How pairing mechanism dictates topology in valley-polarized superconductors with Berry curvature

Fuente: arXiv
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Autori principali: May-Mann, Julian, Helbig, Tobias, Devakul, Trithep
Natura: Preprint
Pubblicazione: 2025
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author May-Mann, Julian
Helbig, Tobias
Devakul, Trithep
author_facet May-Mann, Julian
Helbig, Tobias
Devakul, Trithep
contents We investigate how the pairing mechanism influences topological superconductivity in valley-polarized systems with Berry curvature. We demonstrate that short-range attractive interactions, such as those mediated by phonons, favor superconducting states where the Bogoliubov-de Gennes (BdG) Chern number has the same sign as the Berry curvature. In contrast, overscreened repulsive interactions, as in the Kohn-Luttinger mechanism, favor superconducting states where the BdG Chern number has the opposite sign as the Berry curvature. We establish these trends in a fully controlled limit and apply them to a recently reported chiral superconductor in rhombohedral multilayer graphene. Our theory provides a concrete experimental criterion for distinguishing between different pairing mechanisms in valley-polarized topological superconductors.
format Preprint
id arxiv_https___arxiv_org_abs_2503_05697
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle How pairing mechanism dictates topology in valley-polarized superconductors with Berry curvature
May-Mann, Julian
Helbig, Tobias
Devakul, Trithep
Superconductivity
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
We investigate how the pairing mechanism influences topological superconductivity in valley-polarized systems with Berry curvature. We demonstrate that short-range attractive interactions, such as those mediated by phonons, favor superconducting states where the Bogoliubov-de Gennes (BdG) Chern number has the same sign as the Berry curvature. In contrast, overscreened repulsive interactions, as in the Kohn-Luttinger mechanism, favor superconducting states where the BdG Chern number has the opposite sign as the Berry curvature. We establish these trends in a fully controlled limit and apply them to a recently reported chiral superconductor in rhombohedral multilayer graphene. Our theory provides a concrete experimental criterion for distinguishing between different pairing mechanisms in valley-polarized topological superconductors.
title How pairing mechanism dictates topology in valley-polarized superconductors with Berry curvature
topic Superconductivity
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2503.05697