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

Fang, Chen; Fu, Liang

doi:10.1103/physrevb.91.161105

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

Journal Article · Wed Apr 15 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/physrevb.91.161105· OSTI ID:1505791

Fang, Chen ^[1]; Fu, Liang ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
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.

View Accepted Manuscript (DOE)

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

Grant/Contract Number:: SC0010526

OSTI ID:: 1505791

Alternate ID(s):: OSTI ID: 1179956

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 16 Vol. 91; ISSN 1098-0121; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Unconventional topological phase transition in two-dimensional systems with space-time inversion symmetry Ahn, Junyeong; Yang, Bohm-Jung arXiv https://doi.org/10.48550/arxiv.1609.04978	text	January 2016
Classification and surface anomaly of glide symmetry protected topological phases in three dimensions Lu, Fuyan; Shi, Bowen; Lu, Yuan-Ming arXiv https://doi.org/10.48550/arxiv.1701.00784	text	January 2017
Fractional chiral superconductors Sagi, Eran; Haim, Arbel; Berg, Erez arXiv https://doi.org/10.48550/arxiv.1707.06654	text	January 2017
Out-of-bounds hydrodynamics in anisotropic Dirac fluids Link, Julia M.; Narozhny, Boris N.; Kiselev, Egor I. arXiv https://doi.org/10.48550/arxiv.1708.02759	text	January 2017
Topological Bloch oscillations Höller, J.; Alexandradinata, A. arXiv https://doi.org/10.48550/arxiv.1708.02943	text	January 2017
Observation of Gapless Dirac Surface States in ZrGeTe Hosen, M. Mofazzel; Dimitri, Klauss; Aperis, Alex arXiv https://doi.org/10.48550/arxiv.1711.08011	text	January 2017
Topological nodal-line semimetals in ferromagnetic rare-earth-metal monohalides Nie, Simin; Weng, Hongming; Prinz, Fritz B. arXiv https://doi.org/10.48550/arxiv.1803.08486	text	January 2018
Stiefel-Whitney classes and topological phases in band theory Ahn, Junyeong; Park, Sungjoon; Kim, Dongwook arXiv https://doi.org/10.48550/arxiv.1904.00336	text	January 2019
Pfaffian formalism for higher-order topological insulators Li, Heqiu; Sun, Kai arXiv https://doi.org/10.48550/arxiv.1906.03675	text	January 2019
Unusual change in the Dirac-cone energy band upon two-step magnetic transition in CeBi Oinuma, Hikaru; Souma, Seigo; Nakayama, Kosuke arXiv https://doi.org/10.48550/arxiv.1910.00787	text	January 2019

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