Superconducting gap ratio from strange metal phase in the absence of quasiparticles

TL;DR

This paper introduces a lattice model inspired by SYK physics to explore high-temperature superconductivity, revealing a higher superconducting gap ratio than BCS theory due to strong coupling effects.

Contribution

It presents a novel strongly interacting electron model that captures the strange metal phase and explains the superconducting gap ratio in high-Tc superconductors.

Findings

Superconducting gap ratio exceeds BCS predictions due to coupling and spin effects.

Under certain conditions, the ratio aligns with BCS theory.

Model provides insights into the pairing mechanism in cuprates.

Abstract

A lattice model for strongly interacting electrons motivated by a rank-3 tensor model provides a tool for understanding the pairing mechanism of high-temperature superconductivity. This SYK-like model describes the strange metal phase in the cuprate high temperature superconductors. Our calculation indicates that the superconducting gap ratio in this model is higher than the ratio in the BCS theory due to the coupling term and the spin operator. Under certain conditions, the ratio also agrees with the BCS theory. Our results relate to the case of strong coupling, so it may pave the way to gaining insight into the cuprate high temperature superconductors.