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Related papers: Time-dependent density-functional theory with self…

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The purpose of this paper is to investigate the long time behaviour for a self-interacting diffusion and a self-interacting velocity jump process. While the diffusion case has already been studied for some particular potential function, the…

Probability · Mathematics 2019-02-04 Carl-Erik Gauthier , Pierre Monmarché

We find that for simple metal clusters a single-electron description of the ground state employing self-interaction correction (SIC) in the framework of local-density approximation strongly contaminates the high energy photoionization cross…

Atomic and Molecular Clusters · Physics 2009-11-07 M. E. Madjet , Himadri S. Chakraborty , Jan-M. Rost

We present the MCSCF version of density functional theory. Two sets of equations, which correspond to the CI and orbital relaxation respectively, are derived. An important feature is that the correlation potential of DFT for CI wavefunction…

Chemical Physics · Physics 2007-05-23 Shusuke Yamanaka , Koichi Kusakabe , Kazuto Nakata , Toshikazu Takada , Kizashi Yamaguchi

We consider an analytically solvable model of two interacting electrons that allows for the calculation of the exact exchange-correlation kernel of time-dependent density functional theory. This kernel, as well as the corresponding density…

Strongly Correlated Electrons · Physics 2017-05-04 Luis Cort , Daniel Karlsson , Giovanna Lani , Robert van Leeuwen

We employ the density matrix renormalization group to construct the exact time-dependent exchange correlation potential for an impurity model with an applied transport voltage. Even for short-ranged interaction we find an infinitely…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Peter Schmitteckert , Michael Dzierzawa , Peter Schwab

Linear response time-dependent density functional theory is used to study low-lying electronic continuum states of targets that can bind an extra electron. Exact formulas to extract scattering amplitudes from the susceptibility are derived…

Other Condensed Matter · Physics 2009-11-11 Adam Wasserman , Neepa T. Maitra , Kieron Burke

We propose a simplification of the full "2 sets" Time dependent Self Interaction Correction (TD-SIC) method, applying the Optimized Effective Potential (OEP) method. The new resulting scheme is called time-dependent "Generalized SIC-OEP". A…

Quantum Physics · Physics 2009-11-05 J. Messud , P. M. Dinh , P. -G. Reinhard , E. Suraud

Today's high-power laser systems are capable of reaching photon intensities up to $10^{22}$ W/cm^2, generating plasmas when interacting with material. The high intensity and ultrashort laser pulse duration (fs) make direct observation of…

Self-consistent calculations using the Perdew-Zunger self-interaction correction (PZ-SIC) to local density and gradient dependent energy functionals are presented for the binding energy and equilibrium geometry of small molecules as well as…

Atomic and Molecular Clusters · Physics 2013-08-30 Simon Klüpfel , Peter Klüpfel , Hannes Jónsson

The accurate prediction of electronic response properties of extended molecular systems has been a challenge for conventional, explicit density functionals. We demonstrate that a self-interaction correction implemented rigorously within…

Materials Science · Physics 2009-11-13 T. Körzdörfer , M. Mundt , S. Kümmel

Time-dependent density-functional theory (TDDFT) is a computationally efficient first-principles approach for calculating optical spectra in insulators and semiconductors, including excitonic effects. We show how exciton wave functions can…

Materials Science · Physics 2020-12-29 Jared R. Williams , Nicolas Tancogne-Dejean , Carsten A. Ullrich

A new class of orbital-dependent exchange-correlation (xc) potentials for applications in noncollinear spin-density-functional theory is developed. Starting from the optimized effective potential (OEP) formalism for the exact exchange…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Carsten A. Ullrich

We study a class of time-inhomogeneous diffusion: the self-interacting one. We show a convergence result with a rate of convergence that does not depend on the diffusion coefficient. Finally, we establish a so-called Kramers' type law for…

Probability · Mathematics 2023-03-28 Ashot Aleksian , Pierre del Moral , Aline Kurtzmann , Julian Tugaut

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

Soft Condensed Matter · Physics 2016-01-13 Grzegorz Szamel

A recently proposed local self-interaction correction (LSIC) method [Zope \textit{et al.} J. Chem. Phys., 2019,{\bf 151}, 214108] when applied to the simplest local density approximation provides significant improvement over standard…

Chemical Physics · Physics 2021-02-24 Selim Romero , Yoh Yamamoto , Tunna Baruah , Rajendra R. Zope

We calculate the optical spectra of silicon and germanium in the adiabatic time-dependent density functional formalism, making use of kinetic energy density-dependent (meta-GGA) exchange-correlation functionals. We find excellent agreement…

Strongly Correlated Electrons · Physics 2011-11-16 V. U. Nazarov , G. Vignale

We extend the recently proposed Time-Dependent Multi-Determinant approach (ref.[1]) to the description of fermionic propagators. The method hinges on equations of motions obtained using variational principles of Dirac type. In particular we…

Nuclear Theory · Physics 2013-12-03 Giovanni Puddu

The first 52 fs of a time evolution of the electron density in OCS after an interaction with an intense sub 10 fs laser pulse are studied using the time-dependent density functional theory. The nuclear motion in this linear trimer is…

Materials Science · Physics 2008-08-18 G. Bilalbegovic

Using a super-operator formulation of linearized time-dependent density-functional theory, the dynamical polarizability of a system of interacting electrons is given a matrix continued-fraction representation whose coefficients can be…

Materials Science · Physics 2009-11-11 B. Walker , A. M. Saitta , R. Gebauer , S. Baroni

An analysis of the equations used for modeling thermal arsenic diffusion in silicon has been carried out. It was shown that for arsenic diffusion governed by the vacancy-impurity pairs and the pairs formed due to interaction of impurity…

Materials Science · Physics 2015-04-28 O. I. Velichko
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