# Non-Abelian braiding of phonons in layered silicates

@inproceedings{Peng2021NonAbelianBO, title={Non-Abelian braiding of phonons in layered silicates}, author={Bo Peng and Adrien Bouhon and B. Monserrat and Robert-Jan Slager}, year={2021} }

Topological phases of matter have revolutionized the fundamental understanding of band theory and hold great promise for next-generation technologies such as low-power electronics or quantum computers. Single-gap topologies have been extensively explored, and a large number of materials have been theoretically proposed and experimentally observed. These ideas have recently been extended to multi-gap topologies, characterized by invariants that arise by the momentum space braiding of band nodes… Expand

#### 4 Citations

Four-band non-Abelian topological insulator and its experimental realization

- Physics
- 2021

Very recently, increasing attention has been focused on non-Abelian topological charges, e.g. the quaternion group Q8. Different from Abelian topological band insulators, these systems involve… Expand

Manipulation and braiding of Weyl nodes using symmetry-constrained phase transitions

- Physics
- 2021

Weyl semimetals are arguably the most paradigmatic form of a gapless topological phase. While the stability of Weyl nodes, as quantified by their topological charge, has been extensively… Expand

Topological continuum charges of acoustic phonons in 2D

- Physics
- 2021

Gunnar F. Lange, ∗ Adrien Bouhon, 3, † Bartomeu Monserrat, 4, ‡ and Robert-Jan Slager § TCM Group, Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge CB3 0HE, United… Expand

Experimental observation of non-Abelian earring nodal links in phononic crystals

- Physics
- 2021

1 Department of Physics, The Hong Kong University of Science and Technology, Hong Kong, China 2 Key Laboratory of Artificial Microand Nanostructures of Ministry of Education and School of Physics and… Expand

#### References

SHOWING 1-10 OF 117 REFERENCES

Symmetry-Protected Ideal Type-II Weyl Phonons in CdTe.

- Physics, Medicine
- Physical review letters
- 2019

It is shown by first-principles calculations and symmetry analysis that ideal type-II Weyl phonons are present in zinc-blende cadmium telluride, a well-known II-VI semiconductor, exhibiting the robustness of protected phonon features. Expand

Observation of Double Weyl Phonons in Parity-Breaking FeSi.

- Physics, Medicine
- Physical review letters
- 2018

The first observation of double Weyl points in FeSi is made, which will be an ideal material to explore emerging bosonic excitations and its topologically nontrivial properties. Expand

Topological quantum chemistry

- Medicine, Physics
- Nature
- 2017

A complete electronic band theory is proposed, which builds on the conventional band theory of electrons, highlighting the link between the topology and local chemical bonding and can be used to predict many more topological insulators. Expand

The translational side of topological band insulators

- Physics
- 2019

Abstract Spin-orbit coupled materials have attracted revived prominent research interest as of late, especially due their connection with topological materials. A hallmark of this pursuit is arguably… Expand

Model for topological phononics and phonon diode

- Physics
- 2017

The quantum anomalous Hall effect, an exotic topological state first theoretically predicted by Haldane and recently experimentally observed, has attracted enormous interest for low-power-consumption… Expand

Phononic Helical Nodal Lines with PT Protection in MoB_{2}.

- Physics, Medicine
- Physical review letters
- 2019

This study establishes a protocol to accurately identify topological Bosonic excitations, opening a new route to explore exotic topological states in crystalline materials. Expand

Classification of topological quantum matter with symmetries

- Physics
- 2016

Topological materials have become the focus of intense research in recent years, since they exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum… Expand

Dirac fermions and flat bands in the ideal kagome metal FeSn

- Physics, Materials Science
- Nature Materials
- 2019

It is demonstrated that the bulk Dirac bands arise from in-plane localized Fe-3 d orbitals, and evidence that the coexisting Dirac surface state realizes a rare example of fully spin-polarized two-dimensional Dirac fermions due to spin-layer locking in FeSn is identified. Expand

Experimental observation of non-Abelian topological charges and bulk-edge correspondence

- Physics
- 2020

In the past decades, topological concepts have emerged to classify matter states beyond the Ginzburg-Landau symmetry breaking paradigm. The underlying global invariants are usually characterized by… Expand

Topological phonons in oxide perovskites controlled by light

- Materials Science, Physics
- Science Advances
- 2020

It is found that the photoexcited carrier concentration can be used to tune the topological phonon states and induce topological transitions even without associated structural phase changes. Expand