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Topological phononic metamaterials
The concept of topological energy bands and their manifestations have been demonstrated
in condensed matter systems as a fantastic paradigm toward unprecedented physical …
in condensed matter systems as a fantastic paradigm toward unprecedented physical …
Non-Abelian physics in light and sound
Non-Abelian phenomena arise when the sequence of operations on physical systems
influences their behaviors. By possessing internal degrees of freedom such as polarization …
influences their behaviors. By possessing internal degrees of freedom such as polarization …
Real topological phonons in 3D carbon allotropes
There has been a significant focus on real topological systems that enjoy space‐time
inversion symmetry and lack spin‐orbit coupling. While the theoretical classification of the …
inversion symmetry and lack spin‐orbit coupling. While the theoretical classification of the …
Non-Abelian frame charge flow in photonic media
In PT-symmetric systems, the notion of non-Abelian frame charges enables multiband
topological characterization of degeneracies by examining the eigenvector-frame rotations …
topological characterization of degeneracies by examining the eigenvector-frame rotations …
Ubiquitous topological states of phonons in solids: Silicon as a model material
Research on topological physics of phonons has attracted enormous interest but demands
appropriate model materials. Our ab initio calculations identify silicon as an ideal candidate …
appropriate model materials. Our ab initio calculations identify silicon as an ideal candidate …
Four-band non-Abelian topological insulator and its experimental realization
Very recently, increasing attention has been focused on non-Abelian topological charges,
eg, the quaternion group Q8. Different from Abelian topological band insulators, these …
eg, the quaternion group Q8. Different from Abelian topological band insulators, these …
Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery
We identify all symmetry-enforced band crossings in nonmagnetic orthorhombic crystals with
and without spin-orbit coupling and discuss their topological properties. We find that …
and without spin-orbit coupling and discuss their topological properties. We find that …
Observation of non-Abelian charged nodes linking nonadjacent gaps
Nodal links are special configurations of band degeneracies in the momentum space, where
nodal line branches encircle each other. In PT symmetric systems, nodal lines can be …
nodal line branches encircle each other. In PT symmetric systems, nodal lines can be …
Exact universal characterization of chiral-symmetric higher-order topological phases
Utilizing a series of Bott indices formulated through polynomials of position operators, we
establish a comprehensive framework for characterizing topological zero-energy corner …
establish a comprehensive framework for characterizing topological zero-energy corner …
Bulk-edge correspondence of Stiefel-Whitney and Euler insulators through the entanglement spectrum and cutting procedure
We propose an unconventional bulk-edge correspondence for two-dimensional Stiefel-
Whitney insulators and Euler insulators, which are topological insulators protected by the PT …
Whitney insulators and Euler insulators, which are topological insulators protected by the PT …