Interlayer Coupling Induced Topological Phase Transition to Higher Order

Fuente: arXiv
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Autori principali: Liu, Lizhou, An, Jiaqi, Ren, Yafei, Zhang, Yingtao, Qiao, Zhenhua, Niu, Qian
Natura: Preprint
Pubblicazione: 2024
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author Liu, Lizhou
An, Jiaqi
Ren, Yafei
Zhang, Yingtao
Qiao, Zhenhua
Niu, Qian
author_facet Liu, Lizhou
An, Jiaqi
Ren, Yafei
Zhang, Yingtao
Qiao, Zhenhua
Niu, Qian
contents We theoretically find that the second-order topological insulator, i.e., corner states, can be engineered by coupling two copies of two-dimensional $\mathbb{Z}_2$ topological insulators with opposite spin-helicities. As concrete examples, we utilize Kane-Mele models (i.e., graphene with intrinsic spin-orbit coupling) to realize the corner states by setting the respective graphenes to be $\mathbb{Z}_2$ topological insulators with opposite intrinsic spin-orbit couplings. To exhibit its universality, we generalize our findings to other representative $\mathbb{Z}_2$ topological insulators, e.g., the Bernevig-Hughes-Zhang model. An effective model is presented to reveal the physical origin of corner states. We further show that the corner states can also be designed in other topological systems, e.g., by coupling quantum anomalous Hall systems with opposite Chern numbers. Our work suggests that interlayer coupling can be treated as a simple and efficient strategy to drive lower-order topological insulators to the higher-order ones.
format Preprint
id arxiv_https___arxiv_org_abs_2405_11249
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Interlayer Coupling Induced Topological Phase Transition to Higher Order
Liu, Lizhou
An, Jiaqi
Ren, Yafei
Zhang, Yingtao
Qiao, Zhenhua
Niu, Qian
Mesoscale and Nanoscale Physics
We theoretically find that the second-order topological insulator, i.e., corner states, can be engineered by coupling two copies of two-dimensional $\mathbb{Z}_2$ topological insulators with opposite spin-helicities. As concrete examples, we utilize Kane-Mele models (i.e., graphene with intrinsic spin-orbit coupling) to realize the corner states by setting the respective graphenes to be $\mathbb{Z}_2$ topological insulators with opposite intrinsic spin-orbit couplings. To exhibit its universality, we generalize our findings to other representative $\mathbb{Z}_2$ topological insulators, e.g., the Bernevig-Hughes-Zhang model. An effective model is presented to reveal the physical origin of corner states. We further show that the corner states can also be designed in other topological systems, e.g., by coupling quantum anomalous Hall systems with opposite Chern numbers. Our work suggests that interlayer coupling can be treated as a simple and efficient strategy to drive lower-order topological insulators to the higher-order ones.
title Interlayer Coupling Induced Topological Phase Transition to Higher Order
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2405.11249