Phononic topological states in 1D quasicrystals

Silva, J R M; Vasconcelos, M.S.; Anselmo, D.H.A.L.; Mello, V.D.

doi:10.1088/1361-648x/ab312a

Cited by 17 publications

(10 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Liu et al [20,21] developed systematic topological phonon theory by adopting physics in electron topological band theory, and proposed possible lattice models with nontrivial topological phonon states (TPSs) as well as effective Hamiltonian models. Similar with Su-Schrieffer-Heeger (SSH) model for electronic system, simple phonon topological models are studied in low-dimensional crystal, quasicrystal and amorphous systems [30][31][32][33]. Though there are many differences between…”

Section: I． Introductionmentioning

confidence: 99%

Topological effects of phonons in GaN and AlGaN: A potential perspective for tuning phonon transport

Tang¹,

Cao

2021

Journal of Applied Physics

View full text Add to dashboard Cite

Tuning thermal transport in semiconductor nanostructures is of great significance for thermal management in power electronics. With excellent transport properties such as ballistic transport immune to point defects and backscattering forbidden, topological phonon surface states show remarkable potential in addressing this issue. Herein, topological phonon analyses are performed on hexagonal wurtzite GaN, as well as other nitrides of the same family, i.e. AlN, and AlGaN alloy in perspective of topological phonon phase transition. With the aid of first principle calculations and topological phonon theory, Weyl phonon states, which host surfaces states without backscattering are investigated for all these materials. The results show that there is no nontrivial topological phonon state in GaN. However, by introducing Al atoms, i.e. in wurtzite type AlN and AlGaN, more than one Weyl phonon points are found, confirmed by obvious topological characteristics, including non-zero topological charges, source/sink in Berry curvature distributions, surface local density of states and open surface arcs. As AlN and AlGaN are typical materials in AlGaN/GaN heterostructure based power electronics, existence of topological phonon states in them will benefit thermal management by designing one-way interfacial phonon transport without backscattering.

show abstract

Section: I． Introductionmentioning

confidence: 99%

Topological effects of phonons in GaN and AlGaN: A potential perspective for tuning phonon transport

Tang¹,

Cao

2021

Journal of Applied Physics

View full text Add to dashboard Cite

show abstract

“…Exploring topological phases of matter in dimensions higher than what is physically accessible is another promising direction of research [455][456][457][458]. In particular, while here we restricted our discussion to two-dimensional and three-dimensional topological phases, there have been several recent reports on topological phases in four dimensions and above, based on the notion of synthetic dimensions [459][460][461][462][463][464][465][466][467][468][469][470][471][472][473]. Despite the fact that such states have not found specific engineering-oriented applications up to date, they have established an elegant experimental platform, stimulating the deep connection between condensed-matter and elementary particle physics.…”

Section: Discussionmentioning

confidence: 99%

Topological wave insulators: a review

Zangeneh-Nejad¹,

Alù²,

Fleury³

2020

Comptes Rendus. Physique

View full text Add to dashboard Cite

Originally discovered in condensed matter systems, topological insulators (TIs) have been ubiquitously extended to various fields of classical wave physics including photonics, phononics, acoustics, mechanics, and microwaves. In the bulk, like any other insulator, electronic TIs exhibit an excessively high resistance to the flow of mobile charges, prohibiting metallic conduction. On their surface, however, they support one-way conductive states with inherent protection against certain types of disorder and defects, defying the common physical wisdom of electronic transport in presence of impurities. When transposed to classical waves, TIs open a wealth of exciting engineering-oriented applications, such as robust routing, lasing, signal processing, switching, etc., with unprecedented robustness against various classes of defects. In this article, we first review the basic concept of topological order applied to classical waves, starting from the simple onedimensional example of the Su-Schrieffer-Heeger (SSH) model. We then move on to two-dimensional wave TIs, discussing classical wave analogues of Chern, quantum Hall, spin-Hall, Valley-Hall, and Floquet TIs. Finally, we review the most recent developments in the field, including Weyl and nodal semimetals, higherorder topological insulators, and self-induced non-linear topological states.

show abstract

“…The complexity and diversity of the arrangement endow more functions to quasiperiodic structures. [ 4–6 ] Quasiperiodic structures possess significant physical properties such as topological properties, [ 7 ] self‐similarity, [ 8 ] parity‐time symmetry, [ 9 ] delocalization and scaling properties, [ 10 ] unidirectional invisibility, [ 11 ] isotropic properties of the bandgaps, [ 12 ] and the coexistence of extended, localized, and intermediate states. [ 13 ] Moreover, these properties have been used to develop the following function devices: quasicrystal lens, [ 14 ] distributed feedback lasers, [ 15 ] and fiber gratings.…”

Section: Introductionmentioning

confidence: 99%

Interface States in the Acoustic Quasiperiodic System Based on Non‐Bragg Resonances

Liu

Peng

Zhang

et al. 2021

Physica Status Solidi (b)

View full text Add to dashboard Cite

Bragg resonances have been observed in traditional quasiperiodic waveguides for years. To enhance Bragg resonances and form Bragg gaps with high attenuation, a large number of units have been included. Here, a Fibonacci quasiperiodic acoustic waveguide based on an intense resonance mechanism is proposed to realize non‐Bragg resonances. In a waveguide with fewer units, non‐Bragg resonances can still be excited and create the related non‐Bragg gaps with high attenuation beyond the Bragg ones. Furthermore, an interface state arising in non‐Bragg gaps is experimentally observed by fabricating the mirror‐symmetry structure of Fibonacci quasi‐periodic waveguides. The field distribution of interface states exhibits a significant feature of sound energy, which is localized at a quarter wavelength from the interface of the mirror structures on both sides. Unlike the interface state in Bragg gaps (the localized sound energy distributes along the longitudinal direction), the interface state in non‐Bragg gaps displays localization along the longitudinal and radial directions, and the field distribution is like a dipole, which can be used to optimize traditional quasiperiodic waveguide structures and pave the way for various functional devices, which include multimode filters, sensors, couplers, and so on.

show abstract

Phononic topological states in 1D quasicrystals

Cited by 17 publications

References 60 publications

Topological effects of phonons in GaN and AlGaN: A potential perspective for tuning phonon transport

Topological effects of phonons in GaN and AlGaN: A potential perspective for tuning phonon transport

Topological wave insulators: a review

Interface States in the Acoustic Quasiperiodic System Based on Non‐Bragg Resonances

Contact Info

Product

Resources

About