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Title: Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands

Journal Article · · Physical Review Letters
 [1];  [2];  [2];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Univ. of Texas, Austin, TX (United States)

Flexible long period moire superlattices form in two-dimensional van der Waals crystals containing layers that differ slightly in lattice constant or orientation. In this Letter we show theoretically that isolated flat moire bands described by generalized triangular lattice Hubbard models are present in twisted transition metal dichalcogenide heterobilayers. The hopping and interaction strength parameters of the Hubbard model can be tuned by varying the twist angle and the three-dimensional dielectric environment. In conclusion, when the flat moire bands are partially filled, candidate many-body ground states at some special filling factors include spin-liquid states, quantum anomalous Hall insulators, and chiral d-wave superconductors.

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; University of Texas, Austin, Texas Advanced Computing Center; USDOE
Grant/Contract Number:
AC02-06CH11357; FG02-02ER45958; SC0012670
OSTI ID:
1466348
Alternate ID(s):
OSTI ID: 1459699
Journal Information:
Physical Review Letters, Vol. 121, Issue 2; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 164 works
Citation information provided by
Web of Science

References (33)

Moiré excitons: From programmable quantum emitter arrays to spin-orbit–coupled artificial lattices journal November 2017
Coupled Spin and Valley Physics in Monolayers of MoS 2 and Other Group-VI Dichalcogenides journal May 2012
Superconductivity from weak repulsion in hexagonal lattice systems journal April 2014
Unconventional superconductivity in magic-angle graphene superlattices journal March 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
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
t U expansion for the Hubbard model journal June 1988
Chiral superconductivity from repulsive interactions in doped graphene journal January 2012
Direct measurement of exciton valley coherence in monolayer WSe2 journal February 2016
Spin liquid phase of the S = 1 2 J 1 J 2 Heisenberg model on the triangular lattice journal July 2015
Tunable Γ K Valley Populations in Hole-Doped Trilayer WSe 2 journal March 2018
Transport properties of the one-dimensional Hubbard model at finite temperature journal October 2014
Moire bands in twisted double-layer graphene journal July 2011
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
Quantum-Confined Electronic States Arising from the Moiré Pattern of MoS 2 –WSe 2 Heterobilayers journal February 2018
Heat and spin transport in a cold atomic Fermi gas journal November 2012
Itinerant Half-Metal Spin-Density-Wave State on the Hexagonal Lattice journal May 2012
Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms journal February 2015
Boron nitride substrates for high-quality graphene electronics journal August 2010
The valley Hall effect in MoS2 transistors journal June 2014
Systematic study of electronic structure and band alignment of monolayer transition metal dichalcogenides in Van der Waals heterostructures journal November 2016
van der Waals Bonding in Layered Compounds from Advanced Density-Functional First-Principles Calculations journal June 2012
Topological Exciton Bands in Moiré Heterojunctions journal April 2017
Control of valley polarization in monolayer MoS2 by optical helicity journal June 2012
Dynamic band-structure tuning of graphene moiré superlattices with pressure journal May 2018
Fermi-Hubbard Physics with Atoms in an Optical Lattice journal August 2010
Interlayer couplings, Moiré patterns, and 2D electronic superlattices in MoS 2 /WSe 2 hetero-bilayers journal January 2017
Fermi-Hubbard physics with atoms in an optical lattice text January 2010
Moire bands in twisted double-layer graphene text January 2010
Superconductivity from weak repulsion in hexagonal lattice systems text January 2014
Transport properties of the one-dimensional Hubbard model at finite temperature text January 2014

Cited By (19)

A First‐Principles Study of Electronic Properties of Twisted MoTe 2 journal September 2019
Unifying description of competing orders in two-dimensional quantum magnets journal September 2019
Maximized electron interactions at the magic angle in twisted bilayer graphene journal July 2019
Evolution of inter-layer coupling in artificially stacked bilayer MoS 2 journal January 2019
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
Pressure induced compression of flatbands in twisted bilayer graphene journal November 2018
Topological charge pumping by a sliding moiré pattern journal January 2020
Formation of Bloch Flat Bands in Polar Twisted Bilayers without Magic Angles journal February 2020
Flat band in twisted bilayer Bravais lattices journal November 2019
Tuning superconductivity in twisted bilayer graphene journal January 2019
Manufacturing strategies for wafer-scale two-dimensional transition metal dichalcogenide heterolayers journal February 2020
Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach text January 2018
Principal Chiral Model in Correlated Electron Systems text January 2018
Tuning superconductivity in twisted bilayer graphene text January 2018
Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study text January 2018
Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene text January 2018
Unifying Description of Competing Orders in Two Dimensional Quantum Magnets text January 2018
Gate-tunable flat bands in van der Waals patterned dielectric superlattices text January 2019

Figures / Tables (4)


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