Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire

Abstract

We discuss a strong relationship between Majorana fermions and odd-frequency Cooper pairs which appear at a disordered normal (N) nano wire attached to a topologically nontrivial superconducting (S) one. The transport properties in superconducting nano wire junctions show universal behaviors irrespective of the degree of disorder: the quantized zero-bias differential conductance at 2e^{2}/h in NS junction and the fractional current-phase (J-φ) relationship of the Josephson effect in SNS junction J\propto \sin(φ/2). Such behaviors are exactly the same as those in the anomalous proximity effect of odd-parity spin-triplet superconductors. We show that odd-frequency Cooper pairs support the universal transport properties. The odd-frequency pairs exist wherever the Majorana fermions stay.

13 pages, 6 figures

References in corpus (25)

• 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
• 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
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Theory of the proximity effect in junctions with unconventional superconductors
• Search for Majorana fermions in multiband semiconducting nanowires
• Majorana edge states in interacting one-dimensional systems
• Topological spin-current in non-centrosymmetric superconductors
• Odd-frequency pairing in normal metal/superconductor junctions
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Anomalous Josephson effect in p-wave dirty junctions
• Conductance Spectroscopy of Spin-triplet Superconductors
• Majorana fermions in density modulated p-wave superconducting wires
• Topologically non-trivial superconductivity in spin-orbit coupled systems: Bulk phases and quantum phase transitions
• Majorana fermions in an out-of-equilibrium topological superconducting wire: an exact microscopic transport analysis of a p-wave open chain coupled to normal leads
• Andreev Bound states in One Dimensional Topological Superconductor

Cited by in corpus (50)

• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
• Theory of Majorana zero modes in unconventional superconductors
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Superconducting phenomena in systems with unconventional magnets
• Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Odd-frequency pair in topological superconductivity of 1D magnetic chain
• Magnetoelectric effects in Josephson junctions
• Anomalous Proximity Effect and Theoretical Design for its Realization
• Tilting of the magnetic field in Majorana nanowires: critical angle and zero-energy differential conductance
• Topological superconductivity and Majorana states in low-dimensional systems
• Unconventional proximity-induced superconductivity in bilayer systems
• Consequences of bulk odd-frequency superconducting states for the classification of Cooper pairs
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Generalized Eilenberger theory for Majorana zero-mode-carrying disordered $p$-wave superconductors
• Odd-frequency pairing and Ising spin susceptibility in time-reversal invariant superfluids and superconductors
• Majorana zero modes in spintronics devices
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Quasiparticle on Bogoliubov Fermi Surface and Odd-Frequency Cooper Pair
• Theory of proximity effect in $s+p$-wave superconductor junctions
• Emergent pair symmetries in systems with poor man's Majorana modes
• Strong anomalous proximity effect from spin-singlet superconductors
• Effects of the phase coherence on the local density of states in superconducting proximity structures
• Conduction spectroscopy of a proximity induced superconducting topological insulator
• Do Majorana zero modes emerge in the hybrid nanowire under a strong magnetic field?
• Generation of polarized spin-triplet Cooper pairings by magnetic barriers in superconducting junctions
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Andreev reflection in Euler materials
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Odd-parity pairing correlations in a d-wave superconductor
• Interaction-induced topological superconductivity in antiferromagnet-superconductor junctions
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• An odd-frequency Cooper pair around a magnetic impurity
• Odd-frequency pairing due to Majorana and trivial Andreev bound states
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Anisotropic paramagnetic response of topological Majorana surface states in the superconductor ${\text{UTe}}_2$
• Symmetry analysis of transport properties in helical superconductor junctions
• Odd-frequency pairing in a nonunitary p-wave superconductor with multiple Majorana fermions
• Anomalous proximity effect under Andreev and Majorana bound states
• Discontinuous Transition to Superconducting Phase
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Predicting topological invariants and unconventional superconducting pairing from density of states and machine learning
• Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions
• In situ tuning of dynamical Coulomb blockade on Andreev bound states in hybrid nanowire devices
• Surface induced odd-frequency spin-triplet superconductivity as a veritable signature of Majorana bound states
• Multi-locational Majorana Zero Modes
• Equal contribution of even and odd frequency pairing to transport across normal metal-superconductor junctions
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Identification of odd-frequency superconducting pairing in Josephson junctions