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dc.contributor.authorCampbell, Daviden_US
dc.contributor.authorYirga, Nahomen_US
dc.date.accessioned2021-01-28T14:20:31Z
dc.date.available2021-01-28T14:20:31Z
dc.date.issued2020-12-09
dc.identifier.citationDavid Campbell, Nahom Yirga. "Frequency Dependent Functional Renormalization Group for Interacting Fermionic Systems." https://arxiv.org/abs/2010.02163
dc.identifier.urihttps://hdl.handle.net/2144/41930
dc.description.abstractWe derive an expansion of the functional renormalization (fRG) equations that treats the frequency and momentum dependencies of the vertices in a systematic manner. The scheme extends the channel-decomposed fRG equations to the frequency domain and reformulates them as a series of linear integral equations in the particle-particle, particle-hole and particle-hole exchange channels. We show that the linearity of the equations offers numerous computational advantages and leads to converged, stable solutions for a variety of Hamiltonians. As the expansion is in the coupling between channels, the truncations that are necessary to making the scheme computationally viable still lead to equations that treat contributions from all channels equally. As a first benchmark we apply the two-loop fRG equations to the single impurity Anderson model. We consider the sources of error within the fRG, the computational cost associated with each, and how the choice of regulator affects the flow of the fRG. We then use the optimal truncation scheme to study the Extended Hubbard Hamiltonian in one and two dimensions. We find that in many cases of interest the fRG flow converges to a stable vertex and self-energy from which we can extract the various correlation functions and susceptibilities of interest.en_US
dc.language.isoen_US
dc.subjectStrongly correlated electronsen_US
dc.titleFrequency dependent functional renormalization group for interacting fermionic systemsen_US
dc.typeArticleen_US
dc.description.versionFirst author draften_US
pubs.elements-sourcemanual-entryen_US
pubs.notesEmbargo: No embargoen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusIn preparationen_US
dc.identifier.orcid0000-0002-4502-5629 (Campbell, David)
dc.identifier.mycv519538


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