Phase-locked magnetoconductance oscillations as a probe of Majorana edge states

Abstract

We calculate the Andreev conductance of a superconducting ring interrupted by a flux-biased Josephson junction, searching for electrical signatures of circulating edge states. Two-dimensional pair potentials of spin-singlet d-wave and spin-triplet p-wave symmetry support, respectively, (chiral) Dirac modes and (chiral or helical) Majorana modes. These produce h/e-periodic magnetoconductance oscillations of amplitude \simeq (e^{2}/h)N^{-1/2}, measured via an N-mode point contact at the inner or outer perimeter of the grounded ring. For Dirac modes the oscillations in the two contacts are independent, while for an unpaired Majorana mode they are phase locked by a topological phase transition at the Josephson junction.

arXiv comment10 pages, 6 figures. New appendix on the gauge invariant discretization of the Bogoliubov-De Gennes equation. Accepted for publication in PRB

References in corpus (30)

• Topological Insulators
• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Majorana fermions in a tunable semiconductor device
• Majorana Fermion Induced Resonant Andreev Reflection
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Topological Superconductivity and Superfluidity
• Chiral superconductivity from repulsive interactions in doped graphene
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
• Josephson supercurrent through a topological insulator surface state
• The spin quantum Hall effect in unconventional superconductors
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Gate-tuned normal and superconducting transport at the surface of a topological insulator
• Topological spin-current in non-centrosymmetric superconductors
• Scattering formula for the topological quantum number of a disordered multi-mode wire
• On edge states in superconductor with time inversion symmetry breaking
• Conductance and noise signatures of Majorana backscattering
• Quasiparticles and Vortices in Unconventional Superconductors
• Helical Dirac-Majorana interferometer in a superconductor-topological insulator sandwich structure
• Interferometric and noise signatures of Majorana fermion edge states in transport experiments
• Random-matrix theory of Andreev reflection from a topological superconductor
• Scattering theory of chiral Majorana fermion interferometry
• Domain wall in a chiral p-wave superconductor: a pathway for electrical current
• Scattering theory of topological invariants in nodal superconductors
• Nonlocal conductance reveals helical superconductors

Cited by in corpus (12)

• Topological surface states in nodal superconductors
• Annihilation of colliding Bogoliubov quasiparticles reveals their Majorana nature
• Signatures of topological phase transitions in Josephson current-phase discontinuities
• Tunneling transport in NSN junctions made of Majorana nanowires across the topological quantum phase transition
• Signatures of Majorana Fermions in Topological Insulator Josephson Junction Devices
• Topologically protected Landau level in the vortex lattice of a Weyl superconductor
• Magnetic Flux Control of Chiral Majorana Edge Modes in Topological Superconductor
• Degeneracy of Majorana bound states and fractional Josephson effect in a dirty SNS junction
• Absence of Aharonov-Bohm effect of chiral Majorana fermion edge states
• Two-impurity helical Majorana problem
• Protected gap closing in Josephson junctions constructed on Bi${}_2$Te${}_3$ surface
• Josephson oscillations of chirality and identity in two-dimensional solitons in spin-orbit-coupled condensates