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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 generalize the exact strong-interaction limit of the exchange-correlation energy of Kohn-Sham density functional theory to open systems with fluctuating particle numbers. When used in the self-consistent Kohn-Sham procedure on…

Strongly Correlated Electrons · Physics 2015-06-16 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

The formalism developed in the first paper of the series [arXiv:0901.1060] is applied to two thermodynamic systems: (i) of three global observables (the energy, the total electron number and the spin number), (ii) of one global observable…

Chemical Physics · Physics 2013-10-28 Robert Balawender , Andrzej Holas

We investigate the thermoelectric transport properties of an interacting parallel double quantum dot in the Coulomb-blockade regime. Building on an analytical solution based on an equation-of-motion technique, we extend the formalism for…

Mesoscale and Nanoscale Physics · Physics 2025-10-24 Nahual Sobrino

We calculate the temperature dependence of the transport properties of heavy-fermion systems such as resistivity, optical conductivity, thermoelectric power, the electronic part of the thermal conductivity, and the "figure of merit." The…

Strongly Correlated Electrons · Physics 2009-11-11 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

We study interaction corrections to the thermoelectric transport coefficient $\alpha$ and the thermopower $S$ in the two-dimensional disordered electron gas with long-range Coulomb interactions. To this end, we analyze the heat…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Zahidul Islam Jitu , Georg Schwiete

The Seebeck coefficient plays a fundamental role in identifying the efficiency of a thermoelectric device. Its theoretical evaluation for atomistic models is routinely based on Density Functional Theory calculations combined with the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Kaike Yang , Enrico Perfetto , Stefan Kurth , Gianluca Stefanucci , Roberto D'Agosta

Time-dependent (current) density functional theory for many-electron systems strongly coupled to quantized electromagnetic modes of a microcavity is proposed. It is shown that the electron-photon wave function is a unique functional of the…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 I. V. Tokatly

Lectures deal with the theory of electronic transport, in particular with the electrical conductivity, in systems dominated by strong electron-electron repulsion. The concept of charge stiffness is introduced to distinguish conductors and…

Strongly Correlated Electrons · Physics 2009-11-07 P. Prelovsek , X. Zotos

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos , P. Prelovsek

Density functional theory is the workhorse of modern electronic structure calculations, with wide-ranging applications in chemistry, physics, materials science, and machine learning. At its heart lies the exchange-correlation functional, a…

Chemical Physics · Physics 2026-02-20 Fabien Tran , Susi Lehtola , Stefano Pittalis , Miguel A. L. Marques

Using Kubo's linear response theory, we derive expressions for the frequency-dependent electrical conductivity (Kubo-Greenwood formula), thermopower, and thermal conductivity in a strongly correlated electron system. These are evaluated…

Plasma Physics · Physics 2012-05-04 Bastian Holst , Martin French , Ronald Redmer

The formalism for a linear-response many-body treatment of the electronic contributions to thermal transport is developed for multilayered nanostructures. By properly determining the local heat-current operator, it is possible to show that…

Strongly Correlated Electrons · Physics 2007-05-23 J. K. Freericks , V. Zlatic , A. M. Shvaika

While in principle exact, Kohn-Sham density functional theory -- the workhorse of computational chemistry -- must rely on approximations for the exchange-correlation functional. Despite staggering successes, present-day approximations still…

By introducing the self-energy density functionals for the dissipative interactions between the reduced system and its environment, we develop a time-dependent density-functional theory formalism based on an equation of motion for the…

Quantum Physics · Physics 2009-11-13 Xiao Zheng , Fan Wang , Chi Yung Yam , Yan Mo , GuanHua Chen

A plasma transport theory that spans weak to strong coupling is developed from a binary collision picture, but where the interaction potential is taken to be an effective potential that includes correlation effects and screening…

Plasma Physics · Physics 2016-05-11 Scott D. Baalrud , Jerome Daligault

Using Green's function equation of motion within Lacroix decoupling scheme, we examine the thermoelectric transport features of a strongly interacting quantum dot coupled between metallic leads. We demonstrate that a qualitative description…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Sachin Verma , B. S. Tewari , A. Dhyani , Ajay

Thermal density functional theory calculations often use the Mermin-Kohn-Sham scheme, but employ ground-state approximations to the exchange-correlation (XC) free energy. In the simplest solvable nontrivial model, an asymmetric Hubbard…

Strongly Correlated Electrons · Physics 2016-06-29 Justin C Smith , Aurora Pribram-Jones , Kieron Burke

Charge and heat transport through a single molecule tunnel-coupled to external normal electrodes have been studied. The molecule with sufficiently strong interaction between lectrons and vibrational internal degrees of freedom can be…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Karol Izydor Wysokinski

The correlation energy in density functional theory can be expressed exactly in terms of the change in the probability of finding two electrons at a given distance $r_{12}$ (intracule density) when the electron-electron interaction is…

Other Condensed Matter · Physics 2017-08-23 Paola Gori-Giorgi , Michael Seidl , Andreas Savin