Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices

Fuente: arXiv
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Main Authors: Guo, Shenglong, Jiang, Qinhui, Kawaguchi, Yuma, Li, Bo, Li, Mengyao
Format: Preprint
Published: 2025
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author Guo, Shenglong
Jiang, Qinhui
Kawaguchi, Yuma
Li, Bo
Li, Mengyao
author_facet Guo, Shenglong
Jiang, Qinhui
Kawaguchi, Yuma
Li, Bo
Li, Mengyao
contents Topological phases and modes, including pseudospin-Hall-selective edge transport and corner states, provide robust control of wave propagation and modal confinement in classical wave platforms. Under a tight-binding framework, we theoretically investigate two lattice designs derived from the kagome lattice. These extended kagome lattices support a series of localized modes, including pseudospin-Hall-like topological edge states and corner modes in different bandgaps and frequencies, which were not only achieved under lower lattice symmetries than Wu-Hu lattices, but also enable more degrees of freedom in topological and localized modes. By introducing two types of extended kagome lattices with different topological properties, multiple interesting phenomena, including newly emerged multiple groups of corner states, parametric tunable pseudospin Hall effect, and type-II corner states without long-range interactions, are found in theoretical models, which are possible and viable to achieve in artificial classical systems such as photonic, acoustic, or electrical circuits.
format Preprint
id arxiv_https___arxiv_org_abs_2512_02762
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
Guo, Shenglong
Jiang, Qinhui
Kawaguchi, Yuma
Li, Bo
Li, Mengyao
Mesoscale and Nanoscale Physics
Other Condensed Matter
Optics
Topological phases and modes, including pseudospin-Hall-selective edge transport and corner states, provide robust control of wave propagation and modal confinement in classical wave platforms. Under a tight-binding framework, we theoretically investigate two lattice designs derived from the kagome lattice. These extended kagome lattices support a series of localized modes, including pseudospin-Hall-like topological edge states and corner modes in different bandgaps and frequencies, which were not only achieved under lower lattice symmetries than Wu-Hu lattices, but also enable more degrees of freedom in topological and localized modes. By introducing two types of extended kagome lattices with different topological properties, multiple interesting phenomena, including newly emerged multiple groups of corner states, parametric tunable pseudospin Hall effect, and type-II corner states without long-range interactions, are found in theoretical models, which are possible and viable to achieve in artificial classical systems such as photonic, acoustic, or electrical circuits.
title Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
topic Mesoscale and Nanoscale Physics
Other Condensed Matter
Optics
url https://arxiv.org/abs/2512.02762