Electrical conductivity in the Hubbard model: Orbital effects of magnetic field

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dc.citation.issue20
dc.citation.rankM21
dc.citation.spage205101
dc.citation.volume104
dc.contributor.authorVučičević, Jakša
dc.contributor.authorŽitko, Rok
dc.date.accessioned2024-06-13T12:57:37Z
dc.date.available2024-06-13T12:57:37Z
dc.date.issued2021-11-02
dc.description.abstractCalculation of conductivity in the Hubbard model is a challenging task. Recent years have seen much progress in this respect and numerically exact solutions are now possible in certain regimes. In this paper we discuss the calculation of conductivity for the square-lattice Hubbard model in the presence of a perpendicular magnetic field, focusing on orbital effects. We present the relevant formalism in all detail and in full generality, and then discuss the simplifications that arise at the level of the dynamical mean field theory (DMFT). We prove that the Kubo bubble preserves gauge and translational invariance, and that in the DMFT the vertex corrections cancel regardless of the magnetic field. We present the DMFT results for the spectral function and both the longitudinal and Hall conductivities in several regimes of parameters. We analyze thoroughly the quantum oscillations of the longitudinal conductivity and identify a high-frequency oscillation component, arising as a combined effect of scattering and temperature, in line with recent experimental observations in moiré systems.
dc.identifier.doi10.1103/physrevb.104.205101
dc.identifier.issn2469-9950
dc.identifier.issn2469-9969
dc.identifier.scopus2-s2.0-85119098155
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/88
dc.identifier.wos000716343800001
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review B
dc.relation.ispartofabbrPhys. Rev. B
dc.rightsopenAccess
dc.titleElectrical conductivity in the Hubbard model: Orbital effects of magnetic field
dc.typeArticle
dc.type.versionpublishedVersion
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