Topological superconductivity in Quantum Hall-superconductor hybrid systems

Abstract

We develop a scenario to engineer a topological phase with Majorana edge states based on an integer quantum Hall (QH) system proximity coupled to a superconductor (SC). Due to the vortices in the SC order parameter, the SC - QH hybrid system is described by a Bloch problem with ten unpaired momenta, corresponding to the maxima and saddle points of the SC order parameter. For external potentials respecting the symmetry of the vortex lattice, the states with unpaired momenta have degeneracies such that the system always is in a trivial phase. However, an incommensurate potential can lift the degeneracies and drive the system into a topologically nontrivial phase.

4.5 pages, 3 figures

References in corpus (18)

• The electronic properties of graphene
• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• Spin-Orbit Proximity Effect in Graphene
• Hard gap in epitaxial semiconductor-superconductor nanowires
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
• Fractional topological superconductors with fractionalized Majorana fermions
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Induced superconductivity in high mobility two dimensional electron gas in GaAs heterostructures
• Quantum Hall effect in graphene with superconducting electrodes
• Induced Superconductivity in Graphene Grown on Rhenium
• Andreev reflection at high magnetic fields: Evidence for electron and hole transport in edge states
• Perturbed vortex lattices and the stability of nucleated topological phases

Cited by in corpus (12)

• Vortex-enabled Andreev processes in quantum Hall-superconductor hybrids
• The improved inverted AlGaAs/GaAs interface: its relevance for high-mobility quantum wells and hybrid systems
• Vortex Lattice Structure and Topological Superconductivity in the Quantum Hall Regime
• Quantum Hall Superconductivity from Moir{é} Landau Levels
• Phase diagram of superconductivity in the integer quantum Hall regime
• Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas
• Chiral Quasiparticle Tunneling Between Quantum Hall Edges in Proximity with a Superconductor
• Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid
• Chirality-selective proximity effect between chiral $p$-wave superconductors and quantum Hall insulators
• Making s-wave superconductors topological with magnetic field
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
• Theory of Hofstadter Superconductors