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Thermoelectric transport involving an arbitrary number of terminals is discussed in the presence of a magnetic field breaking time-reversal symmetry within the linear response regime using the Landauer-B\"uttiker formalism. We derive a…

Statistical Mechanics · Physics 2013-10-14 Kay Brandner , Udo Seifert

We consider a one dimensional mesoscopic capacitor in the presence of strong electron interactions and compute its admittance in order to probe the universal nature of the relaxation resistance. We use a combination of perturbation theory,…

Mesoscale and Nanoscale Physics · Physics 2010-04-27 Yuji Hamamoto , Thibaut Jonckheere , Takeo Kato , Thierry Martin

We have investigated the local magneto-transport in high-quality 2D electron systems at low carrier densities. The positive magneto-resistance in perpendicular magnetic field in the strongly insulating regime has been measured to evaluate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Ghosh , M. Pepper , H. E. Beere , D. A. Ritchie

The standard physical model of contemporary mesoscopic noise and transport consists in a phenomenologically based approach, proposed originally by Landauer and since continued and amplified by Buettiker (and others). Throughout all the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frederick Green , Mukunda P. Das

The Landauer-Butikker formalism is an important formalism to study mesoscopic systems. Its validity for linear transport is well established theoretically as well as experimentally. Akkermans et al [Phys. Rev. Lett. {\bf 66}, 76 (1991)] had…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Sheelan Sengupta Chowdhury , P. Singha Deo , A. M. Jayannavar , M. Manninen

The linear response theory is used to describe magnetoresistance oscillations of short-period unilateral superlattices with strong modulation (or alternatively arrays of coupled quantum wires). The semiclassical description of this system…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Karel Vyborny , Ludvik Smrcka , Rainer A. Deutschmann

The Landauer formula provides a general scattering formulation of electrical conduction. Despite its utility, it has been mainly applied to the linear-response regime, and a scattering theory of nonlinear response has yet to be fully…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 Kohei Kawabata , Masahito Ueda

We consider a system of two coupled ordinary differential equations which appears as an envelope equation in Bose-Einstein Condensation. This system can be viewed as a nonlinear extension of the celebrated model introduced by Landau and…

Analysis of PDEs · Mathematics 2013-08-20 Rémi Carles , Clotilde Fermanian Kammerer

We study the transport behavior induced by a small bias voltage through a quantum dot connected to one-channel finite-size wires. We describe the quantum dot by the Hubbard-Kondo which is solved by means of a quantum Monte Carlo method. We…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 Alberto Camjayi , Liliana Arrachea

We introduce a novel method to find exact density operators for a spin-1/2 particle in time-dependent magnetic fields by using the one-mode bosonic representation of $su(2)$ and the connection with a time-dependent oscillator. As…

Quantum Physics · Physics 2007-11-11 Sang Pyo Kim

The present manuscript was written in 1994 and was not published. It addresses the form that the quantum-mechanical current density must take in mesoscopic treatments of semiconductor heterostructures, in which the electron dispersion…

Mesoscale and Nanoscale Physics · Physics 2015-09-22 William R. Frensley

We study both static and transport properties of model quantum dots, employing density functional theory as well as (numerically) exact methods. For the lattice model under consideration the accuracy of the local-density approximation…

Mesoscale and Nanoscale Physics · Physics 2011-04-11 S. Schenk , P. Schwab , M. Dzierzawa , U. Eckern

In this Letter, we study theoretically reflectance of a monolayer comprizing regularly spaced quantum $\Lambda$-emitters. Due to high density of the latter, the monolayer almost totally reflects the incident field in the vicinity of the…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 Igor V. Ryzhov , Ramil F. Malikov , Victor A. Malyshev

This paper describes how coherent backscattering is altered by an external magnetic field. In the theory presented, magneto-optical effects occur inside Mie scatterers embedded in a non-magnetic medium. Unlike previous theories based on…

Mesoscale and Nanoscale Physics · Physics 2011-03-07 D. Lacoste , B. A. van Tiggelen

Magnetic gels are composite materials, consisting of a polymer matrix and embedded magnetic particles. Those are mechanically coupled to each other, giving rise to the magnetostrictive effects as well as to a controllable overall elasticity…

Soft Condensed Matter · Physics 2023-06-21 Segun Goh , Andreas M. Menzel , René Wittmann , Hartmut Löwen

The finding of a new formulation of the magnetization vector of a quantum system interacting with a static uniform magnetic field\cite{Selenu1} is reported. There a gauge invariant form of its divergence is shown being expressed as a…

Materials Science · Physics 2021-02-03 S. Selenu

The conductance in an extended multiband Hubbard model describing linear arrays of up to ten quantum dots is calculated via a Lanczos technique. A pronounced suppression of certain resonant conductance peaks in an applied magnetic field due…

Condensed Matter · Physics 2008-02-03 C. A. Stafford , S. Das Sarma

Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

We compute the complete spectrum of the displacement Hessian operator, which is obtained from the confined porous medium equation by linearization around its stationary attractor, the Barenblatt profile. On a formal level, the operator is…

Analysis of PDEs · Mathematics 2013-10-07 Christian Seis

In the recent paper [17] the first experimental determination of the density matrix of a free electron beam has been reported. The employed method leads to a linear inverse problem with a positive semidefinite operator as unknown. The…

Analysis of PDEs · Mathematics 2020-02-19 Cong Shi , Claus Ropers , Thorsten Hohage