Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Extended quantum anomalous Hall states in graphene/hBN moiré superlattices

Journal Article · · Nature (London)
Electrons in topological flat bands can form new topological states driven by correlation effects. The pentalayer rhombohedral graphene/hexagonal boron nitride (hBN) moiré superlattice was shown to host fractional quantum anomalous Hall effect (FQAHE) at approximately 400 mK, triggering discussions around the underlying mechanism and role of moiré effects. In particular, new electron crystal states with non-trivial topology have been proposed. Here, in this paper, we report electrical transport measurements in rhombohedral pentalayer and tetralayer graphene/hBN moiré superlattices at electronic temperatures down to below 40 mK. We observed two more fractional quantum anomalous Hall (FQAH) states and smaller Rxx values in pentalayer devices than those previously reported. In the new tetralayer device, we observed FQAHE at moiré filling factors v = 3/5 and 2/3. With a small current at the base temperature, we observed a new extended quantum anomalous Hall (EQAH) state and magnetic hysteresis, where Rxy = h/e2 and vanishing Rxx spans a wide range of v from 0.5 to 1.3. At increased temperature or current, EQAH states disappear and partially transition into the FQAH liquid. Furthermore, we observed displacement field-induced quantum phase transitions from the EQAH states to the Fermi liquid, FQAH liquid and the likely composite Fermi liquid. Our observations established a new topological phase of electrons with quantized Hall resistance at zero magnetic field and enriched the emergent quantum phenomena in materials with topological flat bands.
Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
Grant/Contract Number:
SC0025325; SC0025325
OSTI ID:
2569394
Report Number(s):
DOELongJu25325Extended
Journal Information:
Nature (London), Journal Name: Nature (London) Journal Issue: 8048 Vol. 637; ISSN 1476-4687; ISSN 0028-0836
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (71)

Imaging Stacking Order in Few-Layer Graphene journal January 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
Topological valley transport at bilayer graphene domain walls journal April 2015
Competition between spontaneous symmetry breaking and single-particle gaps in trilayer graphene journal December 2014
Stacking-dependent band gap and quantum transport in trilayer graphene journal September 2011
The experimental observation of quantum Hall effect of l=3 chiral quasiparticles in trilayer graphene journal September 2011
Layer-polarized ferromagnetism in rhombohedral multilayer graphene journal March 2024
Competing correlated states around the zero-field Wigner crystallization transition of electrons in two dimensions journal December 2021
Correlated insulator and Chern insulators in pentalayer rhombohedral-stacked graphene journal October 2023
Spontaneous broken-symmetry insulator and metals in tetralayer rhombohedral graphene journal November 2023
Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice journal January 2019
Solids of quantum Hall skyrmions in graphene journal December 2019
Signatures of tunable superconductivity in a trilayer graphene moiré superlattice journal July 2019
Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice journal March 2020
Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices journal March 2020
Electronic phase separation in multilayer rhombohedral graphite journal August 2020
Correlated insulating states at fractional fillings of moiré superlattices journal November 2020
Bilayer Wigner crystals in a transition metal dichalcogenide heterostructure journal June 2021
Signatures of Wigner crystal of electrons in a monolayer semiconductor journal June 2021
Superconductivity in rhombohedral trilayer graphene journal September 2021
Half- and quarter-metals in rhombohedral trilayer graphene journal September 2021
Quantum cascade of correlated phases in trigonally warped bilayer graphene journal August 2022
Observation of fractionally quantized anomalous Hall effect journal August 2023
Orbital multiferroicity in pentalayer rhombohedral graphene journal October 2023
Fractional quantum anomalous Hall effect in multilayer graphene journal February 2024
Direct observation of a magnetic-field-induced Wigner crystal journal April 2024
Two-dimensional magneto-quantum transport on GaAs-Al x Ga 1-x As heterostructures under non-ohmic conditions journal October 1983
Large tunable intrinsic gap in rhombohedral-stacked tetralayer graphene at half filling journal August 2018
Intertwined fractional quantum anomalous Hall states and charge density waves journal March 2024
Fractional Chern insulator states in multilayer graphene moiré superlattices journal August 2024
Anomalous Hall crystals in rhombohedral multilayer graphene. II. General mechanism and a minimal model journal November 2024
Stability of anomalous Hall crystals in multilayer rhombohedral graphene journal November 2024
Crystallization of the incompressible quantum-fluid state of a two-dimensional electron gas in a strong magnetic field journal July 1984
Liquid-solid transition and the fractional quantum-Hall effect journal July 1984
Cooperative ring exchange and the fractional quantum Hall effect journal July 1987
‘‘Hall crystal’’ versus Wigner crystal journal April 1989
Global phase diagram in the quantum Hall effect journal July 1992
Heat instability of quantum Hall conductors journal January 2000
Gate-induced interlayer asymmetry in ABA-stacked trilayer graphene journal March 2009
Band structure of A B C -stacked graphene trilayers journal July 2010
Enhanced optical conductivity induced by surface states in ABC-stacked few-layer graphene journal June 2011
Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect journal August 2018
Nonconventional Odd-Denominator Fractional Quantum Hall States in the Second Landau Level journal December 2010
Collective Nature of the Reentrant Integer Quantum Hall States in the Second Landau Level journal February 2012
Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level journal July 2012
Current-Driven Instability of the Quantum Anomalous Hall Effect in Ferromagnetic Topological Insulators journal July 2017
Competing Fractional Quantum Hall and Electron Solid Phases in Graphene journal January 2019
Moving Crystal Phases of a Quantum Wigner Solid in an Ultra-High-Quality 2D Electron System journal December 2023
Sublattice Structure and Topology in Spontaneously Crystallized Electronic States journal June 2024
Quantum Anomalous Hall Crystal at Fractional Filling of Moiré Superlattices journal August 2024
Theory of Quantum Anomalous Hall Phases in Pentalayer Rhombohedral Graphene Moiré Structures journal November 2024
Anomalous Hall Crystals in Rhombohedral Multilayer Graphene. I. Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field journal November 2024
Fractional Quantum Anomalous Hall Effect in Rhombohedral Multilayer Graphene in the Moiréless Limit journal November 2024
Evidence for a Liquid-to-Crystal Phase Transition in a Classical, Two-Dimensional Sheet of Electrons journal March 1979
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations journal May 1983
Compatibility of Crystalline Order and the Quantized Hall Effect journal August 1986
Observation of a Magnetically Induced Wigner Solid journal June 1988
Quantum liquid versus electron solid around ν=1/5 Landau-level filling journal July 1990
Observation of a reentrant insulating phase near the 1/3 fractional quantum Hall liquid in a two-dimensional hole system journal February 1992
Insulating and Fractional Quantum Hall States in the First Excited Landau Level journal January 2002
Transition from an Electron Solid to the Sequence of Fractional Quantum Hall States at Very Low Landau Level Filling Factor journal April 2002
Observation of Narrow-Band Noise Accompanying the Breakdown of Insulating States in High Landau Levels journal June 2003
Electron Correlation in the Second Landau Level: A Competition Between Many Nearly Degenerate Quantum Phases journal October 2004
Evidence for Two Different Solid Phases of Two-Dimensional Electrons in High Magnetic Fields journal November 2004
Wigner Crystallization in(DI−DCNQI)2AgDetected by Synchrotron Radiation X-Ray Diffraction journal February 2007
Parent Berry Curvature and the Ideal Anomalous Hall Crystal journal November 2024
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator journal March 2013
The Fractional Quantum Hall Effect journal June 1990
Intrinsic quantized anomalous Hall effect in a moiré heterostructure journal December 2019
Observation of a Chern insulator in crystalline ABCA-tetralayer graphene with spin-orbit coupling journal April 2024
Large quantum anomalous Hall effect in spin-orbit proximitized rhombohedral graphene journal May 2024

Similar Records

Signatures of chiral superconductivity in rhombohedral graphene
Journal Article · Thu May 22 00:00:00 EDT 2025 · Nature (London) · OSTI ID:2571086

Anomalous Hall Crystals in Rhombohedral Multilayer Graphene. I. Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
Journal Article · Mon Nov 11 23:00:00 EST 2024 · Physical Review Letters · OSTI ID:2497763