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Title: Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands

Abstract

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.

Authors:
 [1];  [2];  [2];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Univ. of Texas, Austin, TX (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
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
OSTI Identifier:
1466348
Alternate Identifier(s):
OSTI ID: 1459699
Grant/Contract Number:  
AC02-06CH11357; FG02-02ER45958; SC0012670
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 2; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Wu, Fengcheng, Lovorn, Timothy, Tutuc, Emanuel, and MacDonald, Allan H. Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.026402.
Wu, Fengcheng, Lovorn, Timothy, Tutuc, Emanuel, & MacDonald, Allan H. Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands. United States. https://doi.org/10.1103/PhysRevLett.121.026402
Wu, Fengcheng, Lovorn, Timothy, Tutuc, Emanuel, and MacDonald, Allan H. Tue . "Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands". United States. https://doi.org/10.1103/PhysRevLett.121.026402. https://www.osti.gov/servlets/purl/1466348.
@article{osti_1466348,
title = {Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands},
author = {Wu, Fengcheng and Lovorn, Timothy and Tutuc, Emanuel and MacDonald, Allan H.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.121.026402},
journal = {Physical Review Letters},
number = 2,
volume = 121,
place = {United States},
year = {2018},
month = {7}
}

Journal Article:

Citation Metrics:
Cited by: 3 works
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Figures / Tables:

Figure 1 Figure 1: (a) Schematic band structure of monolayer WSe2 with a large (small) spin-splitting at valence (conduction) band extrema located at the ±K valleys. (b) AA stacked WX2/MoX2 bilayers with an additional in-plane displacement d, and a twist angle θ. a1 and a2 are primitive translation vectors of WX2. (c)more » Dependence of the WSe2 valence band maximum ∆(d) on displacement d in AA stacked WSe2/MoSe2 with zero twist angle. ∆(d) has triangular lattice periodicity and one maximum per triangular lattice unit cell. (d) When a moiré pattern is formed the band maximum variation is magnified from the atomic scale to the moiré pattern scale. The color scales in (c) and (d) are identical and the orange dashed lines in (d) are near-neighbor links that connect ∆($r$) maxima.« less

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.