From Andreev bound states to Majorana fermions in topological wires on superconducting substrates : a story of mutation

Abstract

We study the proximity effect in a topological nanowire tunnel coupled to an s-wave superconducting substrate. We use a general Green's function approach that allows us to study the evolution of the Andreev bound states in the wire into Majorana fermions. We show that the strength of the tunnel coupling induces a topological transition in which the Majorana fermionic states can be destroyed when the coupling is very strong. Moreover, we provide a phenomenologial study of the effects of disorder in the superconductor on the formation of Majorana fermions. We note a non-trivial effect of a quasiparticle broadening term which can take the wire from a topological into a non-topological phase in certain ranges of parameters. Our results have also direct consequences for a nanowire coupled to an inhomogenous superconductor.

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• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• On controlling the bound states in quantum-dot hybrid-nanowire
• Effective g-factor in Majorana Wires
• How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
• Proximity effect and Majorana bound states in clean semiconductor nanowires coupled to disordered superconductors
• Proximity induced superconductivity in Weyl semi-metals
• Approaching a topological phase transition in Majorana nanowires
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Constructive influence of the induced electron pairing on the Kondo state
• Mirage Andreev spectra generated by mesoscopic leads in nanowire quantum dots
• Disorder-induced topological transitions in multichannel Majorana wires
• Superconducting proximity effect and order parameter fluctuations in disordered and quasiperiodic systems
• Andreev and Majorana bound states in single and double quantum dot structures
• Proximity-induced superconductivity within the InAs/GaSb edge conducting state
• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
• Topological superconductivity at finite temperatures in proximitized magnetic nanowires
• Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain
• Conductance oscillations at the interface between a superconductor and the helical edge channel in a narrow HgTe quantum well
• Charge transfer statistics of transport through Majorana bound states
• Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductors
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• First principles study of topological phase in chains of $3d$ transition metals
• Manipulating Andreev and Majorana Bound States with microwaves
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Leakage of the Majorana quasiparticles in Rashba nanowire deposited on superconducting--normal substrate
• High critical temperature nodal superconductors as building block for time-reversal invariant topological superconductivity
• Fermion-parity switches of the ground state of Majorana billiards
• Topology from Triviality
• Proximity-induced collective modes in an unconventional superconductor heterostructure
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Disorder effects in planar semiconductor-superconductor structures: Majorana wires versus Josephson junctions