Topological Filtering and Emergent Kondo Scale

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Hauptverfasser: Yoshii, Ryosuke, Oto, Rio
Format: Preprint
Veröffentlicht: 2026
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author Yoshii, Ryosuke
Oto, Rio
author_facet Yoshii, Ryosuke
Oto, Rio
contents We study the Kondo effect induced by a topological soliton in a one-dimensional Dirac system with the sign-changing mass term. The soliton hosts a localized zero mode whose spatially extended wavefunction leads to a momentum-dependent exchange coupling with itinerant electrons. We show that this structure generates a nontrivial form factor that suppresses high-energy scattering processes, resulting in an energy-dependent effective Kondo coupling. As a consequence, the real-space structure of the soliton directly controls the emergent Kondo scale. This work establishes a mechanism by which topological defects control many-body energy scales through their wavefunction structure, suggesting a general principle for engineering many-body energy scales via topology.
format Preprint
id arxiv_https___arxiv_org_abs_2603_23403
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Topological Filtering and Emergent Kondo Scale
Yoshii, Ryosuke
Oto, Rio
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
We study the Kondo effect induced by a topological soliton in a one-dimensional Dirac system with the sign-changing mass term. The soliton hosts a localized zero mode whose spatially extended wavefunction leads to a momentum-dependent exchange coupling with itinerant electrons. We show that this structure generates a nontrivial form factor that suppresses high-energy scattering processes, resulting in an energy-dependent effective Kondo coupling. As a consequence, the real-space structure of the soliton directly controls the emergent Kondo scale. This work establishes a mechanism by which topological defects control many-body energy scales through their wavefunction structure, suggesting a general principle for engineering many-body energy scales via topology.
title Topological Filtering and Emergent Kondo Scale
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2603.23403