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Discovery of a weak topological insulating state and van Hove singularity in triclinic RhBi2

Journal Article · · Nature Communications
Abstract

Time reversal symmetric (TRS) invariant topological insulators (TIs) fullfil a paradigmatic role in the field of topological materials, standing at the origin of its development. Apart from TRS protected strong TIs, it was realized early on that more confounding weak topological insulators (WTI) exist. WTIs depend on translational symmetry and exhibit topological surface states only in certain directions making it significantly more difficult to match the experimental success of strong TIs. We here report on the discovery of a WTI state in RhBi 2 that belongs to the optimal space group P $$$$\bar{1}$$$$ 1 ¯ , which is the only space group where symmetry indicated eigenvalues enumerate all possible invariants due to absence of additional constraining crystalline symmetries. Our ARPES, DFT calculations, and effective model reveal topological surface states with saddle points that are located in the vicinity of a Dirac point resulting in a van Hove singularity (VHS) along the (100) direction close to the Fermi energy ( E F ). Due to the combination of exotic features, this material offers great potential as a material platform for novel quantum effects.

Research Organization:
Ames Laboratory (AMES), Ames, IA (United States); Energy Frontier Research Centers (EFRC) (United States). Center for the Advancement of Topological Semimetals (CATS)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
AC02-07CH11358
OSTI ID:
1772659
Alternate ID(s):
OSTI ID: 1772555
Report Number(s):
IS-J-10,442; 1855; PII: 22136
Journal Information:
Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 12; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (56)

Occurrence of van Hove singularities in YBa2Cu4O8 and YBa2Cu3O6.9 journal October 1993
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
WannierTools: An open-source software package for novel topological materials journal March 2018
The translational side of topological band insulators journal May 2019
Topological quantum chemistry journal July 2017
Stacked topological insulator built from bismuth-based graphene sheet analogues journal March 2013
One-dimensional topologically protected modes in topological insulators with lattice dislocations journal March 2009
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface journal May 2009
Observation of Van Hove singularities in twisted graphene layers journal November 2009
The space group classification of topological band-insulators journal December 2012
Subnanometre-wide electron channels protected by topology journal March 2015
Symmetry-based indicators of band topology in the 230 space groups journal June 2017
Quantitative mappings between symmetry and topology in solids journal August 2018
A weak topological insulator state in quasi-one-dimensional bismuth iodide journal February 2019
Angle-resolved photoemission spectroscopy and its application to topological materials journal August 2019
Antiferromagnetism and superconductivity in a quasi two-dimensional electron gas. Scaling theory of a generic Hubbard model journal January 1987
Tunable vacuum ultraviolet laser based spectrometer for angle resolved photoemission spectroscopy journal March 2014
Use of frit-disc crucibles for routine and exploratory solution growth of single crystalline samples journal December 2015
Quick iterative scheme for the calculation of transfer matrices: application to Mo (100) journal May 1984
Highly convergent schemes for the calculation of bulk and surface Green functions journal April 1985
New materials physics journal November 2019
Inhomogeneous Electron Gas journal November 1964
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time-reversal symmetry journal November 2019
Saddle-point Van Hove singularity and dual topological state in Pt 2 HgSe 3 journal December 2019
Special points for Brillouin-zone integrations journal June 1976
Simple scheme for surface-band calculations. I journal May 1981
Simple scheme for surface-band calculations. II. The Green's function journal May 1981
Projector augmented-wave method journal December 1994
Observation of a van Hove singularity in Bi 2 Sr 2 CaCu 2 O 8 + x with angle-resolved photoemission journal February 1995
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Maximally localized generalized Wannier functions for composite energy bands journal November 1997
Magnetic phases near the Van Hove singularity in s - and d -band Hubbard models journal August 1997
Maximally localized Wannier functions for entangled energy bands journal December 2001
Topological defects and gapless modes in insulators and superconductors journal September 2010
Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection journal August 2011
Wilson-loop characterization of inversion-symmetric topological insulators journal April 2014
Interplay between electronic topology and crystal symmetry: Dislocation-line modes in topological band insulators journal December 2014
Topological phase diagram and saddle point singularity in a tunable topological crystalline insulator journal August 2015
Impurity-bound states and Green's function zeros as local signatures of topology journal August 2015
Van Hove singularity and ferromagnetic instability in phosphorene journal August 2015
Correlation effects and quantum oscillations in topological nodal-loop semimetals journal February 2017
Extended van Hove Singularity and Superconducting Instability in Doped Graphene journal April 2010
New Mechanism for Superconductivity journal September 1965
Enhanced Superconductivity in Quasi Two-Dimensional Systems journal June 1986
Anomalous isotope effect and Van Hove singularity in superconducting Cu oxides journal November 1990
Generalized Gradient Approximation Made Simple journal October 1996
Ferromagnetism in the Two Dimensional t − t ′ Hubbard Model at the Van Hove Density journal February 1997
Kinematics of Electrons near a Van Hove Singularity journal May 2000
Magnetic and Superconducting Instabilities of the Hubbard Model at the Van Hove Filling journal October 2001
Topological Insulators in Three Dimensions journal March 2007
Colloquium: Topological insulators journal November 2010
Topological insulators and superconductors journal October 2011
Maximally localized Wannier functions: Theory and applications journal October 2012
Superconductivity in Alcaline-Earth-Substituted La 2 CuO 4 : A Theoretical Model journal June 1987
Angle-resolved photoemission spectroscopy(ARPES) , DFT calculations and theoretical description of a weak topological insulator RhBi2 dataset January 2021

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