Chiral superconductivity in nematic states

TL;DR

This paper explores how nematic electronic states influence chiral superconductivity, revealing various vortex lattice structures and proposing experimental tests for nematic order and chiral pairing in specific materials.

Contribution

It introduces a two-component Ginzburg-Landau model to analyze vortex structures in nematic-chiral superconductors and predicts structural transitions based on anisotropy and nematic orientation.

Findings

Vortex lattice structures are stabilized by nematicity and chirality.

Structural transitions occur depending on anisotropy parameter and nematic axis.

Proposes experimental methods to detect nematic order and chiral superconductivity.

Abstract

We investigate chiral superconductivity which occurs in the electronic nematic state. A vortex state in a $c$-axis magnetic field is studied on the basis of the two-component Ginzburg-Landau model for nematic-chiral superconductors. It is shown that various vortex lattice structures are stabilized by nontrivial cooperation of nematicity and chirality in superconductors. In particular, the vortex lattice structural transition occurs when a square anisotropy parameter $\nu$ is positive (negative) and the nematicity is induced along the [110] axis ([100] axis). We discuss nematic-chiral superconductivity in URu$_2$Si$_2$, Sr$_2$RuO$_4$, and UPt$_3$. An experimental test for the examination of nematic order and chiral superconductivity is proposed.