English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/136345
Share/Impact:
Statistics
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:
Title

Cubic-scaling iterative solution of the Bethe-Salpeter equation for finite systems

AuthorsLjungberg, Mathias P.; Koval, P. ; Foerster, D.; Sánchez-Portal, Daniel
Issue Date2015
PublisherAmerican Physical Society
CitationPhysical Review B 92(7): 075422 (2015)
AbstractThe Bethe-Salpeter equation (BSE) is currently the state of the art in the description of neutral electronic excitations in both solids and large finite systems. It is capable of accurately treating charge-transfer excitations that present difficulties for simpler approaches. We present a local basis set formulation of the BSE for molecules where the optical spectrum is computed with the iterative Haydock recursion scheme, leading to a low computational complexity and memory footprint. Using a variant of the algorithm we can go beyond the Tamm-Dancoff approximation. We rederive the recursion relations for general matrix elements of a resolvent, show how they translate into continued fractions, and study the convergence of the method with the number of recursion coefficients and the role of different terminators. Due to the locality of the basis functions the computational cost of each iteration scales asymptotically as O(N3) with the number of atoms, while the number of iterations typically is much lower than the size of the underlying electron-hole basis. In practice we see that, even for systems with thousands of orbitals, the runtime will be dominated by the O(N2) operation of applying the Coulomb kernel in the atomic orbital representation.
DescriptionUnder the terms of the Creative Commons Attribution License 3.0 (CC-BY).
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevB.92.075422
URIhttp://hdl.handle.net/10261/136345
DOI10.1103/PhysRevB.92.075422
Identifiersdoi: 10.1103/PhysRevB.92.075422
issn: 2469-9950
e-issn: 2469-9969
Appears in Collections:(CFM) Artículos
Files in This Item:
File Description SizeFormat 
Cubic-scaling.pdf583,53 kBAdobe PDFThumbnail
View/Open
Show full item record
Review this work
 

Related articles:


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.