2019
DOI: 10.1002/qua.26085
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Reduced eigensystem representation of the linear density‐density response function

Abstract: The linear density-density response function represents a formulation of the generalized density response of a molecular (or extended) system to arbitrary perturbing potentials. We have recently established an approach for reducing the dimension of the (in principle infinite) eigenspace representation (the moment expansion) and generalized it to arbitrary self-adjoint, positive-definite, and compact linear operators. Here, we present a modified representation-the reduced eigensystem representation-which allows… Show more

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Cited by 2 publications
(2 citation statements)
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“…All in all this work provides a transferable and efficient fragmentation method for GW and BSE based on sDFT, which does not rely on additional parametrization, and is capable of describing quasi-particle energies and excitation energies accurately for a specific region of interest within a complex chemical environment. Possible further improvements and efficiency enhancements of the presented methodology can be gained by approximating the full environmental polarizability by means of an efficient representation through a moment expansion as recently demonstrated by Sebastiani and co-workers. …”
Section: Discussionmentioning
confidence: 93%
“…All in all this work provides a transferable and efficient fragmentation method for GW and BSE based on sDFT, which does not rely on additional parametrization, and is capable of describing quasi-particle energies and excitation energies accurately for a specific region of interest within a complex chemical environment. Possible further improvements and efficiency enhancements of the presented methodology can be gained by approximating the full environmental polarizability by means of an efficient representation through a moment expansion as recently demonstrated by Sebastiani and co-workers. …”
Section: Discussionmentioning
confidence: 93%
“…The theoretical background of the moment expansion is described in a series of development papers. [ 45,46,51,52 ] To provide an initial orientation for a new reader, we have included a glossary at the end of the article. The glossary summarizes which basis functions we used, what is meant by moment expansion, what is the connection to the term “moment“ and which type of functions is referred to by χifalse(boldrfalse),Pifalse(boldrfalse) and ξifalse(boldrfalse).…”
Section: Efficient Representation Of the Lddrfmentioning
confidence: 99%