Quantum-geometry-induced anapole superconductivity

TL;DR

This paper introduces a new mechanism for anapole superconductivity driven by quantum geometry, specifically Berry connection and interband pairing, and demonstrates its relevance in multiband polar superconductors like UTe2.

Contribution

It reveals quantum-geometry-induced anapole superconductivity as a universal feature in time-reversal symmetry-broken multiband superconductors, expanding understanding beyond previous asymmetric spectrum mechanisms.

Findings

Quantum geometry induces anapole moments in superconductors.

Application to UTe2 model confirms the theory.

Predicts unusual temperature dependence of Bogoliubov Fermi surfaces.

Abstract

Anapole superconductivity recently proposed for multiband superconductors Commun. Phys. $\bm 5$, 39\ (2022) (at https://www.nature.com/articles/s42005-022-00804-7) is a key feature of time-reversal ($\mathcal{T}$)-symmetry-broken polar superconductors. The anapole moment was shown to arise from the asymmetric Bogoliubov spectrum, which induces a finite center of mass momenta of Cooper pairs at the zero magnetic field. In this paper, we show an alternative mechanism of anapole superconductivity: the quantum geometry induces the anapole moment when the interband pairing and Berry connection are finite. Thus, the anapole superconductivity is a ubiquitous feature of $\mathcal{T}$-broken multiband polar superconductors. Applying the theory to a minimal model of UTe$_2$, we demonstrate the quantum-geometry-induced anapole superconductivity. Furthermore, we show the Bogoliubov Fermi surfaces (BFS) in an anapole superconducting state and predict an unusual temperature dependence of BFS due to the quantum geometry. Experimental verification of these phenomena may clarify the superconducting state in UTe$_2$ and reveal the ubiquitous importance of quantum geometry in exotic superconductors.