DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on Sat Jul 20 00:00:00 EDT 2024

Title: Magnetic Field-Stabilized Wigner Crystal States in a Graphene Moiré Superlattice

Abstract

ABC-stacked trilayer graphene on boron nitride (ABC-TLG/hBN) moiré superlattices provides a tunable platform for exploring Wigner crystal states in which the electron correlation can be controlled by electric and magnetic fields. Here, in this work, we report the observation of magnetic field-stabilized Wigner crystal states in a ABC-TLG/hBN. We show that correlated insulating states emerge at multiple fractional and integer fillings corresponding to ν = 1/3, 2/3, 1, 4/3, 5/3, and 2 electrons per moiré lattice site under a magnetic field. These correlated insulating states can be attributed to generalized Mott states for the integer fillings and generalized Wigner crystal states for the fractional fillings. The generalized Wigner crystal states are stabilized by a vertical magnetic field and are strongest at one magnetic flux quantum per three moiré superlattices. The ν = 2 insulating state persists up to 30 T, which can be described by a Mott–Hofstadter transition at a high magnetic field.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [4];  [4];  [4]; ORCiD logo [5]; ORCiD logo [4]; ORCiD logo [6]; ORCiD logo [6]; ORCiD logo [5];  [7];  [8];  [9]
  1. Shanghai Jiao Tong Univ. (China); Univ. of California, Berkeley, CA (United States)
  2. Harvard Univ., Cambridge, MA (United States)
  3. Stanford Univ., CA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  4. Univ. of California, Berkeley, CA (United States)
  5. Shanghai Jiao Tong Univ. (China)
  6. National Institute for Materials Science (NIMS), Tsukuba (Japan)
  7. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., CA (United States)
  8. Fudan Univ., Shanghai (China)
  9. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1999588
Grant/Contract Number:  
AC02-76SF00515; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Nano Letters
Additional Journal Information:
Journal Volume: 23; Journal Issue: 15; Journal ID: ISSN 1530-6984
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY; graphene; moiré superlattice; Wigner crystal; Hofstadter butterfly; Mott insulator; flat band

Citation Formats

Chen, Guorui, Zhang, Ya-Hui, Sharpe, Aaron, Zhang, Zuocheng, Wang, Shaoxin, Jiang, Lili, Lyu, Bosai, Li, Hongyuan, Watanabe, Kenji, Taniguchi, Takashi, Shi, Zhiwen, Goldhaber-Gordon, David, Zhang, Yuanbo, and Wang, Feng. Magnetic Field-Stabilized Wigner Crystal States in a Graphene Moiré Superlattice. United States: N. p., 2023. Web. doi:10.1021/acs.nanolett.3c01741.
Chen, Guorui, Zhang, Ya-Hui, Sharpe, Aaron, Zhang, Zuocheng, Wang, Shaoxin, Jiang, Lili, Lyu, Bosai, Li, Hongyuan, Watanabe, Kenji, Taniguchi, Takashi, Shi, Zhiwen, Goldhaber-Gordon, David, Zhang, Yuanbo, & Wang, Feng. Magnetic Field-Stabilized Wigner Crystal States in a Graphene Moiré Superlattice. United States. https://doi.org/10.1021/acs.nanolett.3c01741
Chen, Guorui, Zhang, Ya-Hui, Sharpe, Aaron, Zhang, Zuocheng, Wang, Shaoxin, Jiang, Lili, Lyu, Bosai, Li, Hongyuan, Watanabe, Kenji, Taniguchi, Takashi, Shi, Zhiwen, Goldhaber-Gordon, David, Zhang, Yuanbo, and Wang, Feng. Thu . "Magnetic Field-Stabilized Wigner Crystal States in a Graphene Moiré Superlattice". United States. https://doi.org/10.1021/acs.nanolett.3c01741.
@article{osti_1999588,
title = {Magnetic Field-Stabilized Wigner Crystal States in a Graphene Moiré Superlattice},
author = {Chen, Guorui and Zhang, Ya-Hui and Sharpe, Aaron and Zhang, Zuocheng and Wang, Shaoxin and Jiang, Lili and Lyu, Bosai and Li, Hongyuan and Watanabe, Kenji and Taniguchi, Takashi and Shi, Zhiwen and Goldhaber-Gordon, David and Zhang, Yuanbo and Wang, Feng},
abstractNote = {ABC-stacked trilayer graphene on boron nitride (ABC-TLG/hBN) moiré superlattices provides a tunable platform for exploring Wigner crystal states in which the electron correlation can be controlled by electric and magnetic fields. Here, in this work, we report the observation of magnetic field-stabilized Wigner crystal states in a ABC-TLG/hBN. We show that correlated insulating states emerge at multiple fractional and integer fillings corresponding to ν = 1/3, 2/3, 1, 4/3, 5/3, and 2 electrons per moiré lattice site under a magnetic field. These correlated insulating states can be attributed to generalized Mott states for the integer fillings and generalized Wigner crystal states for the fractional fillings. The generalized Wigner crystal states are stabilized by a vertical magnetic field and are strongest at one magnetic flux quantum per three moiré superlattices. The ν = 2 insulating state persists up to 30 T, which can be described by a Mott–Hofstadter transition at a high magnetic field.},
doi = {10.1021/acs.nanolett.3c01741},
journal = {Nano Letters},
number = 15,
volume = 23,
place = {United States},
year = {Thu Jul 20 00:00:00 EDT 2023},
month = {Thu Jul 20 00:00:00 EDT 2023}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 20, 2024
Publisher's Version of Record

Save / Share:

Works referenced in this record:

On the Interaction of Electrons in Metals
journal, December 1934


Electronic Transport in Mesoscopic Systems
book, January 2013


Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
journal, March 2018


Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure
journal, May 2013


Observation of a Magnetically Induced Wigner Solid
journal, June 1988


Observation of fractional Chern insulators in a van der Waals heterostructure
journal, March 2018


Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
journal, March 2020


Nearly flat Chern bands in moiré superlattices
journal, February 2019


Signatures of tunable superconductivity in a trilayer graphene moiré superlattice
journal, July 2019


Tunable Orbital Ferromagnetism at Noninteger Filling of a Moiré Superlattice
journal, January 2022


Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices
journal, May 2013


Cloning of Dirac fermions in graphene superlattices
journal, May 2013

  • Ponomarenko, L. A.; Gorbachev, R. V.; Yu, G. L.
  • Nature, Vol. 497, Issue 7451
  • DOI: 10.1038/nature12187

Bridging Hubbard model physics and quantum Hall physics in trilayer graphene / h BN moiré superlattice
journal, May 2019


Spectroscopy signatures of electron correlations in a trilayer graphene/hBN moiré superlattice
journal, March 2022


Half- and quarter-metals in rhombohedral trilayer graphene
journal, September 2021


Correlated insulating states at fractional fillings of the WS2/WSe2 moiré lattice
journal, February 2021


Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice
journal, January 2019


Evidence for two-dimentional quantum Wigner crystal
journal, October 1990


Correlated insulating states at fractional fillings of moiré superlattices
journal, November 2020


Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice
journal, March 2020


Crystallization of electrons on the surface of liquid helium
journal, April 1971


Evidence for a Liquid-to-Crystal Phase Transition in a Classical, Two-Dimensional Sheet of Electrons
journal, March 1979


Direct observation of a widely tunable bandgap in bilayer graphene
journal, June 2009

  • Zhang, Yuanbo; Tang, Tsung-Ta; Girit, Caglar
  • Nature, Vol. 459, Issue 7248
  • DOI: 10.1038/nature08105

Moiré butterflies in twisted bilayer graphene
journal, July 2011