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A universal set of third--nearest neighbour tight--binding (TB) parameters is presented for calculation of the quasiparticle (QP) dispersion of $N$ stacked $sp^2$ graphene layers ($N=1... \infty$) with $AB$ stacking sequence. The QP bands…

Materials Science · Physics 2009-11-13 A. Grüneis , C. Attaccalite , L. Wirtz , H. Shiozawa R. Saito , T. Pichler , A. Rubio

We show that two-dimensional band insulators, with vanishing bulk polarization, obey bulk-and-edge to corner charge correspondence stating that the knowledge of the bulk and the two corresponding ribbon band structures uniquely determines…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Luka Trifunovic

We develop an $e_g$ orbital, $t$-$J$-like model of a single charge doped into a two-dimensional plane with ferromagnetic spin order and alternating orbital order, and present its solution by Green's functions in the variational…

Strongly Correlated Electrons · Physics 2016-12-26 Krzysztof Bieniasz , Mona Berciu , Maria Daghofer , Andrzej M. Oleś

A model of dense plasmas relying on the superconfiguration approximation is presented. In each superconfiguration the nucleus is totally screened by the electrons in a Wigner-Seitz sphere (ion-sphere model). Superconfigurations of the same…

Atomic Physics · Physics 2007-06-26 Jean-Christophe Pain

We present a self-consistent, real-space calculation of the Wannier functions of Si and GaAs within density functional theory. We minimize the total energy functional with respect to orbitals which behave as Wannier functions under crystal…

Materials Science · Physics 2009-10-28 Pablo Fernández , Andrea Dal Corso , Francesco Mauri , Alfonso Baldereschi

A method to solve the Schr\"{o}dinger equation based on the use of constant particle-particle interaction potential surfaces is proposed. The many-body wave function is presented in configuration interaction form with coefficients -…

Quantum Physics · Physics 2018-06-19 V. M. Tapilin

We develop a stochastic formulation of the optimally-tuned range-separated hybrid density functional theory which enables significant reduction of the computational effort and scaling of the non-local exchange operator at the price of…

Chemical Physics · Physics 2016-09-28 Daniel Neuhauser , Eran Rabani , Yael Cytter , Roi Baer

Microscopy research often requires recovering particle-size distributions in three dimensions from only a few (10 - 200) profile measurements in the section. This problem is especially relevant for petrographic and mineralogical studies,…

Methodology · Statistics 2022-02-16 Ekaterina Poliakova

Moir\'{e} systems such as magic-angle twisted bilayer graphene have attracted significant attention due to their ability to host correlated phenomena including superconductivity and strongly correlated insulating states. By defining the…

Strongly Correlated Electrons · Physics 2025-09-08 Liangtao Peng , Giovanni Vignale , Shaffique Adam

Vacuum polarization corrections to the energy levels of bound electrons are calculated using a perturbative path integral formalism. We apply quantum electrodynamics in a framework which treats the strong binding nuclear field to all…

Atomic Physics · Physics 2023-09-26 Sreya Banerjee , Zoltán Harman

We present a simplified computational scheme in order to calculate the effects of electron correlations on the energy bands of diamond and silicon. By adopting a quasiparticle picture we compute first the relaxation and polarization effects…

Materials Science · Physics 2009-01-07 Uwe Birkenheuer , Peter Fulde , Hermann Stoll

Electronic excitations and optical spectra of $CdF_{2}$ are calculated up to ultraviolet employing state-of-the-art techniques based on density functional theory and many-body perturbation theory. The GW scheme proposed by Hedin has been…

Materials Science · Physics 2015-06-15 Giancarlo Cappellini , Jürgen Furthmüller , Emiliano Cadelano , Friedhelm Bechstedt

Thermal broadening of the quasi-particle peak in the spectral function is an important physical feature in many statistical systems, but it is difficult to calculate. To tackle this problem, we propose the $H$-expanded basis within the…

Strongly Correlated Electrons · Physics 2025-02-21 Hu-Wei Jia , Wen-Jun Liu , Yue-Hong Wu , Kou-Han Ma , Lei Wang , Ning-Hua Tong

The BCS and/or HFB theories are extended by treating the effect of four quasi-particle states perturbatively. The approach is tested on the pairing hamiltonian, showing that it combines the advantage of standard perturbation theory valid at…

Nuclear Theory · Physics 2015-06-05 Denis Lacroix , Danilo Gambacurta

The paper discusses the applicability of WKB and Born (small perturbations) approximations in the problem of the backscattering of quantum particles and classical waves by one-dimensional smooth potentials with amplitudes small compared to…

Quantum Physics · Physics 2007-05-23 K. Yu. Bliokh , V. D. Freilikher , N. M. Makarov

We obtain the generalized quasi-Keplerian parametrization for compact binaries on quasihyperbolic orbits at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories, extending the analogous results for quasielliptic…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Davide Usseglio , David Trestini , Abhishek Chowdhuri

The finite basis set method is commonly used to calculate atomic spectra, including QED contributions such as bound-electron self-energy. Still, it remains problematic and underexplored for vacuum-polarization calculations. We fill this gap…

Atomic Physics · Physics 2024-09-19 V. K. Ivanov , S. S. Baturin , D. A. Glazov , A. V. Volotka

Higher-order WKB methods are used to investigate the border between the solvable and insolvable portions of the spectrum of quasi-exactly solvable quantum-mechanical potentials. The analysis reveals scaling and factorization properties that…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Bender , G. Dunne , M. Moshe

A non-iterative method is presented to calculate the closest Wannier functions (CWFs) to a given set of localized guiding functions, such as atomic orbitals, hybrid atomic orbitals, and molecular orbitals, based on minimization of a…

Materials Science · Physics 2023-07-03 Taisuke Ozaki

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…