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Transport through small interacting systems connected to noninteracting leads is studied based on the Kubo formalism using a Eliashberg theory of the analytic properties of the vertex part. The transmission probability, by which the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Akira Oguri

We apply a theory for the transmission probability of small interacting systems, which was formulated based on the Kubo formalism in our previous study, to a series of quantum dots described by the N-impurity Anderson model. In this report,…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Akira Oguri

We describe microscopic theory for the quantum transport through finite interacting systems connected to noninteracting leads. It can be applied to small systems such as quantum dots, quantum wires, atomic chain, molecule, and so forth. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Oguri

We study the relation between the dc conductance and the transmission through an interacting region based on the Kubo formalism using the perturbation analysis in the Coulomb interaction developed by Yamada-Yosida and Shiba. We find that…

Strongly Correlated Electrons · Physics 2009-10-30 Akira Oguri

We present a novel way of defining transmission coefficient of one spatial dimensional few interacting electrons system. The formalism is based on the probability interpretation of unitarity of physical scattering $S$-matrix. The relation…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Peng Guo , Vladimir Gasparian

We study the effects of electron correlation on transport through an interacting region connected to multi-mode leads based on the perturbation expansion with respect to the inter-electron interaction. At zero temperature the conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yoshihide Tanaka , Akira Oguri , Hiroumi Ishii

The time-dependent transport through a nano-scale device, consisting of a single spin-degenerate orbital with on-site Coulomb interaction, coupled to two leads, is investigated. Various gate and bias voltage time-dependences are considered.…

Mesoscale and Nanoscale Physics · Physics 2014-06-30 V. Vovchenko , D. Anchishkin , J. Azema , P. Lombardo , R. Hayn , A. -M. Daré

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 report a fully microscopic theory for transconductivity, or, equivalently, momentum transfer rate, of Coulomb coupled electron systems. We use the Kubo linear response formalism, and our main formal result expresses the transconductivity…

Condensed Matter · Physics 2009-10-28 Karsten Flensberg , Ben Yu-Kuang Hu , Antti-Pekka Jauho , Jari M. Kinaret

In this review, we survey the current progress in computing transport properties in semimetals which harbour non-Fermi liquid phases. We first discuss the widely-used Kubo formalism, which can be applied to the effective theory describing…

Strongly Correlated Electrons · Physics 2024-08-28 Ipsita Mandal , Hermann Freire

Transport coefficients can be obtained from 2-point correlators using the Kubo formulae. It has been shown that the full leading order result for electrical conductivity and (QCD) shear viscosity is contained in the re-summed 2-point…

High Energy Physics - Phenomenology · Physics 2010-04-29 M. E. Carrington , E. Kovalchuk

Exploring the transport properties of different materials brings new avenue for basic understanding of emergent phenomena and practical applications in many different fields. Here, we report a program named as TRACK (TRAnsport properties…

Strongly Correlated Electrons · Physics 2021-10-15 Antik Sihi , Sudhir K. Pandey

We study the interacting quantum dot coupled to the normal and superconducting leads by means of a continuous-time quantum Monte Carlo method in the Keldysh-Nambu formalism. Deducing the steady current through the quantum dot under a finite…

Strongly Correlated Electrons · Physics 2014-11-10 Akihisa Koga

We develop a theory for the nonequilibrium coherent transport through a mesoscopic region, based on the nonequilibrium Green function technique. The theory requires the weak coupling between the central mesoscopic region and the multiple…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Yu Zhu , Tsung-han Lin , Qing-feng Sun

We consider the dispersion properties of tracer particles moving in non-equilibrium heterogeneous periodic media. The tracer motion is described by a Fokker-Planck equation with arbitrary spatially periodic (but constant in time) local…

Statistical Mechanics · Physics 2015-12-09 T. Guérin , D. S. Dean

The Kubo formula for the electrical conductivity is rewritten in terms of a sum of Drude-like contributions associated to the exact eigenstates of the interacting system, each characterized by its own frequency-dependent relaxation time.…

Other Condensed Matter · Physics 2014-08-01 G. De Filippis , V. Cataudella , A. de Candia , A. S. Mishchenko , N. Nagaosa

Motivated by the recently observed failure of the kinetic theory for the bulk viscosity, we in turn revisit the shear viscosity and the thermal conductivity of two-component fermions with a zero-range interaction both in two and three…

Quantum Gases · Physics 2024-12-04 Keisuke Fujii , Yusuke Nishida

In this paper, we review and substantially develop the recently proposed "Microscopic Response Method", which has been devised to compute transport coefficients and especially associated temperature dependence in complex materials. The…

Statistical Mechanics · Physics 2023-07-19 MingLiang Zhang , D. A. Drabold

Keldysh formalism is used to get the current-voltage characteristic of a small system of interacting electrons described by a Hubbard model coupled to metallic wires. The numerical procedure is checked recovering well-known results for an…

Strongly Correlated Electrons · Physics 2009-11-10 G. Chiappe , J. A. Verges

Within the framework of the scattering matrix formalism the nonlinear Kubo theory for electron transport in the metal with a tunnel barrier has been considered. A general expression for the mean electrical current was obtained. It…

Statistical Mechanics · Physics 2018-02-07 E. E. Zubov
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