Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems (Springer Theses) - Tapa dura
Sinopsis
An Introduction to Linear-Scaling Ab Initio Calculations.- Linear-Scaling DFT+U for Large Strongly-Correlated Systems.- Projector Self-Consistent DFT+U Using Nonorthogonal Generalised Wannier Functions.-Linear-Scaling Ab Initio Calculations.-Linear-Scaling DFT+U for Large Strongly Correlated Systems.- Optimised Projections for Strongly-Correlated Subspaces.- Projector Self-Consistent DFT +U Using Nonorthogonal Generalised Wannier Functions.- Subspace Representations in Ab Initio Methods for Strongly Correlated Systems.- Tensorial Consequences of Projection Optimisation.- Geometric Aspects of Representation Optimisation.- A Numerical Study of Geometric Corrections for Representation Optimisation.- Tensorial Aspects of Calculating Hubbard U Interaction Parameters.- Discussion and Conclusion.- Appendix: Geometric Observations.
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De la contraportada
Density functional theory (DFT) has become the standard workhorse for quantum mechanical simulations as it offers a good compromise between accuracy and computational cost.
However, there are many important systems for which DFT performs very poorly, most notably strongly-correlated materials, resulting in a significant recent growth in interest in 'beyond DFT' methods. The widely used DFT+U technique, in particular, involves the addition of explicit Coulomb repulsion terms to reproduce the physics of spatially-localised electronic subspaces.
The magnitude of these corrective terms, measured by the famous Hubbard U parameter, has received much attention but less so for the projections used to delineate these subspaces.
The dependence on the choice of these projections is studied in detail here and a method to overcome this ambiguity in DFT+U, by self-consistently determining the projections, is introduced.
The author shows how nonorthogonal representations for electronic states may be used to construct these projections and, furthermore, how DFT+U may be implemented with a linearly increasing cost with respect to system size.
The use of nonorthogonal functions in the context of electronic structure calculations is extensively discussed and clarified, with new interpretations and results, and, on this topic, this work may serve as a reference for future workers in the field.
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Optimised projections for the ab initio simulation of large and strongly correlated systems.
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Berlin, Springer., 2012
ISBN 10: 364223237X
ISBN 13: 9783642232374
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O'Regan:Optimised Projections for the A (eng)
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Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems (Springer Theses)
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Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems
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Springer Berlin Heidelberg Sep 2011, 2011
ISBN 10: 364223237X
ISBN 13: 9783642232374
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Density functional theory (DFT) has become the standard workhorse for quantum mechanical simulations as it offers a good compromise between accuracy and computational cost. However, there are many important systems for which DFT performs very poorly, most notably strongly-correlated materials, resulting in a significant recent growth in interest in 'beyond DFT' methods. The widely used DFT+U technique, in particular, involves the addition of explicit Coulomb repulsion terms to reproduce the physics of spatially-localised electronic subspaces. The magnitude of these corrective terms, measured by the famous Hubbard U parameter, has received much attention but less so for the projections used to delineate these subspaces. The dependence on the choice of these projections is studied in detail here and a method to overcome this ambiguity in DFT+U, by self-consistently determining the projections, is introduced. The author shows how nonorthogonal representations for electronic states may be used to construct these projections and, furthermore, how DFT+U may be implemented with a linearly increasing cost with respect to system size. The use of nonorthogonal functions in the context of electronic structure calculations is extensively discussed and clarified, with new interpretations and results, and, on this topic, this work may serve as a reference for future workers in the field. 232 pp. Englisch. Nº de ref. del artículo: 9783642232374
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Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems
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Springer Berlin Heidelberg, 2011
ISBN 10: 364223237X
ISBN 13: 9783642232374
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Reports an important advance in describing strongly correlated electronic systems Can serve as a standard reference for the electronic structure community Nominated as an outstanding contribution by the University of CambridgeReports . Nº de ref. del artículo: 5053149
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Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems (Springer Theses)
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Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems
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Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems
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Buch. Condición: Neu. Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems | David D. O'Regan | Buch | xvi | Englisch | 2011 | Springer-Verlag GmbH | EAN 9783642232374 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Nº de ref. del artículo: 106858310
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Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 2011, 2011
ISBN 10: 364223237X
ISBN 13: 9783642232374
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Buch. Condición: Neu. Neuware -Density functional theory (DFT) has become the standard workhorse for quantum mechanical simulations as it offers a good compromise between accuracy and computational cost.However, there are many important systems for which DFT performs very poorly, most notably strongly-correlated materials, resulting in a significant recent growth in interest in 'beyond DFT' methods. The widely used DFT+U technique, in particular, involves the addition of explicit Coulomb repulsion terms to reproduce the physics of spatially-localised electronic subspaces.The magnitude of these corrective terms, measured by the famous Hubbard U parameter, has received much attention but less so for the projections used to delineate these subspaces.The dependence on the choice of these projections is studied in detail here and a method to overcome this ambiguity in DFT+U, by self-consistently determining the projections, is introduced.The author shows how nonorthogonal representations for electronic states may be used to construct these projections and, furthermore, how DFT+U may be implemented with a linearly increasing cost with respect to system size.The use of nonorthogonal functions in the context of electronic structure calculations is extensively discussed and clarified, with new interpretations and results, and, on this topic, this work may serve as a reference for future workers in the field.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 232 pp. Englisch. Nº de ref. del artículo: 9783642232374
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Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems
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Springer Berlin Heidelberg, 2011
ISBN 10: 364223237X
ISBN 13: 9783642232374
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Density functional theory (DFT) has become the standard workhorse for quantum mechanical simulations as it offers a good compromise between accuracy and computational cost. However, there are many important systems for which DFT performs very poorly, most notably strongly-correlated materials, resulting in a significant recent growth in interest in 'beyond DFT' methods. The widely used DFT+U technique, in particular, involves the addition of explicit Coulomb repulsion terms to reproduce the physics of spatially-localised electronic subspaces. The magnitude of these corrective terms, measured by the famous Hubbard U parameter, has received much attention but less so for the projections used to delineate these subspaces. The dependence on the choice of these projections is studied in detail here and a method to overcome this ambiguity in DFT+U, by self-consistently determining the projections, is introduced. The author shows how nonorthogonal representations for electronic states may be used to construct these projections and, furthermore, how DFT+U may be implemented with a linearly increasing cost with respect to system size. The use of nonorthogonal functions in the context of electronic structure calculations is extensively discussed and clarified, with new interpretations and results, and, on this topic, this work may serve as a reference for future workers in the field. Nº de ref. del artículo: 9783642232374
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