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We show that the interaction constant governing the long-range electron-electron interaction in a quantum wire coupled to two reservoirs and capacitively coupled to a gate can be determined by a low frequency measurement. We present a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ya. M. Blanter , F. W. J. Hekking , M. Buttiker

The linear response conductance coefficients are calculated in the scattering approach at finite frequency, damping and magnetic field for a microstructure in which the reservoirs are modeled as quantum wire leads of infinite length but…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jens U. Noeckel , Klaus Richter

Using bosonization we derive the dc conductance G(L,T) of an interacting quantum wire with good contacts including current relaxing backscattering and Umklapp processes. Our result yields the dependence of the conductance on length L and…

Strongly Correlated Electrons · Physics 2013-02-01 N. Sedlmayr , P. Adam , J. Sirker

We report a scattering matrix theory for dynamic and nonlinear transport in coherent mesoscopic conductors. In general this theory allows predictions of low frequency linear dynamic conductance, as well as weakly nonlinear DC conductance.…

Condensed Matter · Physics 2009-10-30 Zhong-shui Ma , Jian Wang , Hong Guo

We have developed a scattering matrix approach to coherent transport through an adiabatically driven conductor based on photon-assisted processes. To describe the energy exchange with the pumping fields we expand the Floquet scattering…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. Buttiker , M. Moskalets

We study the transport in a Luttinger liquid coupled to a magnetic chain containing a Bloch domain wall. We compute the leading correction to the adiabatic limit of a long domain wall, which causes no scattering. We show that the problem is…

Strongly Correlated Electrons · Physics 2007-05-23 R. G. Pereira , E. Miranda

The conductance of one-dimensional nano-wires of interacting electrons connected to non-interacting leads is calculated in the linear response regime. Two different approaches are used: a many-body Green function technique and a relation to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. Meden , U. Schollwoeck

We calculate the conductance of a quantum wire with two occupied subbands in a presence of a barrier taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. V. Borin , K. E. Nagaev

In a recent paper, we combined the technique of bosonization with the concept of a Rayleigh dissipation function to develop a model for resistances in one-dimensional systems of interacting spinless electrons [arXiv:1011.5058]. We also…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Abhiram Soori , Diptiman Sen

The one-dimensional scattering of a two body interacting system by an infinite wall is studied in a quantum-mechanical framework. This problem contains some of the dynamical features present in the collision of atomic, molecular and nuclear…

Nuclear Theory · Physics 2010-10-26 A. M. Moro , J. A. Caballero , J. Gomez-Camacho

This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposition of an unperturbed interface Hamiltonian, we present a…

Spectral Theory · Mathematics 2025-08-13 Binglu Chen , Guillaume Bal

In the first part of our theoretical study of correlated atomic wires on substrates, we introduced lattice models for a one-dimensional quantum wire on a three-dimensional substrate and their approximation by quasi-one-dimensional effective…

Strongly Correlated Electrons · Physics 2017-08-09 Anas Abdelwahab , Eric Jeckelmann , Martin Hohenadler

A method to derive the charge current density and its quantum mechanical correlation from the scattering matrix is discussed for quantum scattering systems described by a time-dependent Hamiltonian operator. The current density and charge…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tooru Taniguchi

The scattering matrix approach is employed to determine a joint probability density function of reflection eigenvalues for chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Derived under…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Pedro Vidal , Eugene Kanzieper

Wave scattering in chaotic systems with a uniform energy loss (absorption) is considered. Within the random matrix approach we calculate exactly the energy correlation functions of different matrix elements of impedance or scattering…

Chaotic Dynamics · Physics 2007-05-23 D. V. Savin , Y. V. Fyodorov , H. -J. Sommers

The dynamical conductance of electrically contacted single-walled carbon nanotubes is measured from dc to 10 GHz as a function of source-drain voltage in both the low-field and high-field limits. The ac conductance of the nanotube itself is…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Z. Yu , P. J. Burke

We report on measurements of the electrical conductivity in both a 2D triangular lattice of metallic beads and in a chain of beads. The voltage/current characteristics are qualitatively similar in both experiments. At low applied current,…

Other Condensed Matter · Physics 2007-10-16 Mathieu Creyssels , Stéphane Dorbolo , Alexandre Merlen , Claude Laroche , Bernard Castaing , Eric Falcon

We apply the Poynting theorem to the scattering of monochromatic electromagnetic planes waves with normal incidence to the interface of two different media. We write this energy conservation theorem to introduce a natural definition of the…

Classical Physics · Physics 2008-10-30 V. Dominguez-Rocha , C. Zagoya , M. Martinez-Mares

We calculate the correlation functions and the DC conductivity of Luttinger liquid superlattices, modeled by a repeated pattern of interacting and free Luttinger liquids. In a specific realization, where the interacting subsystem is a…

Strongly Correlated Electrons · Physics 2007-05-23 J. Silva-Valencia , E. Miranda , Raimundo R. dos Santos

We consider the scattering theory for the Schr\"odinger operator $-\Dc_x^2+V(x)$ on graphs made of one-dimensional wires connected to external leads. We derive two expressions for the scattering matrix on arbitrary graphs. One involves…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Christophe Texier , Gilles Montambaux
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