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Main Authors: Hsu, Tzu-Ching, You, Jhih-Shih, Hsu, Hsiu-Chuan, Fulga, Ion Cosma
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.24141
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author Hsu, Tzu-Ching
You, Jhih-Shih
Hsu, Hsiu-Chuan
Fulga, Ion Cosma
author_facet Hsu, Tzu-Ching
You, Jhih-Shih
Hsu, Hsiu-Chuan
Fulga, Ion Cosma
contents Chirality induced by rolling a two-dimensional material into a spiral geometry reshapes its electronic band structure. In this work, we theoretically investigate the topological properties of carbon nanoscrolls under an axial magnetic field, focusing on structures in which chirality is encoded through shifted edge alignments. In contrast to unshifted structures, where mirror symmetry pins the Dirac cones to half a flux quantum, chiral carbon nanoscrolls lack this symmetry, and Dirac cones emerge at magnetic flux values away from half a flux quantum. We demonstrate that these Dirac cones are topologically protected by combined inversion-time reversal symmetry and remain robust even when sublattice symmetry is broken. Furthermore, we show that the number of Dirac cones and their real-space probability distributions depend on the number of turns and the magnetic field strength. Our study elucidates the role of chirality in the band topology of nanoscroll geometries.
format Preprint
id arxiv_https___arxiv_org_abs_2602_24141
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dirac semimetal phases in chiral carbon nanoscrolls
Hsu, Tzu-Ching
You, Jhih-Shih
Hsu, Hsiu-Chuan
Fulga, Ion Cosma
Materials Science
Chirality induced by rolling a two-dimensional material into a spiral geometry reshapes its electronic band structure. In this work, we theoretically investigate the topological properties of carbon nanoscrolls under an axial magnetic field, focusing on structures in which chirality is encoded through shifted edge alignments. In contrast to unshifted structures, where mirror symmetry pins the Dirac cones to half a flux quantum, chiral carbon nanoscrolls lack this symmetry, and Dirac cones emerge at magnetic flux values away from half a flux quantum. We demonstrate that these Dirac cones are topologically protected by combined inversion-time reversal symmetry and remain robust even when sublattice symmetry is broken. Furthermore, we show that the number of Dirac cones and their real-space probability distributions depend on the number of turns and the magnetic field strength. Our study elucidates the role of chirality in the band topology of nanoscroll geometries.
title Dirac semimetal phases in chiral carbon nanoscrolls
topic Materials Science
url https://arxiv.org/abs/2602.24141