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Article: An approximate framework for quantum transport calculation with model order reduction

TitleAn approximate framework for quantum transport calculation with model order reduction
Authors
Chen, QLi, JYam, CYZhang, YWong, NChen, G
KeywordsModel order reduction
Sparse matrices
NEGF
Non-equilibrium transport
Low-rank approximation
Issue Date2015
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp
Citation
Journal of Computational Physics, 2015, v. 286, p. 49-61 How to Cite?
DOI: http://dx.doi.org/10.1016/j.jcp.2015.01.032
AbstractA new approximate computational framework is proposed for computing the non-equilibrium charge density in the context of the non-equilibrium Green's function (NEGF) method for quantum mechanical transport problems. The framework consists of a new formulation, called the X-formulation, for single-energy density calculation based on the solution of sparse linear systems, and a projection-based nonlinear model order reduction (MOR) approach to address the large number of energy points required for large applied biases. The advantages of the new methods are confirmed by numerical experiments.
Persistent Identifierhttp://hdl.handle.net/10722/211719
ISSN
0021-9991
2023 Impact Factor: 3.8
2023 SCImago Journal Rankings: 1.679
ISI Accession Number ID
WOS:000349600600004

 

DC FieldValueLanguage
dc.contributor.authorChen, Q-
dc.contributor.authorLi, J-
dc.contributor.authorYam, CY-
dc.contributor.authorZhang, Y-
dc.contributor.authorWong, N-
dc.contributor.authorChen, G-
dc.date.accessioned2015-07-21T02:08:58Z-
dc.date.available2015-07-21T02:08:58Z-
dc.date.issued2015-
dc.identifier.citationJournal of Computational Physics, 2015, v. 286, p. 49-61-
dc.identifier.issn0021-9991-
dc.identifier.urihttp://hdl.handle.net/10722/211719-
dc.description.abstractA new approximate computational framework is proposed for computing the non-equilibrium charge density in the context of the non-equilibrium Green's function (NEGF) method for quantum mechanical transport problems. The framework consists of a new formulation, called the X-formulation, for single-energy density calculation based on the solution of sparse linear systems, and a projection-based nonlinear model order reduction (MOR) approach to address the large number of energy points required for large applied biases. The advantages of the new methods are confirmed by numerical experiments.-
dc.languageeng-
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp-
dc.relation.ispartofJournal of Computational Physics-
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, vol 286, 2015. DOI: 10.1016/j.jcp.2015.01.032-
dc.rights© 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/-
dc.subjectModel order reduction-
dc.subjectSparse matrices-
dc.subjectNEGF-
dc.subjectNon-equilibrium transport-
dc.subjectLow-rank approximation-
dc.titleAn approximate framework for quantum transport calculation with model order reduction-
dc.typeArticle-
dc.identifier.emailChen, Q: q1chen@hku.hk-
dc.identifier.emailYam, CY: yamcy1@hku.hk-
dc.identifier.emailWong, N: nwong@eee.hku.hk-
dc.identifier.emailChen, G: ghchen@hku.hk-
dc.identifier.authorityChen, Q=rp01688-
dc.identifier.authorityYam, CY=rp01399-
dc.identifier.authorityWong, N=rp00190-
dc.identifier.authorityChen, G=rp00671-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.jcp.2015.01.032-
dc.identifier.scopuseid_2-s2.0-84921854937-
dc.identifier.hkuros245829-
dc.identifier.volume286-
dc.identifier.spage49-
dc.identifier.epage61-
dc.identifier.isiWOS:000349600600004-
dc.publisher.placeUnited States-
dc.identifier.issnl0021-9991-

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