Backscattering in topological edge states despite time-reversal symmetry

Spin-momentum-locked edge states of quantum spin Hall insulators provide a compelling platform for spintronic applications, owing to their intrinsic protection against backscattering from non-magnetic disorder. This protection emerges from time-reversal symmetry, which pairs Kramers partners of helical edge modes with opposite spin and momentum, thereby strictly forbidding elastic single-particle backscattering within the pair. Yet, contrary to the idealized notion of linear edge bands, the non-monotonic dispersions of realistic materials can host multiple Kramers pairs, reintroducing backscattering channels between them without violating time-reversal symmetry. Here, we investigate inter-Kramers pair backscattering in the non-linear edge bands of the quantum spin Hall insulator indenene, highlighting a critical aspect of edge state stability. Using quasiparticle interference in scanning tunneling spectroscopy - a direct probe of backscattering - we observe intra-band coupling between different Kramers pairs, while energy regions with only a single Kramers pair remain strictly protected. Supported by theoretical analysis, our findings provide an unprecedented experimental demonstration of edge state backscattering fully consistent with their underlying topological protection. This insight has profound implications for numerous quantum spin Hall insulator candidates, emphasizing that the mere presence of gap-traversing edge modes does not inherently guarantee their protection against backscattering.

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Institutions

Publication Details

Journal
Nature Communications
Published
2025-09-02
DOI
https://doi.org/10.1038/s41467-025-63572-2
Citations
2
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
2.49

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article

Backscattering in topological edge states despite time-reversal symmetry

Jonas Erhardt, Giorgio Sangiovanni, Domenico Di Sante, Ewelina M. Hankiewicz et al.
2 citations
Nature Communications
Topological Materials and Phenomena
2.49
article

Backscattering in topological edge states despite time-reversal symmetry

Jonas Erhardt, Giorgio Sangiovanni, Domenico Di Sante, Ewelina M. Hankiewicz, R. Claessen, Björn Trauzettel, Simon Moser, G. Profeta, Mattia Iannetti, Fernando Domínguez
article en
2 citations

Abstract

Spin-momentum-locked edge states of quantum spin Hall insulators provide a compelling platform for spintronic applications, owing to their intrinsic protection against backscattering from non-magnetic disorder. This protection emerges from time-reversal symmetry, which pairs Kramers partners of helical edge modes with opposite spin and momentum, thereby strictly forbidding elastic single-particle backscattering within the pair. Yet, contrary to the idealized notion of linear edge bands, the non-monotonic dispersions of realistic materials can host multiple Kramers pairs, reintroducing backscattering channels between them without violating time-reversal symmetry. Here, we investigate inter-Kramers pair backscattering in the non-linear edge bands of the quantum spin Hall insulator indenene, highlighting a critical aspect of edge state stability. Using quasiparticle interference in scanning tunneling spectroscopy - a direct probe of backscattering - we observe intra-band coupling between different Kramers pairs, while energy regions with only a single Kramers pair remain strictly protected. Supported by theoretical analysis, our findings provide an unprecedented experimental demonstration of edge state backscattering fully consistent with their underlying topological protection. This insight has profound implications for numerous quantum spin Hall insulator candidates, emphasizing that the mere presence of gap-traversing edge modes does not inherently guarantee their protection against backscattering.

Nature CommunicationsVol. 16(1)
University of Würzburg (DE), University of L'Aquila (IT), University of Bologna (IT)
European Commission, Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 10%
Topological Materials and Phenomena
2.49
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