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Autores principales: Miles, Sebastian, Bozkurt, A. Mert, Varjas, Dániel, Wimmer, Michael
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2511.11809
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author Miles, Sebastian
Bozkurt, A. Mert
Varjas, Dániel
Wimmer, Michael
author_facet Miles, Sebastian
Bozkurt, A. Mert
Varjas, Dániel
Wimmer, Michael
contents We theoretically explore the electronic structure of holes in cylindrical Germanium/Silicon core/shell nanowires using a perturbation theory approach. The approach yields a set of interpretable and transferable effective low-energy models for the lowest few sub-bands up to fifth order for experimentally relevant growth directions. In particular, we are able to resolve higher order cross terms e.g., the dependency of the effective mass on the magnetic field. Our study reveals orbital inversions of the lowest sub-bands for low-symmetry growth directions, leading to significant changes of the lower order effective coefficients. We demonstrate a reduction of the direct Rashba spin-orbit interaction due to competing symmetry effects for low-symmetry growth directions. Finally, we find that the effective mass of the confined holes can diverge yielding quasi flat bands interesting for correlated states. We show how one can tune the effective mass of a single spin band allowing one to tune the effective mass selectively to its divergent points.
format Preprint
id arxiv_https___arxiv_org_abs_2511_11809
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Effective Hamiltonians for Ge/Si core/shell nanowires from higher order perturbation theory
Miles, Sebastian
Bozkurt, A. Mert
Varjas, Dániel
Wimmer, Michael
Mesoscale and Nanoscale Physics
We theoretically explore the electronic structure of holes in cylindrical Germanium/Silicon core/shell nanowires using a perturbation theory approach. The approach yields a set of interpretable and transferable effective low-energy models for the lowest few sub-bands up to fifth order for experimentally relevant growth directions. In particular, we are able to resolve higher order cross terms e.g., the dependency of the effective mass on the magnetic field. Our study reveals orbital inversions of the lowest sub-bands for low-symmetry growth directions, leading to significant changes of the lower order effective coefficients. We demonstrate a reduction of the direct Rashba spin-orbit interaction due to competing symmetry effects for low-symmetry growth directions. Finally, we find that the effective mass of the confined holes can diverge yielding quasi flat bands interesting for correlated states. We show how one can tune the effective mass of a single spin band allowing one to tune the effective mass selectively to its divergent points.
title Effective Hamiltonians for Ge/Si core/shell nanowires from higher order perturbation theory
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2511.11809