Abstract

Quantum geometry can strongly influence the low-energy properties of gapped superconductors in the presence of disorder. The paper develops a low-energy Bogoliubov–de Gennes description and a microscopic square-lattice model with tunable quantum geometry and disorder in the pairing interaction. It shows that the Fubini-Study metric enhances the localization length and hybridization of Andreev bound states at disorder-induced π-junctions, and reports numerical results for localization length, inverse participation ratio, superfluid stiffness, and spectral functions as a function of quantum geometry.

Abstract

Quantum geometry can strongly influence the low-energy properties of gapped superconductors in the presence of disorder. The paper develops a low-energy Bogoliubov–de Gennes description and a microscopic square-lattice model with tunable quantum geometry and disorder in the pairing interaction. It shows that the Fubini-Study metric enhances the localization length and hybridization of Andreev bound states at disorder-induced π-junctions, and reports numerical results for localization length, inverse participation ratio, superfluid stiffness, and spectral functions as a function of quantum geometry.

Abstract

Quantum geometry can strongly influence the low-energy properties of gapped superconductors in the presence of disorder. The paper develops a low-energy Bogoliubov–de Gennes description and a microscopic square-lattice model with tunable quantum geometry and disorder in the pairing interaction. It shows that the Fubini-Study metric enhances the localization length and hybridization of Andreev bound states at disorder-induced π-junctions, and reports numerical results for localization length, inverse participation ratio, superfluid stiffness, and spectral functions as a function of quantum geometry.

Abstract

Quantum geometry can strongly influence the low-energy properties of gapped superconductors in the presence of disorder. The paper develops a low-energy Bogoliubov–de Gennes description and a microscopic square-lattice model with tunable quantum geometry and disorder in the pairing interaction. It shows that the Fubini-Study metric enhances the localization length and hybridization of Andreev bound states at disorder-induced π-junctions, and reports numerical results for localization length, inverse participation ratio, superfluid stiffness, and spectral functions as a function of quantum geometry.