Anomalous Temperature Dependence of Quantum-Geometric Superfluid Weight

TL;DR

This paper investigates how quantum geometry influences the temperature dependence of superfluid weight in superconductors, revealing unconventional behaviors and offering new insights into pairing mechanisms.

Contribution

It introduces a novel analysis of quantum-geometric effects on superfluid weight's temperature dependence, highlighting deviations from conventional theories.

Findings

Power laws differ from traditional models.

Quantum geometry affects superconducting symmetry.

Implications for twisted multilayer graphene superconductivity.

Abstract

The symmetry of Cooper pairs encodes key information about superconductivity and has been widely studied through the temperature dependence of the superfluid weight. However, in systems dominated by quantum geometry, conventional theories miss its essential properties. We study the temperature dependence of the quantum-geometric superfluid weight and classify the relationship to the superconducting symmetry and band structures. The obtained power laws are different from conventional behavior, and unconventional superconductivity in twisted multilayer graphene is discussed. Our findings provide insights into the superconducting symmetry and the pairing mechanism via quantum geometry.