Hall effect for Dirac electrons in graphene exposed to an Abrikosov flux lattice

Jonathan Schirmer, Ravi Kumar, Vivas Bagwe, Pratap Raychaudhuri, Takashi Taniguchi, Kenji Watanabe, C. X. Liu, Anindya Das, J. K. Jain

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The proposals for realizing exotic particles through coupling of quantum Hall effect to superconductivity involve spatially non-uniform magnetic fields. As a step toward that goal, we study, both theoretically and experimentally, a system of Dirac electrons exposed to an Abrikosov flux lattice. We theoretically find that the non-uniform magnetic field causes a carrier-density-dependent reduction of the Hall conductivity. Our studies show that this reduction originates from a rather subtle effect: a levitation of the Berry curvature within Landau levels broadened by the non-uniform magnetic field. Experimentally, we measure the magneto-transport in a monolayer graphene-hexagonal boron nitride-niobium diselenide (NbSe2) heterostructure, and find a density-dependent reduction of the Hall resistivity of graphene as the temperature is lowered from above the superconducting critical temperature of NbSe2, when the magnetic field is uniform, to below, where the magnetic field bunches into an Abrikosov flux lattice.

Original languageEnglish (US)
Article number37002
Issue number3
StatePublished - Oct 2020

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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