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We prove that a diagrammatic evaluation of the Kubo formula for the electronic transport conductivity due the exchange of bosonic excitations, in the usual conserving ladder approximation, yields a result consistent with the Boltzmann…

Statistical Mechanics · Physics 2015-05-13 D. Belitz , T. R. Kirkpatrick

We develop the general non-equilibrium theory of transport through a quantum dot, including Coulomb Blockade effects via a 1/N expansion, where N is the number of scattering channels. At lowest order we recover the Landauer formula for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Piet W. Brouwer , Austen Lamacraft , Karsten Flensberg

Unprecedented control over the manufacture of electronic devices on nanometer scale has allowed to perform highly controllable and fine-tuned experiments in the quantum regime where exotic effects can nowadays be measured. In quantum dot…

Strongly Correlated Electrons · Physics 2022-12-20 Emma L. Minarelli

We study the electron transport in open quantum-dot systems described by the interacting resonant-level models with Coulomb interactions. We consider the situation in which the quantum dot is connected to the left and right leads…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Akinori Nishino , Naomichi Hatano , Gonzalo Ordonez

The quantum transport via a donor (D)-bridge (B)-acceptor (A) single molecule is studied using density functional theory in conjunction with the Landauer-B\"{u}ttiker formalism. Asymmetric electrical response for opposite biases is observed…

Mesoscale and Nanoscale Physics · Physics 2008-09-22 Haiying He , Ravindra Pandey , Govind Mallick , Shashi P. Karna

We present an experimental test of Kubo formula performed on a nonlinear quantum conductor, a Superconductor-Insulator-Superconductor tunnel junction, driven far from equilibrium by a DC voltage bias. We implement the proposal of Lesovik…

Mesoscale and Nanoscale Physics · Physics 2025-11-13 Zubair Iftikhar , Jonas Müller , Yuri Mukharsky , Philippe Joyez , Patrice Roche , Carles Altimiras

At zero temperature, the Landauer formalism combined with static density functional theory is able to correctly reproduce the Kondo plateau in the conductance of the Anderson impurity model provided that an exchange-correlation potential is…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 G. Stefanucci , S. Kurth

We investigate the effect of electron-electron interactions on the conductance of quasi one-dimensional systems without potential scattering. For a finite temperature or system length, the short-range interaction is not renormalized to 0,…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 Arisato Kawabata

Exact formulas for the Hall coefficient, modified Nernst coefficient, and thermal Hall coefficient of metals are derived from the Kubo formula. These coefficients depend exclusively on equilibrium (time independent) susceptibilities, which…

Strongly Correlated Electrons · Physics 2019-03-27 Assa Auerbach

We develop a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Shmuel Gurvitz

The effects of different contact geometries, bond dimerization, and gate voltage on quantum transport through a C$_{60}$ molecule are studied by the Landauer-B\"{u}ttiker formula based on the Green's function technique. It is shown that the…

Mesoscale and Nanoscale Physics · Physics 2008-08-12 Alireza Saffarzadeh

Calculating an exact self energy for ab initio transport calculations relevant to ``Molecular Electronics'' can be troublesome. Errors or insufficient approximations made at this step are often the reason why many molecular transport…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Evers , A. Arnold

Conventional wisdom teaches us that the electrical conductivity in a material is the inverse of its resistivity. In this work, we show that when both of these transport coefficients are defined in linear response through the Kubo formulae…

High Energy Physics - Theory · Physics 2025-03-04 Giorgio Frangi , Sašo Grozdanov

We compare the Landauer, Kubo, and microcanonical [J. Phys. Cond. Matter {\bf 16}, 8025 (2004)] approaches to quantum transport for the average current, the entanglement entropy and the semiclassical full-counting statistics (FCS). Our…

Quantum Gases · Physics 2014-08-20 Chih-Chun Chien , Massimiliano Di Ventra , Michael Zwolak

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

Charge transport through molecular junctions is often described either as a purely coherent or a purely classical phenomenon, and described using the Landauer-B\"uttiker formalism or Marcus theory, respectively. Using a generalised quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Jakub K. Sowa , Jan A. Mol , G. Andrew D. Briggs , Erik M. Gauger

We present a general method for calculating coherent electronic transport in quantum wires and tunnel junctions. It is based upon a real space high order finite difference representation of the single particle Hamiltonian and wave…

Materials Science · Physics 2007-05-23 Petr A. Khomyakov , Geert Brocks

We present first-principles calculations of the rate of energy exchanges between electrons and ions in nonequilibrium warm dense plasmas, liquid metals and hot solids, a fundamental property for which various models offer diverging…

Plasma Physics · Physics 2019-05-29 Jacopo Simoni , Jérôme Daligault

Using the operational framework of completely positive, trace preserving operations and thermodynamic fluctuation relations, we derive a lower bound for the heat exchange in a Landauer erasure process on a quantum system. Our bound comes…

Quantum Physics · Physics 2015-02-11 John Goold , Mauro Paternostro , Kavan Modi

We present a quaternion-inspired formalism specifically developed to evaluate the electric current that traverses a single molecule subjected to an externally applied voltage. The molecule of interest is covalently connected to two small…

Mesoscale and Nanoscale Physics · Physics 2014-08-06 Augusto C. L. Moreira , Celso P. de Melo