Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model

Abstract

We show that a single-fermion quantum dot acquires odd-frequency Gor'kov anomalous averages in proximity to strongly correlated Majorana zero modes, described by the Sachdev-Ye-Kitaev (SYK) model. Despite the presence of finite anomalous pairing, the superconducting gap vanishes for the intermediate coupling strength between the quantum dot and Majoranas. The increase of the coupling leads to smooth suppression of the original quasiparticles. This effect might be used as a characterization tool for recently proposed tabletop realizations of the SYK model.

arXiv comment6 pages, 5 figures; Published version

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Cited by in corpus (9)

• Odd-frequency superconductivity
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Odd-frequency superconducting pairing in one-dimensional systems
• Theory of Majorana zero modes in unconventional superconductors
• Quantum critical Eliashberg theory, the SYK superconductor and their holographic duals
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Ferroelectricity-induced multiorbital odd-frequency superconductivity in SrTiO${}_3$
• Quantum Pairing Time Orders