Multipole Corner States and Edge States of the Orbital Kagome

doi:10.13438/j.cnki.jdzk.2025.05.008

Abstract

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

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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