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Organic electronics is a rapidly developing technology. Typically, the molecules involved in organic electronics are made up of hundreds of atoms, prohibiting a theoretical description by wavefunction-based ab-initio methods.…

Materials Science · Physics 2011-05-18 Peter Koval , Dietrich Foerster , Daniel Sanchez-Portal

A microscopic theory for electronic spectrum of the CuO2 plane within an effective p-d Hubbard model is proposed. Dyson equation for the single-electron Green function in terms of the Hubbard operators is derived which is solved…

Strongly Correlated Electrons · Physics 2015-06-25 N. M. Plakida , V. S. Oudovenko

The electronic conductance of a molecule making contact to electrodes is determined by the coupling of discrete molecular states to the continuum electrode density of states. Interactions between bound states and continua can be modeled…

Other Condensed Matter · Physics 2007-05-23 Thomas M. Henderson , Giorgos Fagas , Eoin Hyde , James C. Greer

Fully numerical mesh solutions of 2D and 3D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of…

Atomic Physics · Physics 2007-05-23 Mikhail V. Ivanov

We examine multiple techniques for extracting information from angle-resolved photoemission spectroscopy (ARPES) data, and test them against simulated spectral functions for electron-phonon coupling. We find that, in the low-coupling…

Strongly Correlated Electrons · Physics 2015-05-18 C. N. Veenstra , G. L. Goodvin , M. Berciu , A. Damascelli

We present a method for computing angle-resolved electron-energy-loss and gain spectroscopies for phonon and magnon excitations in transmission electron microscopy. Fractional scattering intensities are derived from the…

Materials Science · Physics 2025-01-30 José Ángel Castellanos-Reyes , Paul Zeiger , Ján Rusz

The analytical treatment of the Greens function in the convergent close-coupling method [Bray et al. Comp. Phys. Comm. 203 147 (2016)] has been extended to charged targets. Furthermore, we show that this approach allows for calculation of…

Atomic Physics · Physics 2016-10-10 A. W. Bray , I. B. Abdurakhmanov , A. S. Kadyrov , D. V. Fursa , I. Bray

We formulate the calculation of the ground-state wavefunction and energy of a system of strongly correlated electrons in terms of scattering matrices. A hierarchy of approximations is introduced which results in an incremental expansion of…

Condensed Matter · Physics 2009-10-31 P. Fulde , H. Stoll , K. Kladko

The grand potential of a system of interacting electrons is considered as a stationary point of a self-energy functional. It is shown that a rigorous evaluation of the functional is possible for self-energies that are representable within a…

Strongly Correlated Electrons · Physics 2009-11-10 Michael Potthoff

We discuss how to construct a tight binding model Hamiltonan for the simplest possible solid, composed of hydrogen-like atoms. A single orbital per atom is not sufficient because the on-site electron-electron repulsion mixes in higher…

Strongly Correlated Electrons · Physics 2014-09-09 J. E. Hirsch

Recently it was shown that the calculation of quasiparticle energies using the $G_0W_0$ approximation can be performed without computing explicitly any virtual electronic states, by expanding the Green function and screened Coulomb…

Materials Science · Physics 2020-01-08 Han Yang , Marco Govoni , Giulia Galli

The exact-exchange (EXX) potential, which is obtained by solving the optimized-effective potential (OEP) equation, is compared to various approximate semilocal exchange potentials for a set of selected solids (C, Si, BN, MgO, Cu$_{2}$O, and…

Strongly Correlated Electrons · Physics 2016-08-07 Fabien Tran , Markus Betzinger , Peter Blaha , Stefan Blügel

Density functional calculations can fail for want of an accurate exchange-correlation approximation. The energy can instead be extracted from a sequence of density functional calculations of conditional probabilities (CP-DFT). Simple CP…

We investigate the high harmonic generation (HHG) from solids by simulating the dynamics of a single active electron in periodic potentials. The corresponding time-dependent Schr\"odinger equations (TDSE) are solved numerically by using…

Atomic Physics · Physics 2016-03-31 Zhong Guan , Xiao-Xin Zhou , Xue-Bin Bian

We describe the following new features which significantly enhance the power of the recently developed real-space imaginary-time GW scheme (Rieger et al., Comp. Phys. Commun. 117, 211 (1999)) for the calculation of self-energies and related…

Condensed Matter · Physics 2009-10-31 L. Steinbeck , A. Rubio , L. Reining , M. Torrent , I. D. White , R. W. Godby

Semilocal exchange-correlation functionals are the most accurate, realistic and widely used ones to describe the complex many-electron effects of two-dimensional quantum systems. Beyond local density approximation, the generalized gradient…

Materials Science · Physics 2017-04-12 Subrata Jana , Prasanjit samal

By splitting the Coulomb interaction into long-range and short-range components, we decompose the energy of a quantum electronic system into long-range and short-range contributions. We show that the long-range part of the energy can be…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

We calculate the correlation energy of a two-dimensional homogeneous electron gas using several available approximations for the exchange-correlation kernel $f_{\rm xc}(q,\omega)$ entering the linear dielectric response of the system. As in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Asgari , M. Polini , B. Davoudi , M. P. Tosi

I give a simple general prescription for computing the spectral functions of local operators in the Tomonaga-Luttinger model from the space-time correlation functions. The method is significantly simpler than directly transforming the…

Condensed Matter · Physics 2007-05-23 S. P. Strong

An effective action approach to Kohn-Sham density functional theory is used to illustrate how the exact Green's function can be calculated in terms of the Kohn-Sham Green's function. An example based on Skyrme energy functionals shows that…

Nuclear Theory · Physics 2007-05-23 Anirban Bhattacharyya , R. J. Furnstahl