skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Cascade of electronic transitions in magic-angle twisted bilayer graphene

Journal Article · · Nature (London)
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5];  [5]; ORCiD logo [2]; ORCiD logo [1]
  1. Princeton Univ., NJ (United States). Joseph Henry Laboratories
  2. Princeton Univ., NJ (United States). Princeton Center for Theoretical Science
  3. Princeton Univ., NJ (United States). Joseph Henry Laboratories; Harvard Univ., Cambridge, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  4. Princeton Univ., NJ (United States). Joseph Henry Laboratories; Chung-Ang Univ., Seoul (Korea, Republic of)
  5. National Institute for Material Science, Tsukuba (Japan)

Magic-angle twisted bilayer graphene exhibits a variety of electronic states, including correlated insulators, superconductors and topological phases. Understanding the microscopic mechanisms responsible for these phases requires determination of the interplay between electron–electron interactions and quantum degeneracy (the latter is due to spin and valley degrees of freedom). Signatures of strong electron–electron correlations have been observed at partial fillings of the flat electronic bands in recent spectroscopic measurements, and transport experiments have shown changes in the Landau level degeneracy at fillings corresponding to an integer number of electrons per moiré unit cell. However, the interplay between interaction effects and the degeneracy of the system is currently unclear. Here in this paper we report a cascade of transitions in the spectroscopic properties of magic-angle twisted bilayer graphene as a function of electron filling, determined using high-resolution scanning tunnelling microscopy. We find distinct changes in the chemical potential and a rearrangement of the low-energy excitations at each integer filling of the moiré flat bands. These spectroscopic features are a direct consequence of Coulomb interactions, which split the degenerate flat bands into Hubbard sub-bands. We find these interactions, the strength of which we can extract experimentally, to be surprisingly sensitive to the presence of a perpendicular magnetic field, which strongly modifies the spectroscopic transitions. The cascade of transitions that we report here characterizes the correlated high-temperature parent phase from which various insulating and superconducting ground-state phases emerge at low temperatures in magic-angle twisted bilayer graphene.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Gordon and Betty Moore Foundation (GBMF); Princeton University; National Science Foundation (NSF)
Grant/Contract Number:
FG02-07ER46419; SC0016239; DMR12-1643312
OSTI ID:
1780896
Journal Information:
Nature (London), Vol. 582, Issue 7811; ISSN 0028-0836
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (34)

Unraveling the Intrinsic and Robust Nature of van Hove Singularities in Twisted Bilayer Graphene by Scanning Tunneling Microscopy and Theoretical Analysis journal November 2012
Twist-angle sensitivity of electron correlations in moiré graphene bilayers journal September 2019
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene journal October 2019
Unconventional superconductivity in magic-angle graphene superlattices journal March 2018
Intrinsic quantized anomalous Hall effect in a moiré heterostructure journal December 2019
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene journal July 2019
Pseudo Landau level representation of twisted bilayer graphene: Band topology and implications on the correlated insulating phase journal April 2019
Electronic correlations in twisted bilayer graphene near the magic angle journal August 2019
Nanoscale Control of Rewriteable Doping Patterns in Pristine Graphene/Boron Nitride Heterostructures journal February 2016
Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice journal March 2020
Exact continuum model for low-energy electronic states of twisted bilayer graphene journal August 2019
Maximized electron interactions at the magic angle in twisted bilayer graphene journal July 2019
Large linear-in-temperature resistivity in twisted bilayer graphene journal August 2019
Self-navigation of a scanning tunneling microscope tip toward a micron-sized graphene sample journal July 2011
Moire bands in twisted double-layer graphene journal July 2011
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal March 2018
A modular ultra-high vacuum millikelvin scanning tunneling microscope journal February 2020
Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene journal October 2015
Author Correction: Tunable correlated states and spin-polarized phases in twisted bilayer–bilayer graphene journal July 2020
van der Waals Heterostructures with High Accuracy Rotational Alignment journal February 2016
Tuning superconductivity in twisted bilayer graphene journal January 2019
Signatures of tunable superconductivity in a trilayer graphene moiré superlattice journal July 2019
Correlated states in twisted double bilayer graphene journal March 2020
Strong Coupling Phases of Partially Filled Twisted Bilayer Graphene Narrow Bands journal June 2019
Reliable Exfoliation of Large-Area High-Quality Flakes of Graphene and Other Two-Dimensional Materials journal September 2015
Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene journal July 2019
Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene journal July 2019
Twisted bilayer graphene aligned with hexagonal boron nitride: Anomalous Hall effect and a lattice model journal November 2019
Giant phonon-induced conductance in scanning tunnelling spectroscopy of gate-tunable graphene journal July 2008
Observation of Van Hove singularities in twisted graphene layers journal November 2009
Mechanism for Anomalous Hall Ferromagnetism in Twisted Bilayer Graphene journal April 2020
Nature of the Correlated Insulator States in Twisted Bilayer Graphene journal March 2020
Strange Metal in Magic-Angle Graphene with near Planckian Dissipation journal February 2020
Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene journal September 2018