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A linear theory of electron transport is developed for a system of two ideal quantum wires, of length L, coupled by tunneling and Coulomb interaction. The interaction of electrons with acoustical phonons is included and the results are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. E. Raichev , P. Vasilopoulos

We use a generalized master equation (GME) formalism to describe the non-equilibrium time-dependent transport of Coulomb interacting electrons through a short quantum wire connected to semi-infinite biased leads. The contact strength…

Mesoscale and Nanoscale Physics · Physics 2013-06-07 Kristinn Torfason , Andrei Manolescu , Valeriu Molodoveanu , Vidar Gudmundsson

The diagrammatic linear response formalism for the Coulomb drag in two--layer systems is developed. This technique can be used to treat both elastic disorder and intralayer interaction effects. In the absence of intralayer…

Condensed Matter · Physics 2009-10-28 Alex Kamenev , Yuval Oreg

An interacting double layer system, with uniform positive background, is studied at finite temperature in the presense of a strong magnetic field corresponding to half filling in each layer. By mapping this system to composite fermions in…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 S. Sakhi

We consider dc-conductivity $\sigma$ of a mixture of small conducting and insulating grains slightly below the percolation threshold, where finite clusters of conducting grains are characterized by a wide spectrum of sizes. The charge…

Disordered Systems and Neural Networks · Physics 2015-05-14 A. S. Ioselevich , D. S. Lyubshin

We present a theory for Coulomb drag between two mesoscopic systems which expresses the drag in terms of scattering matrices and wave functions. The formalism can be applied to both ballistic and disordered systems and the consequences can…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Karsten Flensberg , Antti-Pekka Jauho

We prove a Central Limit Theorem for the linear statistics of two-dimensional Coulomb gases, with arbitrary inverse temperature and general confining potential, at the macroscopic and mesoscopic scales and possibly near the boundary of the…

Mathematical Physics · Physics 2018-03-01 Thomas Leblé , Sylvia Serfaty

We present an interpolative method for describing coherent transport through an interacting quantum dot. The idea of the method is to construct an approximate electron self-energy which becomes exact both in the limits of weak and strong…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 A. Levy Yeyati , A. Martin-Rodero , F. Flores

We study full counting statistics of electron tunneling in Coulomb-blockade systems in the limit of short measuring-time intervals. This limit is particularly suited to identify correlations among tunneling events, but only when analyzing…

Mesoscale and Nanoscale Physics · Physics 2016-09-27 Philipp Stegmann , Jürgen König

The charge fluctuations of two nearby mesoscopic conductors coupled only via the long range Coulomb force are discussed and used to find the dephasing rate which one conductor exerts on the other. The discussion is based on a formulation of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Buttiker

We study a geometric variational problem arising from modeling two-dimensional charged drops of a perfectly conducting liquid in the presence of an external potential. We characterize the semicontinuous envelope of the energy in terms of a…

Analysis of PDEs · Mathematics 2022-08-02 Cyrill B. Muratov , Matteo Novaga , Berardo Ruffini

We study a two-dimensional superconductor in close proximity to a two-dimensional metallic sheet. The electrons in the superconducting sheet are coupled to those in the metallic sheet by the Coulomb interaction only. We obtain an effective…

Superconductivity · Physics 2009-10-31 D. M. Gaitonde

We investigate coherent electron-switching transport in a double quantum waveguide system in a perpendicular static or vanishing magnetic field. The finite symmetric double waveguide is connected to two semi-infinite leads from both ends.…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Nzar Rauf Abdullah , Chi-Shung Tang , Andrei Manolescu , Vidar Gudmundsson

When described in a grand canonical ensemble, a finite Coulomb system exhibits charge fluctuations. These fluctuations are studied in the case of a classical (i.e. non-quantum) system with no macroscopic average charge. Assuming the…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici

We investigate the effects of Coulomb interaction on charge transfer through a quantum dot attached to a normal and a superconducting lead. While for voltages much larger than the gap we recover the usual result for normal conductors, for…

Mesoscale and Nanoscale Physics · Physics 2014-05-27 H. Soller , A. Komnik

We introduce and prove a maximum principle for a natural quantity related to the $k$-point correlation function of the classical one-component Coulomb gas. As an application, we show that the gas is confined to the droplet by a well-known…

Probability · Mathematics 2025-01-07 Eric Thoma

In the situation of two electro-statically coupled conductors a current in one conductor may induce a current in the other one. We will study this phenomenon, called Coulomb drag, in the Hubbard chain where the two ``conductors'' are given…

Strongly Correlated Electrons · Physics 2009-11-10 K. Louis , C. Gros

It was shown that tunneling current flowing through a system with Coulomb correlations leads to charge redistribution between the different localized states. Simple model consisting of two electron levels have been analyzed by means of…

Other Condensed Matter · Physics 2012-07-02 P. I. Arseyev , N. S. Maslova , V. N. Mantsevich

With the shrinking of dimensionality, Coulomb interactions play a distinct role in two-dimensional (2D) semiconductors owing to the reduced dielectric screening in the out-of-plane direction. Apart from dielectric screening, free charge…

Materials Science · Physics 2025-10-27 Ke Xiao , Chi-Ming Kan , Stuart. S. P. Parkin , Xiaodong Cui

A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik
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