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The conductance of a weakly interacting electron gas in the presense of a single scatterer is found at arbitrary strength of the scattering potential. At weak interaction, a simple renormalization group approach can be used instead of the…

Condensed Matter · Physics 2009-10-22 K. A. Matveev , Dongxiao Yue , L. I. Glazman

We have performed parameter-free calculations of electron transport across a carbon molecular junction consisting of a C$_{60}$ molecule sandwiched between two semi-infinite metallic carbon nanotubes. It is shown that the Landauer…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Gutierrez , G. Fagas , G. Cuniberti , F. Grossmann , R. Schmidt , K. Richter

We discuss how a Lagrange multiplier method of non-equilibrium steady state statistical mechanics can be applied to describe the electronic transport in a quantum wire. We describe a theoretical scheme using tight-binding model. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. S. Kosov

Using a new developed Single-Electron approach, we derive the Landauer-type formula for electron transport in arbitrary time-dependent potentials. This formula is applied for randomly fluctuating potentials represented by a dichotomic…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 Shmuel Gurvitz

Based on the Hamiltonian formalism approach, a generalized L\"uscher's formula for two particle scattering in both the elastic and coupled-channel cases in moving frames is derived from a relativistic Lippmann-Schwinger equation. Some…

High Energy Physics - Lattice · Physics 2013-08-09 Peng Guo , Jozef Dudek , Robert Edwards , Adam P. Szczepaniak

We construct a theory of charge transport by the surface states of topological insulators in three dimensions. The focus is on the experimentally relevant case when the electron doping is such that the Fermi energy $\epsilon_F$ and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Dimitrie Culcer , E. H. Hwang , Tudor D. Stanescu , S. Das Sarma

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

We present studies of ballistic transport in three terminal T-shaped junction in a linear and non-linear regime. The floating electrode acts as a scatterer and modifies the conductance in a direct channel (between source and drain…

Mesoscale and Nanoscale Physics · Physics 2011-12-30 M. Bek , B. R. Bułka , J. Wróbel

We extend the Landauer-B\"uttiker probe formalism for conductances to the high bias regime, and study the effects of environmentally-induced elastic and inelastic scattering on charge current in single molecule junctions, focusing on…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Michael Kilgour , Dvira Segal

We extend the Landauer-B\"uttiker formalism in order to accommodate both unitary and self-adjoint operators which are not bounded from below. We also prove that the pure point and singular continuous subspaces of the decoupled Hamiltonian…

Mathematical Physics · Physics 2012-12-21 Horia D. Cornean , Hagen Neidhardt , Lukas Wilhelm , Valentin A. Zagrebnov

We study the mobility and the diffusion coefficient of an inertial tracer advected by a two-dimensional incompressible laminar flow, in the presence of thermal noise and under the action of an external force. We show, with extensive…

Statistical Mechanics · Physics 2016-10-24 A. Sarracino , F. Cecconi , A. Puglisi , A. Vulpiani

We present a technique to calculate the transport properties through one-dimensional models of molecular wires. The calculations include inelastic electron scattering due to electron-lattice interaction. The coupling between the electron…

Condensed Matter · Physics 2009-10-31 H. Ness , S. A. Shevlin , A. J. Fisher

The Landauer's formula conductance of the telescoped armchair nanotubes is calculated with the Hamiltonian defined by first-principles calculations (SIESTA code). Herein, partially extracting the inner tube from the outer tube is called…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Ryo Tamura

The electron transport through the nanotube junctions which connect the different metallic nanotubes by a pair of a pentagonal defect and a heptagonal defect is investigated by Landauer's formula and the effective mass approximation. From…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Ryo Tamura , Masaru Tsukada

The accuracy of the noninteracting electron approximation is examined for a model of vibrationally coupled electron transport in single molecule junction. In the absence of electronic-vibrational coupling, steady state transport in this…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Haobin Wang , Michael Thoss

The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacting point particles in an infinite array of fixed spherical…

Dynamical Systems · Mathematics 2015-09-03 Jens Marklof

We develop a detailed theory for spin transport in a one-dimensional quantum wire described by Luttinger liquid theory. A hydrodynamic description for the quantum wire is supplemented by boundary conditions taking into account the exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Reinhold Egger

We present an implementation of the ballistic Landauer-B\"uttiker transport scheme in one-dimensional systems based on density functional theory (DFT) calculations within the full-potential linearized augmented plane-wave (FLAPW) method. In…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Björn Hardrat , Nengping Wang , Frank Freimuth , Yuriy Mokrousov , Stefan Heinze

A quantum spin Hall insulator is a two-dimensional state of matter consisting of an insulating bulk and one-dimensional helical edge states. While these edge states are topologically protected against elastic backscattering in the presence…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 N. Kainaris , I. V. Gornyi , S. T. Carr , A. D. Mirlin

We calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g_1, g_2, connected through a short junction, within the scattering state formalism. Following earlier work we formulate…

Strongly Correlated Electrons · Physics 2015-06-05 D. N. Aristov , P. Wölfle