Induced odd-frequency superconducting state in vertex-corrected Eliashberg theory

Abstract

We show that vertex corrections to Migdal's theorem in general induce an odd-frequency spin-triplet superconducting order parameter, which coexists with its more commonly known even-frequency spin-singlet counterpart. Fully self-consistent vertex-corrected Eliashberg theory calculations for a two dimensional cuprate model, isotropically coupled to an Einstein phonon, confirm that both superconducting gaps are finite over a wide range of temperatures. The subordinate $d$-wave odd-frequency superconducting gap is found to be one order of magnitude smaller than the primary even-frequency $d$-wave gap. Our study provides a direct proof of concept for a previously unknown generation mechanism of odd-frequency superconductivity as well as for the generic coexistence of both superconducting states in bulk materials.

References in corpus (39)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• Superconducting Spintronics
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Triplet supercurrents in clean and disordered half-metallic ferromagnets
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Odd-frequency superconductivity
• Signature of magnetic-dependent gapless odd frequency states at superconductor/ferromagnet interfaces
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Odd-frequency superconducting pairing in multi-band superconductors
• Realization of odd-frequency p-wave spin-singlet superconductivity coexisting with antiferromagnetic order near quantum critical point
• Proximity-induced unconventional superconductivity in topological insulators
• Intrinsic Paramagnetic Meissner Effect due to s-wave Odd-Frequency Superconductivity
• Signature of odd-frequency pairing correlations induced by a magnetic interface
• Interactions for odd-omega gap singlet superconductors
• Magnetic field induced pattern of coexisting condensates in the superconducting state of CeCoIn${}_5$
• On stability of odd-frequency superconducting state
• Creation of equal-spin triplet superconductivity at the Al/EuS interface
• On the Puzzle of Odd-Frequency Superconductivity
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Meissner Effect Probing of Odd-Frequency Triplet Pairing in Superconducting Spin Valves
• Band hybridization induced odd-frequency pairing in multiband superconductors
• Properties of spin-triplet, even-parity superconductors
• Full-bandwidth Eliashberg theory of superconductivity beyond Migdal's approximation
• Possible Odd-Frequency Superconductivity in Strong-Coupling Electron-Phonon Systems
• Unveiling odd-frequency pairing around a magnetic impurity in a superconductor
• Advanced first-principles theory of superconductivity including both lattice vibrations and spin fluctuations: The case of FeB${}_4$
• Coexistence of Even- and Odd-Frequency Superconductivities Under Broken Time-Reversal Symmetry
• Multiple odd-frequency superconducting states in buckled quantum spin Hall insulators with time-reversal symmetry
• Eliashberg theory for spin-fluctuations mediated superconductivity -- Application to bulk and monolayer FeSe
• Odd-frequency superconductivity near a magnetic impurity in a conventional superconductor
• Band-filling effects on electron-phonon properties of normal and superconducting state
• Multichannel superconductivity of monolayer FeSe on SrTiO${}_3$: Interplay of spin fluctuations and electron-phonon interaction
• Influence of phonon renormalization in Eliashberg theory for superconductivity in 2D and 3D systems
• Identifying the odd-frequency superconducting state by a field-induced Josephson effect
• Influence of electron-phonon coupling strength on signatures of even and odd-frequency superconductivity
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Exploring multichannel superconductivity in ThFeAsN

Cited by in corpus (3)

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• Theoretical study of phonon-mediated superconductivity beyond Migdal-Eliashberg approximation and Coulomb pseudopotential