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

## TL;DR

This paper demonstrates that a quantum dot coupled to SYK-model Majorana modes exhibits odd-frequency pairing without a superconducting gap, revealing a novel interplay between strong correlations and superconductivity.

## Contribution

It introduces the phenomenon of gapless odd-frequency superconductivity induced by the SYK model in a quantum dot system, highlighting a new way to probe SYK physics.

## Key findings

- Quantum dot acquires odd-frequency Gor'kov averages near SYK Majoranas.
- Superconducting gap vanishes at intermediate coupling strength.
- Coupling increase suppresses original quasiparticles smoothly.

## 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.