Hybrid-order topology of weak topological insulators

@article{Kooi2020HybridorderTO,
title={Hybrid-order topology of weak topological insulators},
author={Sander H. Kooi and Guido van Miert and Carmine Ortix},
journal={Physical Review B},
year={2020},
volume={102},
pages={041122}
}
• Published 2 August 2019
• Physics
• Physical Review B
We consider weak topological insulators with a twofold rotation symmetry around the dark direction, and show that these systems can be endowed with the topological crystalline structure of a higher-order topological insulator protected by rotation symmetry. These hybrid-order weak topological insulators display surface Dirac cones on all surfaces. Translational symmetry breaking perturbations gap the Dirac cones on the side surfaces leaving anomalous helical hinge modes behind. We also prove…
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References

SHOWING 1-10 OF 71 REFERENCES
Topological crystalline insulators.
• L. Fu
• Physics, Medicine
Physical review letters
• 2011
A class of three-dimensional "topological crystalline insulators" which have metallic surface states with quadratic band degeneracy on high symmetry crystal surfaces is found.
Higher-order topological insulators protected by inversion and rotoinversion symmetries
• Physics
Physical Review B
• 2018
We provide the bulk topological invariant for chiral higher-order topological insulators in (i) fourfold rotoinversion invariant bulk crystals, and (ii) inversion-symmetric systems with or without an
Higher-order topological insulators
The notion of three-dimensional topological insulators is extended to systems that host no gapless surface states but exhibit topologically protected gapless hinge states and it is shown that SnTe as well as surface-modified Bi2TeI, BiSe, and BiTe are helical higher-order topology insulators.
New classes of topological crystalline insulators having surface rotation anomaly
• Medicine, Physics
• 2019
It is shown that these anomalous states are physically realized on the surface of new classes of topological crystalline insulators, normal to the rotation axis, connecting the anomalous two-dimensional states on the top and bottom surfaces.
Inversion-symmetric topological insulators
• Physics
• 2011
We analyze translationally invariant insulators with inversion symmetry that fall outside the current established classification of topological insulators. These insulators exhibit no edge or surface
One-dimensional Dirac electrons on the surface of weak topological insulators
• Physics
• 2015
We show that a class of weak three-dimensional topological insulators feature one-dimensional Dirac electrons on their surfaces. Their hallmark is a linelike energy dispersion along certain
Topological mirror insulators in one dimension
• Physics
• 2016
We demonstrate the existence of topological insulators in one dimension (1D) protected by mirror and time-reversal symmetries. They are characterized by a nontrivial ${\mathbb{Z}}_{2}$ topological
Purely rotational symmetry-protected topological crystalline insulator $\alpha$ -Bi 4 Br 4
Recent theoretical advances have proposed a new class of topological crystalline insulator (TCI) phases protected by rotational symmetries. Distinct from topological insulators (TIs), rotational
Topological insulators with inversion symmetry
• Physics
• 2007
Topological insulators are materials with a bulk excitation gap generated by the spin-orbit interaction that are different from conventional insulators. This distinction is characterized by ${Z}_{2}$
Topology in time-reversal symmetric crystals
• Physics
Physical Review B
• 2019
The discovery of topological insulators has reformed modern materials science, promising to be a platform for tabletop relativistic physics, electronic transport without scattering, and stable