轨道Kagome声子晶体中的多极角态

doi:10.13438/j.cnki.jdzk.2025.05.008

吉首大学学报（自然科学版） ›› 2025, Vol. 46 ›› Issue (5): 53-58.DOI: 10.13438/j.cnki.jdzk.2025.05.008

轨道Kagome声子晶体中的多极角态

谢文杰，王小云，孔鹏，邓科

（1．吉首大学物理与机电工程学院，湖南吉首 416000；2．长沙理工大学物理与电子科学学院，湖南长沙 410114）

出版日期:2025-09-25 发布日期:2025-11-07
作者简介:谢文杰（1996—）,男,广东茂名人,吉首大学物理与机电工程学院硕士研究生,主要从事声学拓扑材料研究
基金资助:
湖南省自然科学基金资助项目（2025JJ60016）；湖南省教育厅优秀青年项目（24b0317）

Multipole Corner States and Edge States of the Orbital Kagome

XIE Wenjie,WANG Xiaoyun,KONG Peng,DENG Ke

(1.Department of Physics and Mechanical Engineering,Jishou University,Jishou 416000,Hunan China;2.School of Physics and Electronic Science,Changsha University of Science and Technology,Changsha 410114,China)

Online:2025-09-25 Published:2025-11-07

摘要/Abstract

摘要：为了在声子晶体中研究轨道拓扑态，通过在盘状声学腔之间用1对平行的耦合管连接，构建了一种支持p轨道的特殊轨道Kagome晶格，并探究了p轨道模式下的Kagome晶格的角态.结果表明，该晶格角态种类丰富，数量众多，分为Ⅰ型角态和Ⅱ型角态，角态数量为24；Ⅰ型角态是由最外端两原子间轨道相互作用而成，有4种类别（Ⅰ型σ对称角态、Ⅰ型σ反对称角态、Ⅰ型π对称角态和Ⅰ型π反对称角态），Ⅱ型角态是一种不依赖长程耦合的角态，也有4种类别（Ⅱ型σ对称角态、Ⅱ型σ反对称角态、Ⅱ型π对称角态和Ⅱ型π反对称角态）.

关键词： Kagome晶格, 拓扑绝缘体, 轨道, 角态

Abstract: To study the orbital topological states in phonon crystals,a special orbital Kagome lattice supporting p orbitals was constructed by connecting disc-shaped acoustic cavities with a pair of parallel coupling tubes,and the corner states of the Kagome lattice in the p orbital mode were explored.The results show that the lattice corner states are rich in both types and quantities,and are divided into type Ⅰ corner states and type Ⅱ corner states,with a total of 24.Type Ⅰ corner states are formed by the orbital interactions between the two outermost atoms.There are four types (Type Ⅰ σ -symmetric corner states,type Ⅰ σ-antisymmetric corner states,type Ⅰ π -symmetric corner states,and type Ⅰ π -antisymmetric corner states).Type Ⅱ corner states are corner states that do not rely on long-range coupling.There are also four types,including type Ⅱ σ symmetric corner state,type Ⅱ σ antisymmetric corner state,Type Ⅱ π symmetric corner state and Type Ⅱ π antisymmetric corner state.

Key words: Kagome lattice, topological insulator, orbit, corner state

谢文杰, 王小云, 孔鹏, 邓科. 轨道Kagome声子晶体中的多极角态[J]. 吉首大学学报（自然科学版）, 2025, 46(5): 53-58.

XIE Wenjie, WANG Xiaoyun, KONG Peng, DENG Ke. Multipole Corner States and Edge States of the Orbital Kagome[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 53-58.

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轨道Kagome声子晶体中的多极角态

Multipole Corner States and Edge States of the Orbital Kagome

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