Universal spin-triplet superconducting correlations of Majorana fermions

Abstract

We establish that Majorana fermions on the boundary of topological superconductors have only spin-triplet superconducting correlations independent of whether the bulk superconducting gap is spin singlet or triplet. This is universal for time-reversal broken (respected) topological superconductors (TSCs) with an odd number of (pairs of) Majorana fermions on the boundary. Consequently, resonant Andreev reflection induced by Majorana fermions only occurs in spin-triplet channels and always injects spin-triplet Cooper pairs into the leads. This spin-triplet condensate results in a spin-orbit coupling (SOC) controlled oscillatory critical current without a $0$-$\pi$ transition in the TSC/SOC-semiconductor/TSC Josephson junction. The observation of this unique current-phase relation can serve as the definitive signal for Majorana fermions. Our study shows a technique for manipulating Majorana fermions based on their spin-triplet superconducting correlations.

5+4 pages, three figures, replaced with published version

References in corpus (21)

• 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
• Dissipationless Quantum Spin Current at Room Temperature
• 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
• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Emergence of the persistent spin helix in semiconductor quantum wells
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Theory of the proximity effect in junctions with unconventional superconductors
• Direct mapping of the formation of a persistent spin helix: Supplementary information
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
• Non-diffusive spin dynamics in a two-dimensional electron gas
• Gating of high-mobility InAs metamorphic heterostructures
• Coherent Propagation of Spin Helices in a Quantum-Well Confined Electron Gas

Cited by in corpus (36)

• Odd-frequency superconducting pairing in one-dimensional systems
• Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
• Superconducting proximity effect in three-dimensional topological insulators in the presence of a magnetic field
• Odd-Frequency Triplet Superconductivity at the Helical Edge of a Toplogical Insulator
• How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Bulk disorder in the superconductor affects proximity-induced topological superconductivity
• Majorana spintronics
• Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Multiple signatures of topological transitions for interacting fermions in chain lattices
• General framework for transport in spin-orbit-coupled superconducting heterostructures: Nonuniform spin-orbit coupling and spin-orbit-active interfaces
• Odd frequency pairing of interacting Majorana fermions
• Universal spin superconducting diode effect from spin-orbit coupling
• Platform of chiral Majorana edge modes and its quantum transport phenomena
• Odd-frequency superconducting pairing in Kitaev-based junctions
• Spin-polarized Andreev tunneling through the Rashba chain
• Conductance spectroscopy of nontopological-topological superconductor junctions
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Transport in superconductor--normal metal--superconductor tunneling structures: Spinful p-wave and spin-orbit-coupled topological wires
• Substrate-induced Majorana renormalization in topological nanowires
• Supercurrent as a Probe for Topological Superconductivity in Magnetic Adatom Chains
• Spin-Pairing Correlations and Spin Polarization of Majorana Bound States in Two-Dimensional Topological Insulator Systems
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Effects of Rashba-spin-orbit coupling on superconducting boron-doped nanocrystalline diamond films: evidence of interfacial triplet superconductivity
• Generating Giant Spin Currents Using Nodal Topological Superconductors
• Josephson current in a normal-metal nanowire coupled to superconductor/ferromagnet/superconductor junction
• Enhanced zero-bias conductance peak and splitting at mesoscopic interfaces between an $s$-wave superconductor and a 3D Dirac semimetal
• Superconducting spin properties of Majorana nanowires and the associated superconducting anomalous Hall effect
• Spin Signature of Majorana Fermions in Topological Nodal-Point Superconductors
• Phase transitions in quantum dot-Majorana zero mode coupling systems
• Helical spin texture and interference of Majorana bound states in one-dimensional topological superconductor
• Anomalous behaviour of the temperature dependencies of the upper critical fields in (Dy1-xErx)Rh3.8Ru0.2B4 (x=0, 0.2, 0.4)