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The role of the discontinuity of the exchange-correlation potential of density functional theory is studied in the context of electron transport and shown to be intimately related to Coulomb blockade. By following the time evolution of an…

Mesoscale and Nanoscale Physics · Physics 2010-06-08 S. Kurth , G. Stefanucci , E. Khosravi , C. Verdozzi , E. K. U. Gross

Approximations to the many-fermion free energy density functional that include the Thomas-Fermi (TF) form for the non-interacting part lead to singular densities for singular external potentials (e.g. attractive Coulomb). This limitation of…

Statistical Mechanics · Physics 2016-09-21 James W. Dufty , S. B. Trickey

While the vast majority of calculations reported on molecular conductance have been based on the static non-equilibrium Green's function formalism combined with density functional theory, in recent years a few time-depedent approaches to…

In this work a practical scheme is developed for the first-principles study of time-dependent quantum transport. The basic idea is to combine the transport master-equation with the well-known time-dependent density functional theory. The…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 Xin-Qi Li , YiJing Yan

We study the thermoelectric transport properties in the three-dimensional Anderson model of localization near the metal-insulator transition [MIT]. In particular, we investigate the dependence of the thermoelectric power S, the thermal…

Disordered Systems and Neural Networks · Physics 2009-10-31 C. Villagonzalo , R. A. Roemer , M. Schreiber

We put forward a gauge-invariant theoretical framework for studying time-resolved thermoelectric transport in an arbitrary multiterminal electronic quantum system described by a non-interacting tight-binding model. The system is driven out…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Adel Kara Slimane , Phillipp Reck , Geneviève Fleury

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

We study the thermal transport properties in three-dimensional disordered systems close to the metal-insulator transition within linear response. Using a suitable form for the energy-dependent conductivity $\sigma$, we show that the value…

Disordered Systems and Neural Networks · Physics 2016-08-15 C. Villagonzalo , R. A. Römer , M. Schreiber , A. MacKinnon

We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -- tunnel-coupled to two reservoirs -- exact expressions for the stationary matter and…

Statistical Mechanics · Physics 2015-07-20 Gabriel E. Topp , Tobias Brandes , Gernot Schaller

We model a small quantum dot with a magnetic impurity by the Anderson Hamiltonian with a supplementary exchange interaction term. The transport calculations are performed by means of the Green functions within the equation of motion scheme,…

Materials Science · Physics 2015-06-25 Mugurel Tolea , Bogdan R. Bulka

A complete solution to the inverse problem of Kohn-Sham (KS) density functional theory is proposed. Our method consists of two steps. First, the effective KS potential is determined from the ground state density of a given system. Then, the…

Nuclear Theory · Physics 2022-03-14 A. Liardi , F. Marino , G. Colò , X. Roca-Maza , E. Vigezzi

We review a recently developed formalism for computing thermoelectric coefficients in correlated matter. The usual difficulties of such a calculation are circumvented by a careful generalization the transport formalism to finite…

Strongly Correlated Electrons · Physics 2026-01-14 B Sriram Shastry

In time-dependent density-functional theory, exchange and correlation (xc) beyond the adiabatic local density approximation can be described in terms of viscoelastic stresses in the electron liquid. In the time domain, this leads to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. O. Wijewardane , C. A. Ullrich

The Ziman formulation of electrical conductivity is tested in warm and hot dense matter using the pseudo-atom molecular dynamics method. Several implementation options that have been widely used in the literature are systematically tested…

Plasma Physics · Physics 2015-09-15 D. J. Burrill , D. Feinblum , M. R. J. Charest , C. E. Starrett

In order to assess the accuracy of commonly used approximate exchange-correlation density functionals, we present a comparison of accurate exchange and correlation potentials, exchange energy densities and energy components with the…

Condensed Matter · Physics 2007-05-23 Claudia Filippi , Xavier Gonze , C. J. Umrigar

We calculate the rate of energy flow between two macroscopic bodies, each in thermodynamic equilibrium at a different temperature, and joined by a weak mechanical link. The macroscopic solids are assumed to be electrically insulating, so…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kelly R. Patton , Michael R. Geller

We use spin-density functional theory to obtain novel expressions for the charge and spin local-field factors of an electron gas in terms of its electron-pair structure factors. These expressions (i) satisfy the compressibility and spin…

Strongly Correlated Electrons · Physics 2009-11-07 B. Davoudi , M. Polini , M. P. Tosi

We propose a way to improve energy density functionals (EDFs) in the density functional theory based on the combination of the inverse Kohn--Sham method and the density functional perturbation theory. Difference between the known EDF and…

Chemical Physics · Physics 2019-11-22 Tomoya Naito , Daisuke Ohashi , Haozhao Liang

We apply the generalized Boltzmann theory to describe thermoelectric transport properties of monolayer phosphorene in the presence of short- and long-range charged impurity interactions. First, we propose a low-energy Hamiltonian to explore…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Moslem Zare , Babak Zare Rameshti , Farnood G. Ghamsari , Reza Asgari

We validate the application of our recent orbital-free density functional theory (DFT) approach, [Phys. Rev. Lett. 113, 155006 (2014)], for the calculation of ionic and electronic transport properties of dense plasmas. To this end, we…

Plasma Physics · Physics 2015-12-16 Travis Sjostrom , Jérôme Daligault
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