Topological metamaterials

X Ni, S Yves, A Krasnok, A Alu - Chemical Reviews, 2023 - ACS Publications
The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

[HTML][HTML] Nodal lines in momentum space: topological invariants and recent realizations in photonic and other systems

H Park, W Gao, X Zhang, SS Oh - Nanophotonics, 2022 - degruyter.com
Topological insulators constitute one of the most intriguing phenomena in modern
condensed matter theory. The unique and exotic properties of topological states of matter …

Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time-reversal symmetry

A Bouhon, AM Black-Schaffer, RJ Slager - Physical Review B, 2019 - APS
We present a general methodology toward the systematic characterization of crystalline
topological insulating phases with time-reversal symmetry. In particular, taking the two …

Non-Abelian reciprocal braiding of Weyl points and its manifestation in ZrTe

A Bouhon, QS Wu, RJ Slager, H Weng, OV Yazyev… - Nature Physics, 2020 - nature.com
Weyl semimetals in three-dimensional crystals provide the paradigm example of
topologically protected band nodes. It is usually taken for granted that a pair of colliding …

Non-Abelian band topology in noninteracting metals

QS Wu, AA Soluyanov, T Bzdušek - Science, 2019 - science.org
The topology of line nodes Band structure degeneracies in topological materials can take
the form of lines or even chains of interconnected loops. Wu et al. study theoretically these …

Geometric approach to fragile topology beyond symmetry indicators

A Bouhon, T Bzdušek, RJ Slager - Physical Review B, 2020 - APS
We present a framework to systematically address topological phases when finer
partitionings of bands are taken into account, rather than only considering the two …

Giant spin-splitting and tunable spin-momentum locked transport in room temperature collinear antiferromagnetic semimetallic CrO monolayer

X Chen, D Wang, L Li, B Sanyal - Applied Physics Letters, 2023 - pubs.aip.org
In this work, we present theoretical predictions of a two-dimensional collinear
antiferromagnetic semimetal, CrO, which exhibits a giant spin-split band structure, spin …

Non-Abelian braiding of Weyl nodes via symmetry-constrained phase transitions

S Chen, A Bouhon, RJ Slager, B Monserrat - Physical Review B, 2022 - APS
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 …

Braid-protected topological band structures with unpaired exceptional points

JLK König, K Yang, JC Budich, EJ Bergholtz - Physical Review Research, 2023 - APS
We demonstrate the existence of topologically stable unpaired exceptional points (EPs), and
construct simple non-Hermitian (NH) tight-binding models exemplifying such remarkable …

Non-Abelian topology of nodal-line rings in -symmetric systems

A Tiwari, T Bzdušek - Physical Review B, 2020 - APS
Nodal lines inside the momentum space of three-dimensional crystalline solids are
topologically stabilized by a π flux of Berry phase. Nodal-line rings in PT-symmetric systems …