Higher-order topological phases in bilayer phononic crystals and topological bound states in the continuum

Fuente: arXiv
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Autori principali: Liu, Xiao-Yu, Liu, Yang, Xiong, Zhan, Wang, Hai-Xiao, Jiang, Jian-Hua
Natura: Preprint
Pubblicazione: 2024
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author Liu, Xiao-Yu
Liu, Yang
Xiong, Zhan
Wang, Hai-Xiao
Jiang, Jian-Hua
author_facet Liu, Xiao-Yu
Liu, Yang
Xiong, Zhan
Wang, Hai-Xiao
Jiang, Jian-Hua
contents Recent studies on the interplay between band topology and layer degree of freedom provide an effective way to realize exotic topological phases. Here we systematically study the $C_6$- and $C_3$-symmetric higher-order topological phases in bilayer spinless tight-binding lattice models. For concreteness, we consider bilayer phononic crystals as the realizations of these models. We find that for mirror-symmetric-stacking bilayer lattices, the interlayer couplings control the emergence and disappearance of the topological bound states in the continuum where we consider the corner states as possible bound states in the bulk continuum. For the bilayer phononic crystals formed by two different lattices with identical symmetry, the band topology is determined by both the band topology of each layer as well as their mutual couplings. The bilayer phononic crystals experience a phase transition from nontrivial to trivial band topology when the interlayer couplings are gradually increased. Our work unveils the rich physics and topological phases emerging in bilayer lattice systems that can be used to engineer interesting phenomena and induce emergent topological phases.
format Preprint
id arxiv_https___arxiv_org_abs_2401_08072
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Higher-order topological phases in bilayer phononic crystals and topological bound states in the continuum
Liu, Xiao-Yu
Liu, Yang
Xiong, Zhan
Wang, Hai-Xiao
Jiang, Jian-Hua
Mesoscale and Nanoscale Physics
Recent studies on the interplay between band topology and layer degree of freedom provide an effective way to realize exotic topological phases. Here we systematically study the $C_6$- and $C_3$-symmetric higher-order topological phases in bilayer spinless tight-binding lattice models. For concreteness, we consider bilayer phononic crystals as the realizations of these models. We find that for mirror-symmetric-stacking bilayer lattices, the interlayer couplings control the emergence and disappearance of the topological bound states in the continuum where we consider the corner states as possible bound states in the bulk continuum. For the bilayer phononic crystals formed by two different lattices with identical symmetry, the band topology is determined by both the band topology of each layer as well as their mutual couplings. The bilayer phononic crystals experience a phase transition from nontrivial to trivial band topology when the interlayer couplings are gradually increased. Our work unveils the rich physics and topological phases emerging in bilayer lattice systems that can be used to engineer interesting phenomena and induce emergent topological phases.
title Higher-order topological phases in bilayer phononic crystals and topological bound states in the continuum
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2401.08072