skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Topological Insulators in Twisted Transition Metal Dichalcogenide Homobilayers

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Maryland, College Park, MD (United States)
  2. Univ. of Texas at Austin, Austin, TX (United States)
  3. The Univ. of Texas at Austin, Austin, TX (United States)
  4. Argonne National Lab. (ANL), Argonne, IL (United States)

We show that moiré bands of twisted homobilayers can be topologically nontrivial, and illustrate the tendency by studying valence band states in ±K valleys of twisted bilayer transition metal dichalcogenides, in particular, bilayer MoTe2. Because of the large spin-orbit splitting at the monolayer valence band maxima, the low energy valence states of the twisted bilayer MoTe2 at the +K (–K) valley can be described using a two-band model with a layer-pseudospin magnetic field Δ(r) that has the moiré period. We show that Δ(r) has a topologically nontrivial skyrmion lattice texture in real space, and that the topmost moiré valence bands provide a realization of the Kane-Mele quantum spin-Hall model, i.e., the two-dimensional time-reversal-invariant topological insulator. As a result, the bands narrow at small twist angles, a rich set of broken symmetry insulating states can occur at integer numbers of electrons per moiré cell.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Welch Foundation; USDOE
Grant/Contract Number:
AC02-06CH11357; W911NF-17-1-0312; TBF1473
OSTI ID:
1500107
Alternate ID(s):
OSTI ID: 1546358
Journal Information:
Physical Review Letters, Vol. 122, Issue 8; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 190 works
Citation information provided by
Web of Science

References (38)

Gate-Tunable Topological Flat Bands in Trilayer Graphene Boron-Nitride Moiré Superlattices journal January 2019
Coupled Spin and Valley Physics in Monolayers of MoS 2 and Other Group-VI Dichalcogenides journal May 2012
Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study journal March 2011
Unconventional superconductivity in magic-angle graphene superlattices journal March 2018
Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands journal July 2018
Tunable moiré bands and strong correlations in small-twist-angle bilayer graphene journal March 2017
Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers journal January 2018
Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices journal May 2013
Evidence for a fractional fractal quantum Hall effect in graphene superlattices journal December 2015
Topological Bloch bands in graphene superlattices journal August 2015
Z2 Topological Order and the Quantum Spin Hall Effect journal September 2005
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Quantum Spin Hall Effect in Graphene journal November 2005
Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene journal December 2018
Generic Wave-Function Description of Fractional Quantum Anomalous Hall States and Fractional Topological Insulators journal September 2011
Moire bands in twisted double-layer graphene journal July 2011
Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides journal August 2013
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal March 2018
Ab initio theory of moiré superlattice bands in layered two-dimensional materials journal May 2014
Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure journal May 2013
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" journal October 1988
Observation of fractional Chern insulators in a van der Waals heterostructure journal March 2018
Ultraflatbands and Shear Solitons in Moiré Patterns of Twisted Bilayer Transition Metal Dichalcogenides journal December 2018
Topological properties and dynamics of magnetic skyrmions journal December 2013
Topological mosaics in moiré superlattices of van der Waals heterobilayers journal November 2016
The measurement of the lattice parameters of molybdenum ditelluride journal April 1972
Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene journal September 2018
Interlayer coupling in commensurate and incommensurate bilayer structures of transition-metal dichalcogenides journal March 2017
Topological Exciton Bands in Moiré Heterojunctions journal April 2017
Berry phase effects on electronic properties journal July 2010
Spontaneous interlayer coherence in double-layer quantum Hall systems: Charged vortices and Kosterlitz-Thouless phase transitions journal February 1995
Interlayer couplings, Moiré patterns, and 2D electronic superlattices in MoS 2 /WSe 2 hetero-bilayers journal January 2017
Moire bands in twisted double-layer graphene text January 2010
Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study text January 2010
Generic Wavefunction Description of Fractional Quantum Anomalous Hall States and Fractional Topological Insulators text January 2011
Observation of fractional Chern insulators in a van der Waals heterostructure text January 2017
Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene text January 2018
Theory of phonon-mediated superconductivity in twisted bilayer graphene text January 2018

Cited By (15)

Van der Waals Heterostructures for High‐Performance Device Applications: Challenges and Opportunities journal October 2019
Functional Mid‐Infrared Polaritonics in van der Waals Crystals journal November 2019
Van Der Waals Heterostructures with Spin‐Orbit Coupling journal December 2019
One-dimensional flat bands in twisted bilayer germanium selenide journal February 2020
In-plane anisotropic electronics based on low-symmetry 2D materials: progress and prospects journal January 2020
Gate-tunable flat bands in van der Waals patterned dielectric superlattices journal December 2019
Indirect-to-direct bandgap transition in bilayer InSe: roles of twistronics journal January 2020
Spin liquids and pseudogap metals in the SU(4) Hubbard model in a moiré superlattice journal January 2020
Flat band in twisted bilayer Bravais lattices journal November 2019
One-dimensional flat bands in twisted bilayer germanium selenide text January 2020
Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene text January 2018
Designing Flat Band by Strain text January 2019
Gate-tunable flat bands in van der Waals patterned dielectric superlattices text January 2019
Van der Waals heterostructures with spin-orbit coupling text January 2019
Van der Waals heterostructures for high-performance device applications: challenges and opportunities text January 2019

Similar Records

Magic in twisted transition metal dichalcogenide bilayers
Journal Article · Thu Nov 18 00:00:00 EST 2021 · Nature Communications · OSTI ID:1500107

Γ valley transition metal dichalcogenide moiré bands
Journal Article · Wed Mar 03 00:00:00 EST 2021 · Proceedings of the National Academy of Sciences of the United States of America · OSTI ID:1500107

Hofstadter Topology: Noncrystalline Topological Materials at High Flux
Journal Article · Wed Dec 02 00:00:00 EST 2020 · Physical Review Letters · OSTI ID:1500107