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Title: Topological crystalline insulator states in the Ca2As family

Journal Article · · Physical Review. B
 [1];  [2];  [1];  [1];  [3];  [3];  [3];  [4];  [2];  [3];  [5];  [3]
  1. National Cheng Kung Univ., Tainan City (Taiwan)
  2. National University of Singapore (Singapore)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  4. Northeastern Univ., Boston, MA (United States)
  5. Academia Sinica, Taipei (Taiwan)

Topological crystalline insulators (TCIs) are insulating electronic phases of matter with nontrivial topology originating from crystalline symmetries. Recent theoretical advances have proposed new TCI states protected by rotational symmetries and provided powerful guidelines to search for TCIs in real materials. Building upon recent theoretical works, we demonstrate a feasible method to identify new TCI states based on first-principles calculations. We systematically unveil the topological properties of the TCI states in Ca2As. Here, on both top and side surfaces, we observe topological surface states protected independently by rotational and mirror symmetries. We show that a particular lattice distortion can single out the newly proposed topological protection by the rotational symmetry. As a result, the Dirac points of the topological surface states are moved to generic locations in momentum space away from any high-symmetry lines. Such topological surface states have not been seen before. Moreover, the other family members, including Ca2Sb, Ca2Bi, and Sr2Sb, feature different topological surface states due to their distinct topological invariants. We thus further propose topological phase transitions in the pseudobinary systems such as (Ca1–xSrx)2As and Ca2AsxSb1–x. Our work reveals rich and exotic TCI physics across the Ca2As family of materials and demonstrates a complete roadmap for uncovering TCIs topological nature based on first-principles calculations. Such a method can be broadly applied in searching for new TCIs.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Center for Excitonics (CE); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; US Air Force Office of Scientific Research (AFOSR); Gordon and Betty Moore Foundation; Ministry of Science and Technology (MOST); National Center for Theoretical Sciences (NCTS); USDOE
Grant/Contract Number:
SC0010526; SC0001088; FA9550-16-1-0382; GBMF4541; GBMF4540; FG02-07ER46352; AC02-05CH11231; MOST107-2636-M-006-004; DESC0001088
OSTI ID:
1544152
Alternate ID(s):
OSTI ID: 1484420
Journal Information:
Physical Review. B, Vol. 98, Issue 24; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

References (37)

Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe journal January 2012
Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator journal August 2013
Wannier center sheets in topological insulators journal March 2014
Surface states and topological invariants in three-dimensional topological insulators: Application to Bi1xSbx journal July 2008
Robust spin-polarized midgap states at step edges of topological crystalline insulators journal December 2016
An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions journal August 2014
Hourglass fermions journal April 2016
Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators journal September 2018
Higher-order topological insulators journal June 2018
Topological insulators with inversion symmetry journal July 2007
Topological Materials: Weyl Semimetals journal March 2017
Topological phase transitions in thin films by tuning multivalley boundary-state couplings journal June 2017
Colloquium: Topological insulators journal November 2010
Colloquium : Topological band theory journal June 2016
Evidence for massive bulk Dirac fermions in Pb1−xSnxSe from Nernst and thermopower experiments journal November 2013
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Mapping the unconventional orbital texture in topological crystalline insulators journal July 2014
Topology of nonsymmorphic crystalline insulators and superconductors journal May 2016
Experimental realization of a topological crystalline insulator in SnTe journal September 2012
A pressure-induced topological phase with large Berry curvature in Pb 1− x Sn x Te journal May 2017
Quantitative mappings between symmetry and topology in solids journal August 2018
Topological Crystalline Insulators journal March 2011
Discovery of robust in-plane ferroelectricity in atomic-thick SnTe journal July 2016
Topological Crystalline Kondo Insulator in Mixed Valence Ytterbium Borides journal January 2014
Topological quantum chemistry journal July 2017
Topological Insulators in Three Dimensions journal March 2007
Topological crystalline insulator states in Pb1−xSnxSe journal September 2012
( d 2 ) -Dimensional Edge States of Rotation Symmetry Protected Topological States journal December 2017
Topological crystalline materials: General formulation, module structure, and wallpaper groups journal June 2017
Mode-Selective Control of the Crystal Lattice journal January 2015
Z 2 topology in nonsymmorphic crystalline insulators: Möbius twist in surface states journal April 2015
Symmetry-based indicators of band topology in the 230 space groups journal June 2017
Topological Classification of Crystalline Insulators through Band Structure Combinatorics journal December 2017
Topology, Delocalization via Average Symmetry and the Symplectic Anderson Transition journal December 2012
Wallpaper fermions and the nonsymmorphic Dirac insulator journal July 2018
Topological crystalline insulators in the SnTe material class journal January 2012
Topological quantum chemistry text January 2017

Cited By (13)

Unconventional topological phase transition in non-symmorphic material KHgX (X = As, Sb, Bi) journal June 2019
Efficient topological materials discovery using symmetry indicators journal February 2019
Symmetry-enforced chiral hinge states and surface quantum anomalous Hall effect in the magnetic axion insulator Bi2–xSmxSe3 journal March 2019
A complete catalogue of high-quality topological materials journal February 2019
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
Topology on a new facet of bismuth journal June 2019
Purely rotational symmetry-protected topological crystalline insulator $\alpha$ -Bi 4 Br 4 journal May 2019
Topological crystalline insulator state with type-II Dirac fermions in transition metal dipnictides journal November 2019
Anomalous Floquet topological crystalline insulators journal May 2019
Dual topology in jacutingaite Pt 2 HgSe 3 journal July 2019
Topological crystalline insulators with C 2 rotation anomaly journal August 2019
Band Topology of Bismuth Quantum Films journal September 2019

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