Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor

Abstract

We study theoretically the proximity effect of a one-dimensional metallic quantum wire (in the absence of spin-orbit interaction) lying on top of an unconventional superconductor. Three different material classes are considered as a substrate: (i) a chiral superconductor in class D with broken time-reversal symmetry; a class DIII superconductor (ii) with and (iii) without a nontrivial Z2 number. Interestingly, we find degenerate zero energy Majorana bound states at both ends of the wire for all three cases. They are unstable against spin-orbit interaction in case (i) while they are topologically protected by time-reversal symmetry in cases (ii) and (iii). Remarkably, we show that non-local spin correlations between the two ends of the wire can be simply controlled by a gate potential in our setup.

5 pages

References in corpus (16)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Search for Majorana fermions in multiband semiconducting nanowires
• Simplified topological invariants for interacting insulators
• Topological spin-current in non-centrosymmetric superconductors
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Topologically non-trivial superconductivity in spin-orbit coupled systems: Bulk phases and quantum phase transitions
• Majorana Zero Modes in Semiconductor Nanowires in Contact with Higher-$T_c$ Superconductors

Cited by in corpus (17)

• Topology of crystalline insulators and superconductors
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Topological superconductivity and unconventional pairing in oxide interfaces
• Majorana Fermions in Chiral Topological Ferromagnetic Nanowires
• Majorana Braiding Dynamics on Nanowires
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Hidden-symmetry-protected topological phases on a one-dimensional lattice
• Fano interference and a slight fluctuation of the Majorana hallmark
• Majorana fermions in semiconductor nanostructures with two wires connected through ring
• Quantum simulation of topological Majorana bound states and their universal quantum operations using charge-qubit arrays