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Combining scattering matrix theory with non-linear $\sigma$-model and Keldysh technique we develop a unified theoretical approach enabling one to non-perturbatively study the effect of electron-electron interactions on weak localization and…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Dmitri S. Golubev , 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

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 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 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

This lecture is a tutorial introduction to coherent effects in disordered electronic systems. Avoiding technicalities as most as possible, I present some personal points of view to describe well-known signatures of phase coherence like weak…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gilles Montambaux

We discuss a fundamental effect of the interaction-induced decoherence of the electron wave function in disordered metals. In the first part of the paper we consider a simple model of a quantum particle interacting with a bath of harmonic…

Condensed Matter · Physics 2009-10-31 D. S. Golubev , A. 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

The temperature and magnetic-field dependences of the resistance of one-dimensional (1D) conductors have been studied in the vicinity of the Thouless crossover. We find that on the weak localization (WL) side of the crossover, these…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. B. Khavin , M. E. Gershenson , A. L. Bogdanov

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

This is the first in a series of two papers (I and II), in which we revisit the problem of decoherence in weak localization. The basic challenge addressed in our work is to calculate the decoherence of electrons interacting with a…

Disordered Systems and Neural Networks · Physics 2007-12-02 Florian Marquardt , Jan von Delft , R. A. Smith , Vinay Ambegaokar

Shape-averaged magnetoconductance (weak localization) is used for the first time to obtain the electron phase coherence time $\tau_{\phi}$ in open ballistic GaAs quantum dots. Values for $\tau_{\phi}$ in the range of temperature T from…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. G. Huibers , M. Switkes , C. M. Marcus , K. Campman , A. C. Gossard

The performance of modern quantum devices in communication, metrology or microscopy relies on the quantum-classical interaction which is generally described by the theory of decoherence. Despite the high relevance for long coherence times…

Quantum Physics · Physics 2020-08-26 Nicole Kerker , Robin Röpke , Lea-Marina Steinert , Andreas Pooch , Alexander Stibor

We study the decoherence of a single electron spin in an isolated quantum dot induced by hyperfine interaction with nuclei for times smaller than the nuclear spin relaxation time. The decay is caused by the spatial variation of the electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alexander Khaetskii , Daniel Loss , Leonid Glazman

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

The problem of electron decoherence at low temperature is analyzed from the perspective of recent experiments on decoherence rate measurement and on related localization phenomena in low-dimensional systems. Importance of decoherence at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pritiraj Mohanty

A new statistical model for the combined effects of decoherence, energy redistribution and dissipation on electron transport in large quantum systems is introduced. The essential idea is to consider the electron phase information to be lost…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

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
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