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We propose a non-perturbative $ab$ $initio$ approach to calculate the electrical conductivity of a liquid metal. Our approach is based on the Kubo formula and the theory of electron-phonon coupling (EPC), and unlike the conventional…

Materials Science · Physics 2022-04-26 Xiao-Wei Zhang , Haoran Chen , En-Ge Wang , Junren Shi , Xin-Zheng Li

We study effects of electron correlation on the transport through a small interacting system connected to reservoirs using an effective Hamiltonian which describes the free quasi-particles of a Fermi liquid. The effective Hamiltonian is…

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

A pioneering experiment [E. Schuster, E. Buks, M. Heiblum, D. Mahalu, V. Umansky, and Hadas Shtrikman, Nature 385, 417 (1997)] reported the measurement of the transmission phase of an electron traversing a quantum dot and found the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sejoong Kim , Hyun-Woo Lee

The linear conductance of the single electron transistor is determined in the high temperature limit. Electron tunneling is treated nonperturbatively by means of a path integral formulation and the conductance is obtained from Kubo's…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Georg Goeppert , Hermann Grabert

The electronic and optical conductivities for anisotropic tilted Dirac semimetals are calculated using the Kubo formula. As in graphene, it is shown that the minimal conductivity is sensitive to the order in which the temperature, frequency…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Saúl A. Herrera , Gerardo G. Naumis

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

On the basis of the linear response transport theory, the general expressions for the thermoelectric transport coefficients, such as thermoelectric power (S), Nernst coefficient (\nu), and thermal conductivity (\kappa), are derived by using…

Strongly Correlated Electrons · Physics 2009-11-07 Hiroshi Kontani

We present a theory of the DC electron transport in insulators near Anderson-Mott transitions under the influence of coexisting electron correlation and randomness. At sufficiently low temperatures, the DC electron transport in…

Strongly Correlated Electrons · Physics 2010-10-26 Hiroshi Shinaoka , Masatoshi Imada

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

We study transport in three dimensional Weyl semimetals with N isotropic Weyl nodes in the presence of Coulomb interactions or disorder at temperature T. In the interacting clean limit, we determine the conductivity by solving a quantum…

Strongly Correlated Electrons · Physics 2012-01-26 Pavan Hosur , S. A. Parameswaran , Ashvin Vishwanath

We theoretically investigate spin transport in half-metallic ferromagnets at finite temperatures. The side-jump and skew-scattering contributions to spin Hall conductivity are derived using the Kubo formula. The electron-magnon interaction…

Materials Science · Physics 2016-11-08 Y. Ohnuma , M. Matsuo , S. Maekawa

Electric, thermal and thermoelectric transport in correlated electron systems probe different aspects of the many-body dynamics, and thus provide complementary information. These are well studied in the low- and high-temperature limits,…

Strongly Correlated Electrons · Physics 2020-02-19 Woo-Ram Lee , Alexander M. Finkel'stein , Karen Michaeli , Georg Schwiete

We study a steady state non-equilibrium transport between two interacting helical edge states of a two dimensional topological insulator, described by helical Luttinger liquids, through a quantum dot. For non-interacting dot the current is…

Strongly Correlated Electrons · Physics 2013-09-02 Sung-Po Chao , Salman A. Silotri , Chung-Hou Chung

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

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

We consider resonant transmission through a finite-length quantum wire connected to leads via finite transparency junctions. The coherent electron transport is strongly modified by the Coulomb interaction. The low-temperature…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. B. Kopnin , Y. M. Galperin , V. M. Vinokur

Short-range electron-electron interactions are incorporated into the network model of the integer quantum Hall effect. In the presence of interactions, the electrons, propagating along one link, experience exchange scattering off the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. M. Apalkov , M. E. Raikh

In this article, we consider a theoretical model for a type I Weyl semimetal, under the presence of a diluted uniform concentration of torsional dislocations. By a mathematical analysis for partial wave scattering (phase-shift) for the…

Mesoscale and Nanoscale Physics · Physics 2022-09-16 Daniel A. Bonilla , Enrique Muñoz

Conduction of electrons in matter is ultimately described by quantum mechanics. Yet at low frequency or long time scales, low temperature quantum transport is perfectly described by this very simple idea: electrons are emitted by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Karl Thibault , Julien Gabelli , Christian Lupien , Bertrand Reulet

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

Materials Science · Physics 2007-10-04 P. Bokes , J. Jung , R. W. Godby