Second-order topology in two-dimensional azulenoid kekulene carbon lattices

Fuente: arXiv
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Autori principali: Zou, Xiaorong, Shin, Hyeon Suk, Kang, Chang-Jong, Huang, Baibiao, Zang, Yanmei, Dai, Ying, Niu, Chengwang, Myung, Chang Woo
Natura: Preprint
Pubblicazione: 2026
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author Zou, Xiaorong
Shin, Hyeon Suk
Kang, Chang-Jong
Huang, Baibiao
Zang, Yanmei
Dai, Ying
Niu, Chengwang
Myung, Chang Woo
author_facet Zou, Xiaorong
Shin, Hyeon Suk
Kang, Chang-Jong
Huang, Baibiao
Zang, Yanmei
Dai, Ying
Niu, Chengwang
Myung, Chang Woo
contents The discovery of higher-order topological insulator (HOTI) has established a new paradigm for understanding symmetry-constrained boundary electronic states. Here, based on first-principles calculations, we demonstrate the emergence of HOTI phase in organic lattices of two-dimensional azulenoid-kekulene-type carbon allotropes, namely AKC-[3,3] and AKC-[6,0]. Enabled by the $C_6$ rotational symmetry, the nontrivial bulk topology is confirmed through the topological invariant and fractionally quantized corner charge, giving $\{[M^{(I)}_{2}],[K^{(3)}_{2}]\}$ = $\{0,2\}$ and $Q_{\mathrm{corner}} = e/3$, respectively, accompanied by the emergence of exotic corner states in nanoflakes. Notably, the structural modifications are explored, revealing that in the derived structure PAK-[6,0], whose corner-localized states are preserved, highlighting the robustness of the higher-order topological phase. These findings highlight azulenoid-kekulene-based carbon allotropes as a promising platform to explore the interplay between structural design, crystalline symmetry, and higher-order topological boundary responses in two dimensional carbon systems.
format Preprint
id arxiv_https___arxiv_org_abs_2604_20399
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Second-order topology in two-dimensional azulenoid kekulene carbon lattices
Zou, Xiaorong
Shin, Hyeon Suk
Kang, Chang-Jong
Huang, Baibiao
Zang, Yanmei
Dai, Ying
Niu, Chengwang
Myung, Chang Woo
Materials Science
Computational Physics
The discovery of higher-order topological insulator (HOTI) has established a new paradigm for understanding symmetry-constrained boundary electronic states. Here, based on first-principles calculations, we demonstrate the emergence of HOTI phase in organic lattices of two-dimensional azulenoid-kekulene-type carbon allotropes, namely AKC-[3,3] and AKC-[6,0]. Enabled by the $C_6$ rotational symmetry, the nontrivial bulk topology is confirmed through the topological invariant and fractionally quantized corner charge, giving $\{[M^{(I)}_{2}],[K^{(3)}_{2}]\}$ = $\{0,2\}$ and $Q_{\mathrm{corner}} = e/3$, respectively, accompanied by the emergence of exotic corner states in nanoflakes. Notably, the structural modifications are explored, revealing that in the derived structure PAK-[6,0], whose corner-localized states are preserved, highlighting the robustness of the higher-order topological phase. These findings highlight azulenoid-kekulene-based carbon allotropes as a promising platform to explore the interplay between structural design, crystalline symmetry, and higher-order topological boundary responses in two dimensional carbon systems.
title Second-order topology in two-dimensional azulenoid kekulene carbon lattices
topic Materials Science
Computational Physics
url https://arxiv.org/abs/2604.20399