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We show how to construct an effective Hamiltonian whose dimension scales linearly with system size, and whose eigenvalues systematically approximate the excitation energies of GW theory. This is achieved by rigorously expanding the…

Chemical Physics · Physics 2023-07-18 Charles J. C. Scott , Oliver J. Backhouse , George H. Booth

In effective single-electron theories, self-interaction manifests itself through the unphysical dependence of the energy of an electronic state as a function of its occupation, which results in important deviations from the ideal Koopmans…

Materials Science · Physics 2009-01-20 I. Dabo , M. Cococcioni , N. Marzari

The $GW$ approximation has become an important tool for predicting charged excitations of isolated molecules and condensed systems. Its popularity can be attributed to many factors, including a favorable scaling and relatively good…

Chemical Physics · Physics 2023-12-18 Daniel Mejia-Rodriguez

The quasiparticle self-consistent QS$GW$ approach incorporates the corrections of the quasiparticle energies from their Kohn-Sham density functional theory (DFT) eigenvalues by means of an energy independent and Hermitian self-energy matrix…

Materials Science · Physics 2022-06-08 Ozan Dernek , Dmitry Skachkov , Walter R. L. Lambrecht , Mark van Schilfgaarde

We present a first-principles computational scheme for investigating the ballistic transport properties of one-dimensional nanostructures with non-collinear magnetic order. The electronic structure is obtained within density functional…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Björn Hardrat , Frank Freimuth , Stefan Heinze , Yuriy Mokrousov

We study non-equilibrium transport through a single-orbital Anderson model in a magnetic field with spin-dependent hopping amplitudes. In the cotunneling regime it is described by an effective spin-1/2 dot with a…

Strongly Correlated Electrons · Physics 2013-01-14 Mikhail Pletyukhov , Dirk Schuricht

An exact theoretical framework based on Time Dependent Density Functional Theory (TDDFT) is proposed in order to deal with the time-dependent quantum transport in fully interacting systems. We use a \textit{partition-free} approach by Cini…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gianluca Stefanucci , Carl-Olof Almbladh

We study transport through an interacting model system consisting of a central correlated site coupled to finite bandwidth tight-binding leads, which are considered as effectively noninteracting. Its nonequilibrium properties are determined…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 A. -M. Uimonen , E. Khosravi , G. Stefanucci , S. Kurth , R. van Leeuwen , E. K. U. Gross

The DFT/vdW-QHO-WF method, recently developed to include the van der Waals (vdW) interactions in approximated Density Functional Theory (DFT) by combining the Quantum Harmonic Oscillator model with the Maximally Localized Wannier Function…

Materials Science · Physics 2015-06-18 Pier Luigi Silvestrelli

The use of Green's function in quantum many-body theory often leads to nonlinear eigenvalue problems, as Green's function needs to be defined in energy domain. The $GW$ approximation method is one of the typical examples. In this article,…

Computational Physics · Physics 2024-09-11 Dongming Li , Eric Polizzi

We study particle transport through a chain of coupled sites connected to free-fermion reservoirs at both ends, subjected to a local particle loss. The transport is characterized by calculating the conductance and particle density in the…

Quantum Gases · Physics 2022-07-29 A. -M. Visuri , T. Giamarchi , C. Kollath

We investigate the spectral and transport properties of parallel double-quantum-dot (DQD) system with interdot tunneling coupling in both the equilibrium and nonequilibrium cases. The special geometry of DQD system is considered, in which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rong Lu , Zhi-Rong Liu , Guang-Ming Zhang

Electron-phonon coupling is a key interaction that governs diverse physical processes such as carrier transport, superconductivity, and optical absorption. Calculating such interactions from first-principles with methods beyond…

Materials Science · Physics 2025-08-21 Aleksandr Poliukhin , Nicola Colonna , Francesco Libbi , Samuel Poncé , Nicola Marzari

We report a successful combination of magnetic force linear response theory with quasiparticle self-consistent GW method. The self-consistently determined wavefunctions and eigenvalues can just be used for the conventional magnetic force…

Materials Science · Physics 2019-09-04 Hongkee Yoon , Seung Woo Jang , Jae-Hoon Sim , Takao Kotani , Myung Joon Han

Here we study the polaronic transport through molecules weakly connected to metallic electrodes in the nonlinear response regime. Molecule itself is treated as a quantum dot with discrete energy levels, its connection to the electrodes is…

Mesoscale and Nanoscale Physics · Physics 2007-07-22 Kamil Walczak

This review deals with the nonequilibrium Green's function (NEGF) method applied to the problems of energy transport due to atomic vibrations (phonons), primarily for small junction systems. We present a pedagogical introduction to the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Jian-Sheng Wang , Bijay Kumar Agarwalla , Huanan Li , Juzar Thingna

Electron transport through a diatomic molecular tunnel junction shows wave like interference phenomenon. By using Keldysh non-equilibrium Green's function (NEGF) theory, we have explicitly presented current and differential conductance…

Mesoscale and Nanoscale Physics · Physics 2012-12-18 Muhammad Imran

We derive a formula for the current through an interacting quantum dot coupled to two supercouducting leads, using the non-equilibrium Green's function formalism. It is shown that the formula takes an especially simple form, when the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kicheon Kang

We expand on a recently introduced alternate framework for $GW$ simulation of charged excitations [Scott et. al., J. Chem. Phys., 158, 124102 (2023)], based around the conservation of directly computed spectral moments of the GW…

Chemical Physics · Physics 2025-08-08 Oliver J. Backhouse , Marcus K. Allen , Charles C. J. Scott , George H. Booth

We present a new, all-electron implementation of the GW approximation and apply it to wurtzite ZnO. Eigenfunctions computed in the local-density approximation (LDA) by the full-potential linearized augmented-plane-wave (LAPW) or the…

Materials Science · Physics 2009-11-07 Manabu Usuda , Noriaki Hamada , Takao Kotani , Mark van Schilfgaarde
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