Colloquium: Topological band theory

A Bansil, H Lin, T Das - Reviews of Modern Physics, 2016 - APS
The first-principles band theory paradigm has been a key player not only in the process of
discovering new classes of topologically interesting materials, but also for identifying salient …

Topological crystalline insulators and topological superconductors: From concepts to materials

Y Ando, L Fu - Annu. Rev. Condens. Matter Phys., 2015 - annualreviews.org
In this review, we discuss recent progress in the explorations of topological materials
beyond topological insulators; specifically, we focus on topological crystalline insulators and …

Higher-order topological insulators

F Schindler, AM Cook, MG Vergniory, Z Wang… - Science …, 2018 - science.org
Three-dimensional topological (crystalline) insulators are materials with an insulating bulk
but conducting surface states that are topologically protected by time-reversal (or spatial) …

Spin-filtered edge states with an electrically tunable gap in a two-dimensional topological crystalline insulator

J Liu, TH Hsieh, P Wei, W Duan, J Moodera, L Fu - Nature materials, 2014 - nature.com
Three-dimensional topological crystalline insulators were recently predicted and observed
in the SnTe class of IV–VI semiconductors, which host metallic surface states protected by …

Two types of surface states in topological crystalline insulators

J Liu, W Duan, L Fu - Physical Review B—Condensed Matter and Materials …, 2013 - APS
Topological crystalline insulators (TCIs) are new states of matter whose topological
distinction relies on the crystal symmetry of periodic solids. The first material realization of …

Large-Chern-number quantum anomalous Hall effect in thin-film topological crystalline insulators

C Fang, MJ Gilbert, BA Bernevig - Physical review letters, 2014 - APS
We theoretically predict that thin-film topological crystalline insulators can host various
quantum anomalous Hall phases when doped by ferromagnetically ordered dopants. Any …

Crystal field effect induced topological crystalline insulators in monolayer IV–VI semiconductors

J Liu, X Qian, L Fu - Nano letters, 2015 - ACS Publications
Two-dimensional (2D) topological crystalline insulators (TCIs) were recently predicted in thin
films of the SnTe class of IV–VI semiconductors, which can host metallic edge states …

Symmetry breaking and Landau quantization in topological crystalline insulators

M Serbyn, L Fu - Physical review B, 2014 - APS
In the recently discovered topological crystalline insulators SnTe and Pb 1− x Sn x (Te, Se),
crystal symmetry and electronic topology intertwine to create topological surface states with …

Prediction of two-dimensional topological crystalline insulator in PbSe monolayer

EO Wrasse, TM Schmidt - Nano letters, 2014 - ACS Publications
Two-dimensional (2D) topological crystalline insulator, a new class where states are
protected by lattice symmetry instead of by time-reversal symmetry, is predicted in PbSe …

Map** the unconventional orbital texture in topological crystalline insulators

I Zeljkovic, Y Okada, CY Huang, R Sankar, D Walkup… - Nature Physics, 2014 - nature.com
The newly discovered topological crystalline insulators feature a complex band structure
involving multiple Dirac cones,,,,,, and are potentially highly tunable by external electric field …