<div class="csl-bib-body">
<div class="csl-entry">Al-Eryani, A., Andergassen, S., & Scherer, M. (2024, September 24). <i>fRG Analysis and Fluctuation Diagnostics of the Hubbard-Holstein Model</i> [Poster Presentation]. 12th International Conference on the Exact Renormalization Group, Switzerland.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/203938
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dc.description
Recently, due to tremendous progress in materials synthesis the family of strongly-correlated systems exhibiting superconductivity has been extended substantially, e.g., through the experimental study of magic-angle bilayer graphene and other graphene-based heterostructures, and more. Yet, the origin of the superconducting pairing mechanism(s) in these materials is far from being clear as both, Coulomb interactions and electron-phonon couplings can become sizable. This brings a long-standing question back to our attention, namely, what is the interplay between electron-electron and electron-phonon interactions in strongly-correlated electron systems on a lattice. The functional renormalization group is a prime tool to approach this problem as it allows us to treat all interaction channels on equal footing. To explore the interplay of Coulomb and electron-phonon interactions, however, retaining frequency dependencies of the vertices and the self-energy is required, which requires the development of efficient algorithms. Here, we report on the development of a physically transparent, accurate, and efficient fRG scheme based on single boson exchanges. As a paradigmatic study, we explore the Hubbard-Holstein model on the square lattice. Concretely, we can quantitatively compare to recent numerical studies at half filling, but also extend our analysis to regions away from half filling, which are inaccessible to quantum Monte-Carlo simulations. In the spirit of “fluctuation diagnostics”, we explore directly the influence of phonons on the electronic susceptibilities at half-filling and at finite doping. By reconstructing the phonon-self energy, we also investigate the effect of electrons on the phonons and the lattice.
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dc.language.iso
en
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dc.subject
Renormalization group
en
dc.subject
Quantum field theory
en
dc.subject
Hubbard model
en
dc.title
fRG Analysis and Fluctuation Diagnostics of the Hubbard-Holstein Model
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Poster Presentation
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tuw.researchinfrastructure
Vienna Scientific Cluster
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tuw.researchTopic.id
Q6
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tuw.researchTopic.name
Quantum Many-body Systems Physics
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E194-06 - Forschungsbereich Machine Learning
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tuw.author.orcid
0000-0002-3128-6350
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tuw.author.orcid
0009-0005-3482-132X
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tuw.event.name
12th International Conference on the Exact Renormalization Group
en
tuw.event.startdate
22-09-2024
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tuw.event.enddate
27-09-2024
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.country
CH
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tuw.event.presenter
Al-Eryani, Aiman
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wb.sciencebranch
Physik, Astronomie
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wb.sciencebranch.oefos
1030
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wb.sciencebranch.value
100
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item.languageiso639-1
en
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item.openairetype
conference poster not in proceedings
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item.grantfulltext
none
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item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_18co
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crisitem.author.dept
Ruhr University Bochum
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crisitem.author.dept
E194-06 - Forschungsbereich Machine Learning
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crisitem.author.dept
Ruhr University Bochum
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crisitem.author.orcid
0000-0002-3128-6350
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crisitem.author.orcid
0009-0005-3482-132X
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crisitem.author.parentorg
E194 - Institut für Information Systems Engineering
