In-Gap Edge and Domain-Wall States in Largely Perturbed Phononic Su–Schrieffer–Heeger Lattices

Topological states of matter have attracted significant attention due to their intrinsic wave-guiding and localization capabilities robust against disorders and defects in electronic, photonic, and phononic systems. Despite the above topological features that phononic crystals share with their elect...

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Main Authors: Amir Rajabpoor Alisepahi, Jihong Ma
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/14/1/102
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author Amir Rajabpoor Alisepahi
Jihong Ma
author_facet Amir Rajabpoor Alisepahi
Jihong Ma
author_sort Amir Rajabpoor Alisepahi
collection DOAJ
description Topological states of matter have attracted significant attention due to their intrinsic wave-guiding and localization capabilities robust against disorders and defects in electronic, photonic, and phononic systems. Despite the above topological features that phononic crystals share with their electronic and photonic counterparts, finite-frequency topological states in phononic crystals may not always survive. In this work, we discuss the survivability of topological states in Su–Schrieffer–Heeger models with both local and non-local interactions and larger symmetry perturbation. Although such a discussion is still about ideal mass-spring models, the insights from this study set the expectations for continuum phononic crystals, which can further instruct the application of phononic crystals for practical purposes.
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spelling doaj.art-321d05bdb80b49d1a323e0048bc542f32024-01-29T13:51:36ZengMDPI AGCrystals2073-43522024-01-0114110210.3390/cryst14010102In-Gap Edge and Domain-Wall States in Largely Perturbed Phononic Su–Schrieffer–Heeger LatticesAmir Rajabpoor Alisepahi0Jihong Ma1Department of Mechanical Engineering, University of Vermont, Burlington, VT 05405, USADepartment of Mechanical Engineering, University of Vermont, Burlington, VT 05405, USATopological states of matter have attracted significant attention due to their intrinsic wave-guiding and localization capabilities robust against disorders and defects in electronic, photonic, and phononic systems. Despite the above topological features that phononic crystals share with their electronic and photonic counterparts, finite-frequency topological states in phononic crystals may not always survive. In this work, we discuss the survivability of topological states in Su–Schrieffer–Heeger models with both local and non-local interactions and larger symmetry perturbation. Although such a discussion is still about ideal mass-spring models, the insights from this study set the expectations for continuum phononic crystals, which can further instruct the application of phononic crystals for practical purposes.https://www.mdpi.com/2073-4352/14/1/102topological statesphononic crystalschiral symmetryphonon bandgap
spellingShingle Amir Rajabpoor Alisepahi
Jihong Ma
In-Gap Edge and Domain-Wall States in Largely Perturbed Phononic Su–Schrieffer–Heeger Lattices
Crystals
topological states
phononic crystals
chiral symmetry
phonon bandgap
title In-Gap Edge and Domain-Wall States in Largely Perturbed Phononic Su–Schrieffer–Heeger Lattices
title_full In-Gap Edge and Domain-Wall States in Largely Perturbed Phononic Su–Schrieffer–Heeger Lattices
title_fullStr In-Gap Edge and Domain-Wall States in Largely Perturbed Phononic Su–Schrieffer–Heeger Lattices
title_full_unstemmed In-Gap Edge and Domain-Wall States in Largely Perturbed Phononic Su–Schrieffer–Heeger Lattices
title_short In-Gap Edge and Domain-Wall States in Largely Perturbed Phononic Su–Schrieffer–Heeger Lattices
title_sort in gap edge and domain wall states in largely perturbed phononic su schrieffer heeger lattices
topic topological states
phononic crystals
chiral symmetry
phonon bandgap
url https://www.mdpi.com/2073-4352/14/1/102
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