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Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe2 (X=Mo,W )

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4];  [5]
  1. Chinese Academy of Sciences (CAS), Beijing (China); University of Chinese Academy of Sciences (CAS), Beijing (China); Princeton Univ., NJ (United States); OSTI
  2. Princeton Univ., NJ (United States)
  3. Westlake University, Hangzhou (China)
  4. Weizmann Inst. of Science, Rehovot (Israel)
  5. Princeton Univ., NJ (United States); Freie Universität Berlin (Germany); Max Planck Institute of Microstructure Physics, Halle (Germany)

In recent years, transition metal dichalcogenides (TMDs) have garnered great interest as topological materials. In particular, monolayers of centrosymmetric β-phase TMDs have been identified as 2D topological insulators (TIs), and bulk crystals of noncentrosymmetric γ-phase MoTe2 and WTe2 have been identified as type-II Weyl semimetals. However, angle-resolved photoemission spectroscopy and STM probes of these semimetals have revealed huge, arclike surface states that overwhelm, and are sometimes mistaken for, the much smaller topological surface Fermi arcs of bulk type-II Weyl points. In this Letter, we calculate the bulk and surface electronic structure of both β- and γ-MoTe2. We find that β-MoTe2 is, in fact, a $$\mathbb Z_4$$-nontrivial higher-order TI (HOTI) driven by double band inversion and exhibits the same surface features as γ-MoTe2 and γ-WTe2. Further, we discover that these surface states are not topologically trivial, as previously characterized by the research that differentiated them from the Weyl Fermi arcs but, rather, are the characteristic split and gapped fourfold Dirac surface states of a HOTI. In β-MoTe2, this indicates that it would exhibit helical pairs of hinge states if it were bulk insulating, and in γ-MoTe2 and γ-WTe2, these surface states represent vestiges of HOTI phases without inversion symmetry that are nearby in parameter space. Using nested Wilson loops and first-principles calculations, we explicitly demonstrate that, when the Weyl points in γ-MoTe2 are annihilated, which may be accomplished by symmetry-preserving strain or lattice distortion, γ-MoTe2 becomes a nonsymmetry-indicated, noncentrosymmetric HOTI. We also show that, when the effects of spin-orbit coupling are neglected, β-MoTe2 is a nodal-line semimetal with $$\mathbb Z_2$$-nontrivial monopole nodal lines (MNLSM). This finding confirms that MNLSMs driven by double band inversion are the weak-spin-orbit coupling limit of HOTIs, implying that MNLSMs are higher-order topological semimetals with flat-band-like hinge states, which we find to originate from the corner modes of 2D “fragile” TIs.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC); National Science Foundation (NSF); US Army Research Office (ARO); Simons Investigator Grant; US Department of the Navy, Office of Naval Research (ONR); Packard Foundation; Schmidt Fund for Innovative Research; John Simon Guggenheim Memorial Foundation; National Thousand-Young-Talents Program; Chinese Academy of Sciences (CAS); National Natural Science Foundation of China (NSFC); Willner Family Leadership Institute; Benoziyo Endowment Fund for the Advancement of Science; Ruth and Herman Albert Scholars Program for New Scientists; European Research Council (ERC); European Union Horizon 2020 Research and Innovation Programme
Grant/Contract Number:
SC0016239
OSTI ID:
1802876
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 123; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (18)

Polar and phase domain walls with conducting interfacial states in a Weyl semimetal MoTe2 journal September 2019
Strong and fragile topological Dirac semimetals with higher-order Fermi arcs journal January 2020
Two-dimensional higher-order topology in monolayer graphdiyne journal January 2020
Comprehensive search for topological materials using symmetry indicators journal February 2019
Second-order topological insulators and loop-nodal semimetals in Transition Metal Dichalcogenides XTe2 (X = Mo, W) journal March 2019
Stiefel–Whitney classes and topological phases in band theory journal October 2019
Higher-Order Topological Insulator in Twisted Bilayer Graphene journal November 2019
Two-Dimensional Second-Order Topological Insulator in Graphdiyne journal December 2019
Fragile topology protected by inversion symmetry: Diagnosis, bulk-boundary correspondence, and Wilson loop journal November 2019
Second-order topological phases protected by chiral symmetry journal December 2019
Appearance of hinge states in second-order topological insulators via the cutting procedure journal March 2020
Strain-engineered higher-order topological phases for spin- 3 2 Luttinger fermions journal March 2020
Quantization in Chiral Higher Order Topological Insulators: Circular Dichroism and Local Chern Marker journal December 2019
Antiunitary symmetry protected higher-order topological phases journal December 2019
Higher-order topological insulators in amorphous solids journal March 2020
Stiefel-Whitney classes and topological phases in band theory text January 2019
Two-dimensional higher-order topology in monolayer graphdiyne text January 2019
Polar and phase domain walls with conducting interfacial states in a Weyl semimetal MoTe2 text January 2019

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