Two-Dimensional Higher-Order Topological Metals

Fuente: arXiv
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Autores principales: Liu, Lizhou, Miao, Cheng-Ming, Sun, Qing-Feng, Zhang, Ying-Tao
Formato: Preprint
Publicado: 2025
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author Liu, Lizhou
Miao, Cheng-Ming
Sun, Qing-Feng
Zhang, Ying-Tao
author_facet Liu, Lizhou
Miao, Cheng-Ming
Sun, Qing-Feng
Zhang, Ying-Tao
contents We investigate the energy band structure and energy levels of graphene with staggered intrinsic spin-orbit coupling and in-plane Zeeman fields. Our study demonstrates that staggered intrinsic spin-orbit coupling induces bulk band crossover at the the \( K \) and \( K' \) valleys and generates antihelical edge states at the zigzag boundaries, resulting in topological metallic phases. Quantized transport coefficients confirm the existence of these antihelical edge states. Furthermore, an in-plane Zeeman field, regardless of orientation, opens a gap in the antihelical edge states while preserving bulk band closure, leading to higher-order topological metals with corner states. We also validate the presence of these corner states in nanoflakes with zigzag boundaries and confirm the metallic phases with crossed bands through a continuum low-energy model analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03944
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two-Dimensional Higher-Order Topological Metals
Liu, Lizhou
Miao, Cheng-Ming
Sun, Qing-Feng
Zhang, Ying-Tao
Mesoscale and Nanoscale Physics
We investigate the energy band structure and energy levels of graphene with staggered intrinsic spin-orbit coupling and in-plane Zeeman fields. Our study demonstrates that staggered intrinsic spin-orbit coupling induces bulk band crossover at the the \( K \) and \( K' \) valleys and generates antihelical edge states at the zigzag boundaries, resulting in topological metallic phases. Quantized transport coefficients confirm the existence of these antihelical edge states. Furthermore, an in-plane Zeeman field, regardless of orientation, opens a gap in the antihelical edge states while preserving bulk band closure, leading to higher-order topological metals with corner states. We also validate the presence of these corner states in nanoflakes with zigzag boundaries and confirm the metallic phases with crossed bands through a continuum low-energy model analysis.
title Two-Dimensional Higher-Order Topological Metals
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2509.03944