Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
arXiv:2203.05894 · doi:10.1103/PhysRevB.106.075410
Abstract
We consider a hybrid quantum Hall-superconductor system, where a superconducting finger with oblique profile is wedged into a two-dimensional electron gas in the presence of a perpendicular magnetic field, as considered by Lee et al., Nat. Phys. 13, 693 (2017). The electron gas is in the quantum Hall regime at filling factor . Due to the Meissner effect, the perpendicular magnetic field close to the quantum Hall-superconductor boundary is distorted and gives rise to an in-plane component of the magnetic field. This component enables nonlocal crossed Andreev reflection between the spin-polarized chiral edge states running on opposite sides of the superconducting finger, thus opening a gap in the spectrum of the edge states without the need of spin-orbit interaction or nontrivial magnetic textures. We compute numerically the transport properties of this setup and show that a negative resistance exists as a consequence of nonlocal Andreev processes. We also obtain numerically the zero-energy local density of states, which systematically shows peaks stable to disorder. The latter result is compatible with the emergence of Majorana bound states.
21 pages, 19 figures
References in corpus (33)
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Spin Filtered Edge States and Quantum Hall Effect in Graphene
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
- Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
- Near-unity Cooper pair splitting efficiency
- Crossed Andreev reflection in a graphene bipolar transistor
- Andreev rectifier: a nonlocal conductance signature of topological phase transitions
- Cooper Pair Splitting by means of Graphene Quantum Dots
- Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
- Quantum Hall effect in graphene with superconducting electrodes
- Probing Majorana Physics in Quantum Dot Shot Noise Experiments
- Sign of the crossed conductances at a FSF double interface
- Andreev reflection in the fractional quantum Hall state
- Fractional entropy of multichannel Kondo systems from conductance-charge relations
- Nonlocal Andreev Entanglements and Triplet Correlations in Graphene with Spin Orbit Coupling
- Majorana bound states in semiconducting nanostructures
- Scanning gradiometry with a single spin quantum magnetometer
- Crossed Andreev effects in two-dimensional quantum Hall systems
- Cooper-Pair Injection into Quantum Spin Hall Insulators
- Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
- Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
- Conductance oscillations with magnetic field of a two-dimensional electron gas-superconductor junction
- Andreev transport in two-dimensional normal-superconducting systems in strong magnetic fields
- Majorana finite frequency nonequilibrium quantum noise
- Majorana entropy revival via tunneling phases
- Superconducting contacts to a monolayer semiconductor
- Nonlocal thermoelectric engines in hybrid topological Josephson junctions
- Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
- Double-gap superconducting proximity effect in nanotubes
- Crossed Andreev reflection in topological insulator nanowire T-junctions