# Effect of strain inhomogeneity on a chiral p-wave superconductor

## TL;DR

This paper investigates how inhomogeneous strain fields affect the transition temperature of a chiral p-wave superconductor, revealing a shift from linear to quadratic strain response due to inhomogeneity.

## Contribution

It introduces the impact of inhomogeneous strain on T$_c$ in chiral superconductors, a factor previously neglected in theoretical models.

## Key findings

- Strain inhomogeneity changes T$_c$ response from linear to quadratic.
- Inhomogeneous strain effects are significant in interpreting experimental data.
- Results are relevant for understanding superconductivity in Sr$_2$RuO$_4$.

## Abstract

Motivated by recent measurements of strain effects on the transition temperature (T$_c$) of Sr$_2$RuO$_4$, we study the strain response of a two-dimensional chiral p-wave supercoductor. We focus on the effects of inhomgeneous strain fields, which are always present in any such experiment, and which have been neglected in previous theoretical treatments. We show that the response of T$_c$ of a chiral superconductor to strain chages from being linear without inhomogeneity, to quadratic in the presence of inhomogeneity. We discuss our results in the context of the ongoing debate of superconductivity in Sr$_2$RuO$_4$.