Hall Effect for Dirac Electrons in Graphene Exposed to an Abrikosov Flux Lattice
arXiv:2010.14400 · doi:10.1209/0295-5075/132/37002
Abstract
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 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 (NbSe) 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 NbSe, when the magnetic field is uniform, to below, where the magnetic field bunches into an Abrikosov flux lattice.
References in corpus (16)
- Non-Abelian Anyons and Topological Quantum Computation
- New directions in the pursuit of Majorana fermions in solid state systems
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Introduction to topological superconductivity and Majorana fermions
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Topological phases with parafermions: theory and blueprints
- Quantum oscillations of the critical current and high-field superconducting proximity in ballistic graphene
- Supercurrent in the quantum Hall regime
- Inducing Superconducting Correlation in Quantum Hall Edge States
- Quantum Hall effect in graphene with superconducting electrodes
- Andreev reflection near the Dirac point at Graphene - NbSe2 junction
- Inter-Landau-level Andreev Reflection at the Dirac Point in a Graphene Quantum Hall State Coupled to a NbSe2 Superconductor
- Two-dimensional electron transport in the presence of magnetic flux vortices
- Tilted vortex cores and superconducting gap anisotropy in 2H-NbSe2
- Vortex Lattice Structure and Topological Superconductivity in the Quantum Hall Regime