Odd-frequency superconductivity in a nanowire coupled to Majorana zero modes

Abstract

Odd-frequency superconductivity, originally proposed by Berezinskii in 1974, is an exotic phase of matter in which Cooper pairing between electrons is entirely dynamical in nature. The pair potential is an odd function of frequency, leading to a vanishing static superconducting order parameter and exotic types of pairing seemingly inconsistent with Fermi statistics. Motivated by recent experimental progress in the realization of Majorana zero modes in semiconducting nanowires, we show that odd-frequency superconductivity generically appears in a spin-polarized nanowire coupled to Majorana zero modes. We explicitly calculate the superfluid response and show that it is characterized by a paramagnetic Meissner effect.

12 pages, 6 figures

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Cited by in corpus (36)

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• Theory of Majorana zero modes in unconventional superconductors
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets
• 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
• Odd-frequency pairing and proximity effect in Kitaev chain systems including topological critical point
• Proximity-induced supercurrent through topological insulator based nanowires for quantum computation studies
• Odd-frequency superconducting pairing in Kitaev-based junctions
• Suppression of odd-frequency pairing by phase-disorder in a nanowire coupled to Majorana zero modes
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Dia- and paramagnetic Meissner effect from odd-frequency pairing in multi-orbital superconductors
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Exciting odd frequency equal-spin-triplet correlations at metal-superconductor interfaces
• Emergent pair symmetries in systems with poor man's Majorana modes
• Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
• Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Generation of polarized spin-triplet Cooper pairings by magnetic barriers in superconducting junctions
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Odd-frequency pairing due to Majorana and trivial Andreev bound states
• Tunnelling conductance of $d+ip$-wave superconductor
• Odd-frequency Pairing in the Edge States of Superconducting Pnictides in the Coexistence Phase with Antiferromagnetism
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Surface induced odd-frequency spin-triplet superconductivity as a veritable signature of Majorana bound states
• Meissner effect in non-Hermitian superconductors
• Exactly solvable Majorana-Anderson impurity models
• Equal contribution of even and odd frequency pairing to transport across normal metal-superconductor junctions
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry
• Emergence of a condensate with finite-energy Cooper pairing in hybrid exciton/superconductor systems
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures