Optical signatures of Euler superconductors

Fuente: arXiv
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Autori principali: Chau, Chun Wang, Jankowski, Wojciech J., Slager, Robert-Jan
Natura: Preprint
Pubblicazione: 2025
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author Chau, Chun Wang
Jankowski, Wojciech J.
Slager, Robert-Jan
author_facet Chau, Chun Wang
Jankowski, Wojciech J.
Slager, Robert-Jan
contents We study optical manifestations of multigap band topology in multiband superconductors with a nontrivial topological Euler class. We introduce a set of lattice models for non-Abelian superconductors with the Euler invariant signified by a nontrivial quantum geometry. We then demonstrate that the topological Bogoliubov excitations realized in these models provide for a characteristic first-order optical response distinct from those of the other known topological superconductors. We find that the spectral distribution of the optical conductivity universally admits a topological jump originating from the Euler class in the presence of $d$-wave superconducting pairings, and naturally differs from the features induced by the quantum geometry in the noninteracting bands without pairing terms. Further to uncovering observable signatures in first-order optical conductivities, we showcase that the higher-order optical responses of the non-Abelian Euler superconductor can result in enhanced nonlinear currents that fingerprint the exotic topological invariant. Finally, by employing a diagrammatic approach, we generalize our findings beyond the specific models of Euler superconductors.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00960
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optical signatures of Euler superconductors
Chau, Chun Wang
Jankowski, Wojciech J.
Slager, Robert-Jan
Superconductivity
Mesoscale and Nanoscale Physics
Optics
We study optical manifestations of multigap band topology in multiband superconductors with a nontrivial topological Euler class. We introduce a set of lattice models for non-Abelian superconductors with the Euler invariant signified by a nontrivial quantum geometry. We then demonstrate that the topological Bogoliubov excitations realized in these models provide for a characteristic first-order optical response distinct from those of the other known topological superconductors. We find that the spectral distribution of the optical conductivity universally admits a topological jump originating from the Euler class in the presence of $d$-wave superconducting pairings, and naturally differs from the features induced by the quantum geometry in the noninteracting bands without pairing terms. Further to uncovering observable signatures in first-order optical conductivities, we showcase that the higher-order optical responses of the non-Abelian Euler superconductor can result in enhanced nonlinear currents that fingerprint the exotic topological invariant. Finally, by employing a diagrammatic approach, we generalize our findings beyond the specific models of Euler superconductors.
title Optical signatures of Euler superconductors
topic Superconductivity
Mesoscale and Nanoscale Physics
Optics
url https://arxiv.org/abs/2501.00960