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Title: Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice

Journal Article · · Nature (London)
 [1];  [2];  [3];  [4];  [5];  [5];  [6];  [1];  [7];  [7];  [6];  [4];  [3];  [8];  [9]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
  2. Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  5. Univ. of California, Berkeley, CA (United States)
  6. Shanghai Jiao Tong Univ. (China); Collaborative Innovation Center of Advanced Microstructures, Nanjing (China)
  7. National Inst. for Materials Science, Tsukuba (Japan)
  8. Collaborative Innovation Center of Advanced Microstructures, Nanjing (China); Fudan Univ., Shanghai (China)
  9. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States); Kavli Energy NanoScience Institute, Berkeley, CA (United States)

Studies of two-dimensional electron systems in a strong magnetic field revealed the quantum Hall effect1, a topological state of matter featuring a finite Chern number C and chiral edge states2,3. Haldane4 later theorized that Chern insulators with integer quantum Hall effects could appear in lattice models with complex hopping parameters even at zero magnetic field. The ABC-trilayer graphene/hexagonal boron nitride (ABC-TLG/hBN) moiré superlattice provides an attractive platform with which to explore Chern insulators because it features nearly flat moiré minibands with a valley-dependent, electrically tunable Chern number5,6. Here we report the experimental observation of a correlated Chern insulator in an ABC-TLG/hBN moiré superlattice. We show that reversing the direction of the applied vertical electric field switches the moiré minibands of ABC-TLG/hBN between zero and finite Chern numbers, as revealed by large changes in magneto-transport behaviour. For topological hole minibands tuned to have a finite Chern number, we focus on quarter filling, corresponding to one hole per moiré unit cell. The Hall resistance is well quantized at h/2e2 (where h is Planck's constant and e is the charge on the electron), which implies C = 2, for a magnetic field exceeding 0.4 tesla. The correlated Chern insulator is ferromagnetic, exhibiting substantial magnetic hysteresis and a large anomalous Hall signal at zero magnetic field. Our discovery of a C = 2 Chern insulator at zero magnetic field should open up opportunities for discovering correlated topological states, possibly with topological excitations7, in nearly flat and topologically nontrivial moiré minibands.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Center for Novel Pathways to Quantum Coherence in Materials (NPQC); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); Gordon and Betty Moore Foundation; National Key Research Program of China; National Science Foundation of China; Chinese Academy of Sciences; National Natural Science Foundation of China (NSFC)
Grant/Contract Number:
AC02-76SF00515; GBMF3429; 2016YFA0300703; 2018YFA0305600; U1732274; 11527805; 11425415; 11421404; XDB30000000; 2016YFA0302001; 11574204; 11774224; DMR-1608505; AC02-05CH11231
OSTI ID:
1647087
Alternate ID(s):
OSTI ID: 1676375
Journal Information:
Nature (London), Vol. 579, Issue 7797; ISSN 0028-0836
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 349 works
Citation information provided by
Web of Science

References (47)

Gate-Tunable Topological Flat Bands in Trilayer Graphene Boron-Nitride Moiré Superlattices journal January 2019
New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance journal August 1980
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene journal October 2019
Nearly flat Chern bands in moiré superlattices journal February 2019
Unconventional superconductivity in magic-angle graphene superlattices journal March 2018
Quantized Hall Conductance in a Two-Dimensional Periodic Potential journal August 1982
Spontaneous Quantum Hall States in Chirally Stacked Few-Layer Graphene Systems journal April 2011
Transport Studies of Dual-Gated ABC and ABA Trilayer Graphene: Band Gap Opening and Band Structure Tuning in Very Large Perpendicular Electric Fields journal January 2013
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene journal July 2019
Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices journal May 2013
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator journal March 2013
Isospin Pomeranchuk effect in twisted bilayer graphene journal April 2021
Cloning of Dirac fermions in graphene superlattices journal May 2013
Bridging Hubbard model physics and quantum Hall physics in trilayer graphene / h BN moiré superlattice journal May 2019
Topological valley transport at bilayer graphene domain walls journal April 2015
Fractional Chern Insulators in Topological Flat Bands with Higher Chern Number journal November 2012
Spin and valley quantum Hall ferromagnetism in graphene journal May 2012
Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice journal January 2019
Observation of an electrically tunable band gap in trilayer graphene journal September 2011
The experimental observation of quantum Hall effect of l=3 chiral quasiparticles in trilayer graphene journal September 2011
Direct observation of a widely tunable bandgap in bilayer graphene journal June 2009
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal March 2018
One-Dimensional Electrical Contact to a Two-Dimensional Material journal October 2013
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
The Quantum Hall Effects book January 1991
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" journal October 1988
Topological flat band Models and Fractional Chern Insulators journal September 2013
Strongly correlated Chern insulators in magic-angle twisted bilayer graphene journal December 2020
Atomic and electronic reconstruction at the van der Waals interface in twisted bilayer graphene journal April 2019
Band structure of A B C -stacked graphene trilayers journal July 2010
Signatures of tunable superconductivity in a trilayer graphene moiré superlattice journal July 2019
Electrode-Free Anodic Oxidation Nanolithography of Low-Dimensional Materials journal November 2018
Composite fermions and broken symmetries in graphene journal January 2015
Cleaning interfaces in layered materials heterostructures journal December 2018
Competition between spontaneous symmetry breaking and single-particle gaps in trilayer graphene journal December 2014
Twisted bilayer graphene aligned with hexagonal boron nitride: Anomalous Hall effect and a lattice model journal November 2019
Berry phase effects on electronic properties journal July 2010
Fractional quantum Hall effect in topological flat bands with Chern number two journal November 2012
Band Structure of ABC-Stacked Graphene Trilayers text January 2010
Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems text January 2010
Spin and valley quantum Hall ferromagnetism in graphene text January 2012
Cloning of Dirac fermions in graphene superlattices text January 2012
Transport studies of dual-gated ABC and ABA trilayer graphene: band gap opening and band structure tuning in very large perpendicular electric field text January 2013
Topological Flat Band Models and Fractional Chern Insulators text January 2013
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator text January 2016
Atomic and electronic reconstruction at van der Waals interface in twisted bilayer graphene text January 2018

Cited By (2)

Correlated states in twisted double bilayer graphene journal March 2020
Correlated states in twisted double bilayer graphene text January 2019