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We present a detailed study of the use of localized spherical-wave basis sets, first introduced in the context of linear-scaling, in first-principles density-functional calculations. Several parameters that control the completeness of this…

Chemical Physics · Physics 2018-07-25 Chee Kwan Gan , Peter David Haynes , M. C. Payne

We present an approach for generating local numerical basis sets of improving accuracy for first-principles nanoplasmonics simulations within time-dependent density functional theory. The method is demonstrated for copper, silver, and gold…

Materials Science · Physics 2015-09-04 Tuomas P. Rossi , Susi Lehtola , Arto Sakko , Martti J. Puska , Risto M. Nieminen

A precise understanding of mechanisms governing the dynamics of electrons in atoms and molecules subjected to intense laser fields has a key importance for the description of attosecond processes such as the high-harmonic generation and…

We introduce highly local basis sets for electronic structure which are very efficient for correlation calculations near the complete basis set limit. Our approach is based on gausslets, recently introduced wavelet-like smooth orthogonal…

Chemical Physics · Physics 2019-02-20 Steven R. White , E. Miles Stoudenmire

We report a method for the evaluation of the one-loop self-energy, to all orders in the external binding field, using a Gaussian basis set expansion. This choice of basis is motivated by its widespread use in molecular calculations. For a…

Quantum Physics · Physics 2025-04-14 Dávid Ferenc , Maen Salman , Trond Saue

In the framework of a recently reported linear-scaling method for density-functional-pseudopotential calculations, we investigate the use of localized basis functions for such work. We propose a basis set in which each local orbital is…

mtrl-th · Physics 2009-10-30 E. Hernandez , M. J. Gillan , C. M. Goringe

First-principles density functional theory (DFT) codes which employ a localized basis offer advantages over those which use plane-wave bases, such as better scaling with system size and better suitability to low-dimensional systems. The…

Materials Science · Physics 2024-11-25 Daniel Bennett , Michele Pizzochero , Javier Junquera , Efthimios Kaxiras

In the FIRST PART we present simple introductions to gaussian and Bessel waves, and to the Localized Waves (LW), pulses or beams, showing the important properties of the latter, and their applications whenever a role is played by a…

Optics · Physics 2009-02-17 Erasmo Recami , Michel Zamboni-Rached

Based on our recently proposed plane wave framework, we theoretically study the localized-extended transition in the one dimensional incommensurate systems with cosine type of potentials, which are in close connection to many recent…

Computational Physics · Physics 2020-08-19 Huajie Chen , Aihui Zhou , Yuzhi Zhou

We introduce a diagrammatic quantum field formalism for the evaluation of normalized expectation values of operators, and suitable for systems with localized electrons. It is used to develop a convergent series expansion for the energy in…

Other Condensed Matter · Physics 2009-11-13 S. A. Bonev , N. W. Ashcroft

We introduce nested gausslet (NG) bases, an improvement on previous gausslet bases which can treat systems containing atoms with much larger atomic number. We also introduce pure Gaussian distorted gausslet bases, which allow the…

Chemical Physics · Physics 2023-09-20 Steven R. White , Michael J. Lindsey

We prove that the electron density function of a real physical system can be uniquely determined by its values on any finite subsystem. This establishes the existence of a rigorous density-functional theory for any open electronic system.…

Quantum Physics · Physics 2007-05-23 Xiao Zheng , Fan Wang , GuanHua Chen

We present a first-principles molecular dynamics study of an excess electron in condensed phase models of solvated DNA bases. Calculations on increasingly large microsolvated clusters taken from liquid phase simulations show that adiabatic…

Soft Condensed Matter · Physics 2026-03-03 Maeve Smyth , Jorge Kohanoff

The method used earlier for analysis of correlated nanoscopic systems is extended to infinite (periodic) s-band like systems described by the Hubbard model and its extensions. The optimized single-particle wave functions contained in the…

Strongly Correlated Electrons · Physics 2009-02-18 Jan Kurzyk , Włodzimierz Wójcik , Jozef Spałek

Optical embedded eigenstates are localized modes of an open structure that are compatible to radiation yet they have infinite lifetime and diverging quality factors. Their realization in nanostructures finite in all dimensions is inherently…

Optics · Physics 2018-06-13 Alex Krasnok , Andrea Alu

The problem of electron--electron lifetime in a quantum dot is studied beyond perturbation theory by mapping it onto the problem of localization in the Fock space. We identify two regimes, localized and delocalized, corresponding to…

Condensed Matter · Physics 2008-04-12 B. L. Altshuler , Y. Gefen , A. Kamenev , L. S. Levitov

The discrete and charge-separated nature of matter - electrons and nuclei - results in local electrostatic fields that are ubiquitous in nanoscale structures and are determined by their shape, material, and environment. Such fields are…

We study the interaction of focused radially-polarized light with metal nanospheres. By expanding the electromagnetic field in terms of multipoles, we gain insight on the excitation of localized surface plasmon-polariton resonances in the…

Optics · Physics 2009-11-13 Nassiredin M. Mojarad , Mario Agio

Gausslets are one of the few basis constructions for electronic structure that combine locality, orthonormality, variable resolution, and an accurate diagonal approximation for the electron-electron interaction, but the original…

Chemical Physics · Physics 2026-05-07 Steven R. White

We provide a theoretical framework to describe the dynamics of a free-electron beam interacting with quantized bound systems in arbitrary electromagnetic environments. This expands the quantum optics toolbox to incorporate free-electron…

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