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Title: New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We theoretically predict two new classes of three-dimensional topological crystalline insulators (TCIs), which have an odd number of unpinned surface Dirac cones protected by crystal symmetries. The first class is protected by a single nonsymmorphic glide plane symmetry; the second class is protected by a composition of a twofold rotation and time-reversal symmetry (a magnetic group symmetry). Both classes of TCIs are characterized by a quantized π-Berry phase associated with surface states and a Z2 topological invariant associated with the bulk bands. In the presence of disorder, these TCI surface states are protected against localization by the average crystal symmetries, and exhibit critical conductivity in the universality class of the quantum Hall plateau transition. Furthermore these new TCIs exist in time-reversal-breaking systems with or without spin-orbital coupling, and their material realizations are discussed.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
Grant/Contract Number:
SC0010526; DMR-1231319
OSTI ID:
1505791
Alternate ID(s):
OSTI ID: 1179956
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 91, Issue 16; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 167 works
Citation information provided by
Web of Science

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Cited By (45)

Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices journal October 2018
Hourglass fermions journal April 2016
Symmetry-protected topological photonic crystal in three dimensions journal January 2016
Topological semimetals with helicoid surface states journal June 2016
Möbius Kondo insulators journal April 2017
Unconventional topological phase transition in non-symmorphic material KHgX (X = As, Sb, Bi) journal June 2019
A gap-protected zero-Hall effect state in the quantum limit of the non-symmorphic metal KHgSb journal March 2019
Catalogue of topological electronic materials journal February 2019
Suppressed topological phase transitions due to nonsymmorphism in SnTe stacking journal June 2018
Chemically induced topological zero mode at graphene armchair edges journal January 2017
A methodical study of quantum phase engineering in topological crystalline insulator SnTe and related alloys journal January 2019
Enhancement of the anisotropic thermoelectric power factor of topological crystalline insulator SnTe and related alloys via external perturbations journal January 2019
Electronic properties of Gd x Bi 2− x Se 3 single crystals analyzed by Shubnikov-de Haas oscillations journal May 2018
Manipulating novel quantum phenomena using synthetic gauge fields journal November 2017
Topological ‘Luttinger’ invariants for filling-enforced non-symmorphic semimetals journal January 2019
Topological crystalline superconductors in two dimensions journal July 2019
Classification and surface anomaly of glide symmetry protected topological phases in three dimensions journal July 2017
Stiefel–Whitney classes and topological phases in band theory journal October 2019
Two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry journal June 2017
Hourglass semimetals with nonsymmorphic symmetries in three dimensions journal August 2017
Z 2 topological invariant for magnon spin Hall systems journal January 2019
Topological classification under nonmagnetic and magnetic point group symmetry: Application of real-space Atiyah-Hirzebruch spectral sequence to higher-order topology journal February 2019
Three-dimensional superconductors with hybrid higher-order topology journal March 2019
Symmetry representation approach to topological invariants in C 2 z T -symmetric systems journal June 2019
Pfaffian Formalism for Higher-Order Topological Insulators journal January 2020
Experimental evidence of hourglass fermion in the candidate nonsymmorphic topological insulator KHgSb journal May 2017
New classes of topological crystalline insulators having surface rotation anomaly journal December 2019
Topological materials discovery by large-order symmetry indicators journal March 2019
Topological states from topological crystals journal December 2019
Wallpaper fermions and the nonsymmorphic Dirac insulator journal July 2018
Three-Dimensional Topological States of Phonons with Tunable Pseudospin Physics journal July 2019
Berry-phase description of Topological Crystalline Insulators text January 2014
Classification of topological quantum matter with symmetries text January 2015
A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry text January 2016
Nonsymmorphic symmetry-required band crossings in topological semimetals text January 2016
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Pfaffian formalism for higher-order topological insulators text January 2019
Unusual change in the Dirac-cone energy band upon two-step magnetic transition in CeBi text January 2019

Figures / Tables (2)


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