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It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

We revisit the problem of inelastic times governing the temperature behavior of the weak localization correction and mesoscopic fluctuations in one- and two-dimensional systems. It is shown that, for dephasing by the electron electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. L. Aleiner , Ya. M. Blanter

These lectures provide an introduction to the theory of disordered interacting electron systems. In particular, we concentrate on those aspects which are fundamental for the problem of the metal-insulator transition due to the interplay of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Carlo Di Castro , Roberto Raimondi

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

We consider two one-dimensional quantum $XX$ magnets linked by a periodically driven quantum point contact (QPC). If magnets are initially polarized in opposite directions, one expects that a spin current through the QPC will establish. It…

Mesoscale and Nanoscale Physics · Physics 2024-10-02 Igor Ermakov , Oleg Lychkovskiy

The combined influence of disorder and interactions on the transport properties of electrons in one dimension is investigated. The numerical simulations are carried out by means of the Hartree-Fock-based diagonalization (HFD), a very…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Michael Schreiber , Frank Epperlein , Thomas Vojta

We consider electron-electron interaction effects in quantum point contacts on the first quantization plateau, taking into account all scattering processes. We compute the low-temperature linear and nonlinear conductance, shot noise, and…

Mesoscale and Nanoscale Physics · Physics 2009-02-27 A. M. Lunde , A. De Martino , A. Schulz , R. Egger , K. Flensberg

We consider the effect of electron-electron interactions on the current-in-plane (CIP) conductivity and exchange coupling energy of a disordered metallic magnetic multilayer. We analyze its dependence on the value of ferromagnetic splitting…

Mesoscale and Nanoscale Physics · Physics 2010-09-29 Vladimir A. Zyuzin , A. Yu. Zyuzin

We study the electron-phonon relaxation (dephasing) rate in disordered semiconductors and low-dimensional structures. The relaxation is determined by the interference of electron scattering via the deformation potential and elastic electron…

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

A time-dependent inelastic electron transport theory for strong electron-phonon interaction is established via the equations of motion method combined with the small polaron transformation. In this work, the dissipation via electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2015-05-21 Yu Zhang , ChiYung Yam , GuanHua Chen

We investigate the dephasing of mesoscopic interferences by electron-electron interactions in a strictly one-dimensional geometry composed of two weakly-coupled (clean and very long) Luttinger liquids. The main goal of this paper is to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Karyn Le Hur

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

Temperature dependence of electron dephasing time $\tau_\phi(T)$ is calculated for a disordered metal with small concentration of superconductive grains. Above the macroscopic superconducting transition line, when electrons in the metal are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. A. Skvortsov , A. I. Larkin , M. V. Feigel'man

We establish a connection between the influence functional approach of Golubev and Zaikin (GZ) and Keldysh diagrammatic perturbation theory for calculating the decoherence time of interacting electrons in disordered metals; we show how the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Jan von Delft

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

The dephasing time of disordered two-dimensional electron gas in a modulated magnetic field is studied. It is shown that in the weak inhomogeneity limit, the dephasing rate is proportional to the field amplitude, while in strong…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Xiao-Bing Wang

We present a calculation of the dephasing time of electrons in a ferromagnet relevant for the conductance fluctuations. We focus on the contribution from the interaction with spin waves. Explicit results are presented for a…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Jeroen Danon , Piet W. Brouwer

The dephasing time in coupled mesoscopic conductors is caused by the fluctuations of the dipolar charge permitted by the long range Coulomb interaction. We relate the phase breaking time to elementary transport coefficients which describe…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Markus Buttiker , Andrew M. Martin

We apply time-dependent density-functional theory to study many-electron transport in Aharonov-Bohm interferometers in a non-equilibrium situation. The conductance properties in the system are complex and depend on the enclosed magnetic…

Strongly Correlated Electrons · Physics 2013-10-31 A. Salman , V. Kotimaki , A. Siddiki , E. Rasanen

Employing a real time effective action formalism we analyze electron transport and current fluctuations in comparatively short coherent conductors in the presence of electron-electron interactions. We demonstrate that, while Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri S. Golubev , Artem V. Galaktionov , Andrei D. Zaikin