Classification of reflection-symmetry-protected topological semimetals and nodal superconductors

CK Chiu, AP Schnyder - Physical Review B, 2014 - APS
While the topological classification of insulators, semimetals, and superconductors in terms
of nonspatial symmetries is well understood, less is known about topological states …

Topological band crossings in hexagonal materials

J Zhang, YH Chan, CK Chiu, MG Vergniory… - Physical Review …, 2018 - APS
Topological semimetals exhibit band crossings near the Fermi energy, which are protected
by the nontrivial topological character of the wave functions. In many cases, these …

Topological semimetals protected by off-centered symmetries in nonsymmorphic crystals

BJ Yang, TA Bojesen, T Morimoto, A Furusaki - Physical Review B, 2017 - APS
Topological semimetals have energy bands near the Fermi energy sticking together at
isolated points/lines/planes in the momentum space, which are often accompanied by stable …

Unified understanding of symmetry indicators for all internal symmetry classes

S Ono, H Watanabe - Physical Review B, 2018 - APS
The interplay between symmetry and topology in electronic band structures has been one of
the central subjects in condensed-matter physics. Recently, it has been getting clear that a …

Higher-order topological superconductivity of spin-polarized fermions

J Ahn, BJ Yang - Physical Review Research, 2020 - APS
We study the superconductivity of spin-polarized electrons in centrosymmetric ferromagnetic
metals. Due to the spin polarization and the Fermi statistics of electrons, the …

-enriched symmetry indicators for topological superconductors in the 1651 magnetic space groups

S Ono, HC Po, K Shiozaki - Physical Review Research, 2021 - APS
While the symmetry-based diagnosis of topological insulators and semimetals has enabled
large-scale discovery of topological materials candidates, the extension of these …

Topological crystalline semimetals in nonsymmorphic lattices

Y Chen, HS Kim, HY Kee - Physical Review B, 2016 - APS
Numerous efforts have been devoted to reveal exotic semimetallic phases with topologically
nontrivial bulk and/or surface states in materials with strong spin-orbit coupling. In particular …

Nonsymmorphic symmetry-required band crossings in topological semimetals

YX Zhao, AP Schnyder - Physical Review B, 2016 - APS
We show that for two-band systems nonsymmorphic symmetries may enforce the existence
of band crossings in the bulk, which realize Fermi surfaces of reduced dimensionality. We …

Weak antilocalization effect and noncentrosymmetric superconductivity in a topologically nontrivial semimetal LuPdBi

G Xu, W Wang, X Zhang, Y Du, E Liu, S Wang, G Wu… - Scientific reports, 2014 - nature.com
A large number of half-Heusler compounds have been recently proposed as three-
dimensional (3D) topological insulators (TIs) with tunable physical properties. However, no …

Classification of topological insulators and superconductors in the presence of reflection symmetry

CK Chiu, H Yao, S Ryu - Physical Review B—Condensed Matter and Materials …, 2013 - APS
We discuss a topological classification of insulators and superconductors in the presence of
both (nonspatial) discrete symmetries in the Altland-Zirnbauer classification and spatial …