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We calculate conductance through a quantum dot weakly coupled to metallic contacts by means of Keldysh out of equilibrium formalism. We model the quantum dot with the SU(2) Anderson model and consider the limit of infinite Coulomb…

Strongly Correlated Electrons · Physics 2015-03-19 Leandro Tosi , Pablo Roura-Bas , Ana María Llois , Armando A. Aligia

We compare the conductance of an interacting ring of six lattice sites threaded by flux $\pi$ in a two terminal setup with the conductance of the corresponding Kohn-Sham particles. Based on symmetry considerations we can show that even…

Strongly Correlated Electrons · Physics 2017-09-13 Peter Schmitteckert

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

We explore a new formalism to study the nonlinear electronic density response based on Kohn-Sham density functional theory (KS-DFT) at partially and strongly quantum degenerate regimes. It is demonstrated that the KS-DFT calculations are…

Plasma Physics · Physics 2022-05-10 Zhandos Moldabekov , Jan Vorberger , Tobias Dornheim

We investigate how Kondo phenomenon occurs in the Anderson model dynamically coupled with local Jahn-Teller phonons. It is found that the total angular moment composed of electron pseudo-spin and phonon angular moments is screened by…

Strongly Correlated Electrons · Physics 2009-11-11 Takashi Hotta

This chapter presents the development of a density functional theory (DFT)-based method for accurate, reliable treatment of various resonances in atoms. Many of these are known to be notorious for their strong correlation, proximity to more…

Chemical Physics · Physics 2019-04-19 Amlan K. Roy

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

We present recent advances in Density Functional Theory (DFT) for applications to the field of quantum transport, with particular emphasis on transport through strongly correlated systems. We review the foundations of the popular…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 S. Kurth , G. Stefanucci

A theory of the Kondo effect in quantum dots at zero temperature in the presence of arbitrary intense AC potentials is presented.We generalize the Friedel-Langreth sum rule to take care of charge conservation and propose a consistent…

Strongly Correlated Electrons · Physics 2009-10-31 Rosa Lopez , Ramon Aguado , Gloria Platero , Carlos Tejedor

The derivative discontinuity of the exchange-correlation (xc) energy at integer particle number is a property of the exact, unknown xc functional of density functional theory (DFT) which is absent in many popular local and semilocal…

Strongly Correlated Electrons · Physics 2015-06-11 Gao Xianlong , A-Hai Chen , I. V. Tokatly , S. Kurth

We present a fully nonequilibrium calculation of the low temperature transport properties of a quantum dot in the Kondo regime when an AC potential is applied to the gate voltage. We solve a time dependent Anderson model with finite on-site…

Strongly Correlated Electrons · Physics 2009-10-31 Rosa Lopez , Ramon Aguado , Gloria Platero , Carlos Tejedor

Simulations in the warm dense matter regime using finite temperature Kohn-Sham density functional theory (FT-KS-DFT), while frequently used, are computationally expensive due to the partial occupation of a very large number of high-energy…

Materials Science · Physics 2018-04-04 Yael Cytter , Eran Rabani , Daniel Neuhauser , Roi Baer

We introduced a new electron density n({\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\epsilon} defined with the external potential \upsion (r) of interest. Then, a density functional theory (DFT)…

Chemical Physics · Physics 2018-02-20 Hideaki Takahashi

Time-dependent density functional theory (TDDFT) is rapidly emerging as a premier method for solving dynamical many-body problems in physics and chemistry. The mathematical foundations of TDDFT are established through the formal existence…

Quantum Physics · Physics 2014-08-22 J. D. Whitfield , M. -H. Yung , D. G. Tempel , S. Boixo , A. Aspuru-Guzik

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

Materials Science · Physics 2013-04-03 Eli Kraisler , Leeor Kronik

The construction of a better exchange-correlation potential in time-dependent density functional theory (TDDFT) can improve the accuracy of TDDFT calculations and provide more accurate predictions of the properties of many-electron systems.…

Quantum Physics · Physics 2023-08-23 Jun Yang , James D Whitfield

Perdew et al. [Phys. Rev. Lett 49, 1691 (1982)] discovered and proved two different properties of exact Kohn-Sham density functional theory (DFT): (i) The exact total energy versus particle number is a series of linear segments between…

Other Condensed Matter · Physics 2015-03-13 Tamar Stein , Jochen Autschbach , Niranjan Govind , Leeor Kronik , Roi Baer

Kohn-Sham density functional theory is the base of modern computational approaches to electronic structures. Their accuracy vitally relies on the exchange-correlation energy functional, which encapsulates electron-electron interaction…

Computational Physics · Physics 2019-11-04 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

The zero-temperature magnetic field-dependent conductance of electrons through a one-dimensional non-interacting tight-binding chain with an interacting {\it side} dot is reviewed and analized further. When the number of electrons in the…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Torio , K. Hallberg , C. Proetto

Electrons in zero external magnetic field can be studied with density functional theory (DFT) or with spin-DFT (SDFT). The latter is normally used for open shell systems because its approximations appear to model better the exchange and…

Chemical Physics · Physics 2022-04-06 Timothy Callow , Benjamin Pearce , Nikitas Gidopoulos