<div class="csl-bib-body">
<div class="csl-entry">Chalupa, P. (2017). <i>Irreducible vertex divergences in strongly correlated metallic systems : the case of the Anderson impurity model</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2017.41148</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2017.41148
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/9813
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dc.description
Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
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dc.description.abstract
The recently discovered occurrence of multiple divergences in the irreducible vertex functions of strongly correlated electron models, poses serious problems to the state-of-the-art many-body theory. Dynamical mean-field theory (DMFT) calculations for the Hubbard model have shown several lines of divergences of the irreducible vertex function, surrounding the Mott-Hubbard metal-insulator transition, a clear hint of a highly non-perturbative origin. At high temperatures/large interaction (U), where the Hubbard model approaches the atomic limit, the divergences could be ascribed to a unique underlying energy scale . This simple picture is however not applicable in the most interesting parameter regime of low temperatures and intermediate U, where the system behaves like a correlated Fermi-liquid metal. For this reason a simpler model was analysed, where a similar physics could be realized: the Anderson impurity model. This provides a more feasible way to treat the Fermi-liquid quasiparticle physics in the parameter regime of interest. In a preceding Projektarbeit I performed CT-HYB calculations at the two particle level, using w2dynamics. The results show the first divergence line for the Anderson impurity model, with an unexpected low temperature behaviour. Motivated by these preliminary findings, in this thesis an investigation of the whole phase diagram of the Anderson impurity model has been per- formed. In particular, using w2dynamics, additional lines of divergences were found: They could be classified in terms of the properties of their associated singular eigenvectors and compared with the corresponding ones found in other many-electron systems. This information provides novel insights on the physical mechanism underlying the breakdown of many-body perturbation theory, clarifying some aspects (such as the relation of the divergences with the Mott-Hubbard transition), which were not fully understood yet. In the final part of the master thesis the implication of the low-temperature behaviour of the divergence lines in the Anderson impurity model onto other models (such as the Hubbard) is discussed as well.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
elektronische Korrelation
de
dc.subject
Versagen der Vielteilchentheorie
de
dc.subject
Zweiteilchenkorrelationsfunktionen
de
dc.subject
Fermiflüssigkeitstheorie
de
dc.subject
Mott-Hubbard Übergang
de
dc.subject
Anderson Impurity Modell
de
dc.subject
electronic correlations
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dc.subject
breakdown of many-body theory
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dc.subject
two particle correlation functions
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dc.subject
Fermi liquid theory
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dc.subject
Mott Hubbard transitions
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dc.subject
Anderson impurity model
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dc.title
Irreducible vertex divergences in strongly correlated metallic systems : the case of the Anderson impurity model
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dc.title.alternative
Irreduzible Vertexdivergenzen in stark korrelierten metallischen Systemen: Der Fall des Anderson Impurity Modells
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2017.41148
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Patrick Chalupa-Gantner
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dc.publisher.place
Wien
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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dc.contributor.assistant
Gunacker, Patrik
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tuw.publication.orgunit
E138 - Institut für Festkörperphysik
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dc.type.qualificationlevel
Diploma
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dc.identifier.libraryid
AC13753159
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dc.description.numberOfPages
79
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dc.identifier.urn
urn:nbn:at:at-ubtuw:1-100961
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dc.thesistype
Diplomarbeit
de
dc.thesistype
Diploma Thesis
en
tuw.author.orcid
0000-0002-1059-0767
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dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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tuw.assistant.staffStatus
staff
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tuw.advisor.orcid
0000-0001-5669-3377
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item.grantfulltext
open
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item.mimetype
application/pdf
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item.openairetype
master thesis
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item.openairecristype
http://purl.org/coar/resource_type/c_bdcc
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item.languageiso639-1
en
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item.fulltext
with Fulltext
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item.openaccessfulltext
Open Access
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item.cerifentitytype
Publications
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crisitem.author.dept
E138-02 - Forschungsbereich Correlations: Theory and Experiments