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

Abstract

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.

Authors:
 [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1505791
Alternate Identifier(s):
OSTI ID: 1179956
Grant/Contract Number:  
SC0010526; DMR-1231319
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 16; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Fang, Chen, and Fu, Liang. New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic. United States: N. p., 2015. Web. doi:10.1103/physrevb.91.161105.
Fang, Chen, & Fu, Liang. New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic. United States. doi:10.1103/physrevb.91.161105.
Fang, Chen, and Fu, Liang. Wed . "New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic". United States. doi:10.1103/physrevb.91.161105. https://www.osti.gov/servlets/purl/1505791.
@article{osti_1505791,
title = {New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic},
author = {Fang, Chen and Fu, Liang},
abstractNote = {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.},
doi = {10.1103/physrevb.91.161105},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 16,
volume = 91,
place = {United States},
year = {2015},
month = {4}
}

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Works referenced in this record:

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