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In the framework of density functional theory a formalism to describe electronic transport in the steady state is proposed which uses the density on the junction and the {\em steady current} as basic variables. We prove that, in a finite…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 G. Stefanucci , S. Kurth

The recently proposed density functional theory for steady-state transport (i-DFT) is extended to include temperature gradients between the leads. Within this framework, a general and exact expression is derived for the linear Seebeck…

Strongly Correlated Electrons · Physics 2019-12-04 Nahual Sobrino , Roberto D'Agosta , Stefan Kurth

We introduce a non-equilibrium density-functional theory of local temperature and associated local energy density that is suited for the study of thermoelectric phenomena. The theory rests on a local temperature field coupled to the…

Strongly Correlated Electrons · Physics 2014-05-16 F. G. Eich , M. Di Ventra , G. Vignale

We review the progress that has been recently made in the application of time-dependent density functional theory to thermoelectric phenomena. As the field is very young, we emphasize open problems and fundamental issues. We begin by…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 F. G. Eich , M. Di Ventra , G. Vignale

The most challenging scenario for Kohn-Sham density functional theory, that is when the electrons move relatively slowly trying to avoid each other as much as possible because of their repulsion (strong-interaction limit), is reformulated…

Strongly Correlated Electrons · Physics 2015-06-05 Giuseppe Buttazzo , Luigi De Pascale , Paola Gori-Giorgi

The multi-terminal generalization of the steady-state density functional theory for the description of electronic and thermal transport (iq-DFT) is presented. The linear response regime of the framework is developed leading to exact…

Mesoscale and Nanoscale Physics · Physics 2023-05-11 Nahual Sobrino , Roberto D'Agosta , Stefan Kurth

We present an alternative to the Kohn-Sham formulation of density functional theory for the ground-state properties of strongly interacting electronic systems. The idea is to start from the limit of zero kinetic energy and systematically…

Strongly Correlated Electrons · Physics 2015-05-13 Paola Gori-Giorgi , Michael Seidl , G. Vignale

A novel approach to the description of superconductors in thermal equilibrium is developed within a formally exact density-functional framework. The theory is formulated in terms of three ``densities'': the ordinary electron density, the…

The exchange-correlation energy in Kohn-Sham density functional theory can be expressed exactly in terms of the change in the expectation of the electron-electron repulsion operator when, in the many-electron hamiltonian, this same operator…

Strongly Correlated Electrons · Physics 2009-08-05 Paola Gori-Giorgi , Giovanni Vignale , Michael Seidl

Over the years, several schemes have been proposed to describe multireference systems with Kohn-Sham Density Functional Theory. Problematic is the combination of two aspects: the Kohn-Sham reference wavefunction is usually taken to be a…

Strongly Correlated Electrons · Physics 2019-08-01 Pablo Ramos , Michele Pavanello

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to construct an approximation for the exchange-correlation term of the Kohn-Sham approach. The resulting exchange-correlation potential is able to…

Strongly Correlated Electrons · Physics 2013-04-05 Francesc Malet , André Mirtschink , Jonas C. Cremon , Stephanie M. Reimann , Paola Gori-Giorgi

Transport through an Anderson junction (two macroscopic electrodes coupled to an Anderson impurity) is dominated by a Kondo peak in the spectral function at zero temperature. The exact single-particle Kohn-Sham potential of density…

Mesoscale and Nanoscale Physics · Physics 2011-08-04 Justin P. Bergfield , Zhenfei Liu , Kieron Burke , Charles A. Stafford

A generalization of the Kohn--Sham approach is derived where the correlation-energy functional depends on the one-particle density matrix of noninteracting states and on the external potential from the interacting target-state. The…

Chemical Physics · Physics 2007-05-23 James P. Finley

The exact ground-state exchange-correlation functional of Kohn-Sham density functional theory yields the exact transmission through an Anderson junction at zero bias and temperature. The exact impurity charge susceptibility is used to…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Zhenfei Liu , Justin P. Bergfield , Kieron Burke , Charles A. Stafford

The Hohenberg-Kohn theorem and the Kohn-Sham equations, which are at the basis of the Density Functional Theory, are reformulated in terms of a particular many-body density, which is translational invariant and therefore is relevant for…

Nuclear Theory · Physics 2021-09-29 A. Kievsky , G. Orlandini , M. Gattobigio

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to approximate the exchange-correlation energy of the restricted Kohn-Sham scheme. Our approximation corresponds to a highly non-local density…

Strongly Correlated Electrons · Physics 2012-12-12 Francesc Malet , Paola Gori-Giorgi

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

Density-functional theory for superfluid systems is developed in the framework of the functional renormalization group based on the effective action formalism. We introduce the effective action for the particle-number and nonlocal pairing…

Nuclear Theory · Physics 2021-05-11 Takeru Yokota , Haruki Kasuya , Kenichi Yoshida , Teiji Kunihiro

We present a rigorous formulation of generalized Kohn-Sham density-functional theory. This provides a straightforward Kohn-Sham description of many-body systems based not only on particle-density but also on any other observable. We…

Strongly Correlated Electrons · Physics 2008-02-03 M. Valiev , G. W. Fernando

Electronic transport properties for single-molecule junctions have been widely measured by several techniques, including mechanically controllable break junctions, electromigration break junctions or by means of scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Ferdinand Evers , Richard Korytár , Sumit Tewari , Jan M. van Ruitenbeek
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