First-order effect of electron-electron interactions on the anomalous Hall conductivity of massive Dirac fermions

Alexandra-Daria Dumitriu-Iovanescu, Darius-Alexandru Deaconu, Alexander Kazantsev, Alessandro Principi

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the first-order correction to the anomalous Hall conductivity of 2D massive Dirac fermions arising from electron-electron interactions. In a fully gapped system in the limit of zero temperature, we find that this correction vanishes, confirming the absence of perturbative corrections to the topological Hall conductivity. At finite temperature or chemical potential, we find that the total Hall response decays faster than in the noninteracting case, depending on the strength of electron-electron interactions. These features, which could potentially be observed experimentally, show the importance of two-body interactions for anomalous Hall transport.

Original languageEnglish
Article number165429
JournalPhysical Review B
Volume109
Issue number16
DOIs
Publication statusPublished - 18 Apr 2024

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