# Superconductivity from piezoelectric interactions in Weyl semimetals

## TL;DR

This paper develops a theory showing that piezoelectric interactions in Weyl semimetals can induce superconductivity and affect quasiparticle decay, with implications for materials like TaAs.

## Contribution

It introduces an analytical low-energy theory of piezoelectric electron-phonon interactions in Weyl semimetals, predicting superconducting phases and quasiparticle behavior.

## Key findings

- Piezoelectric interactions generate a long-range attractive potential between Weyl fermions.
- Superconducting phases with s-wave or nodal-line triplet pairing are predicted at strong coupling.
- Quasiparticle decay rate shows linear temperature dependence with a logarithmic vanishing prefactor.

## Abstract

We present an analytical low-energy theory of piezoelectric electron-phonon interactions in undoped Weyl semimetals, taking into account also Coulomb interactions. We show that piezoelectric interactions generate a long-range attractive potential between Weyl fermions. This potential comes with a characteristic angular anisotropy. From the one-loop renormalization group approach and a mean-field analysis, we predict that superconducting phases with either conventional s-wave singlet pairing or nodal-line triplet pairing could be realized for sufficiently strong piezoelectric coupling. For small couplings, we show that the quasi-particle decay rate exhibits a linear temperature dependence where the prefactor vanishes only in a logarithmic manner as the quasi-particle energy approaches the Weyl point. For practical estimates, we consider the Weyl semimetal TaAs.