systems is studied. Decoherence is taken into account by a spatial distribution of virtual reservoirs, which represent local interactions of the conduction electrons with…

Quantum Physics · Physics 2014-02-06 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

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 perform a brief but critical review of the Landauer picture of transport that clarifies how decoherence appears in this approach. On this basis, we present different models that allow the study of the coherent and decoherent effects of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. M. Pastawski , L. E. F. Foa Torres , Ernesto Medina

We perform self-consistent quantum transport calculations in open quantum dots taking into account the effect of electron interaction. We demonstrative that in the regime of the ultralow temperatures $2\pi k_BT\lesssim\Delta$ ($\Delta $…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Ihnatsenka , I. V. Zozoulenko
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