Imaging the many-body wavefunctions in magic-angle graphene

ORAL

Abstract

Magic-angle twisted bilayer graphene (MATBG) hosts a set of flat electronic bands that produce a wide variety of correlated ground states including superconductors, correlated insulators, and magnetic topological phases. Our understanding of these phases has thus far been hampered by the lack of microscopic, atomic-scale information on them. In this talk, I will discuss how we use high-resolution scanning tunneling microscopy (STM) measurements to study the wavefunctions of these correlated phases. STM images reveal distinct symmetry-breaking patterns with a sqrt(3) x sqrt(3) superperiodicity on the graphene atomic lattice. To understand these patterns, we develop a symmetry-based analysis to visualize the images in terms of a set of complex-valued order parameters. At the correlated insulators at fillings ±2 electrons per moiré unit cell, comparison with theoretical candidates reveals a close match with the proposed incommensurate Kekulé spiral order in samples with typical values of interlayer strain, while in ultralow-strain samples, our data have local symmetries resembling the time-reversal symmetric intervalley coherent phase. These symmetry-based techniques can be further applied to other phases in MATBG, graphene systems, and potentially other material systems.

*This work was primarily supported by the Gordon and Betty Moore Foundation's EPiQS initiative grants GBMF9469 and DOE-BES grant DE-FG02-07ER46419 to A.Y. Other support for the experimental work was provided by NSF-MRSEC through the Princeton Center for Complex Materials NSF-DMR- 2011750, NSF-DMR-1904442, ARO MURI (W911NF-21-2-0147) and ONR N00012-21-1-2592. K.W. and T.T. acknowledge support from the Elemental Strategy Initiative conducted by the MEXT, Japan, grant JPMXP0112101001, JSPS KAKENHI grants 19H05790 and JP20H00354.

Publication: Nuckolls, K.P., Lee, R.L., Oh, M. et al. Quantum textures of the many-body wavefunctions in magic-angle graphene. Nature 620, 525–532 (2023). https://doi.org/10.1038/s41586-023-06226-x

Presenters

  • Ryan L Lee

    • Princeton University

Authors

  • Ryan L Lee

    • Princeton University
  • Kevin P Nuckolls

    • Massachusetts Institute of Technology
  • Myungchul Oh

    • Princeton University
    • Pohang University of Science and Technology
  • Dillon Wong

    • Princeton University
  • Tomohiro Soejima

    • Harvard University; IBM Quantum, Almaden Research Center
    • Harvard University
  • Jung Pyo Hong

    • Princeton University
  • Dumitru Calugaru

    • Princeton University
  • Jonah Herzog-Arbeitman

    • Princeton University
  • Andrei B Bernevig

    • Princeton University
  • Kenji Watanabe

    • National Institute for Materials Science
    • NIMS
    • Research Center for Electronic and Optical Materials, National Institute for Materials Science
    • Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
    • National Institute for Material Science
  • Takashi Taniguchi

    • Kyoto Univ
    • National Institute for Materials Science
    • Research Center for Materials Nanoarchitectonics
    • Research Center for Materials Nanoarchitectonics, National Institute for Materials Science
    • National Institute for Materials Sciences
    • NIMS
    • International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
    • National Institute for Material Science
    • International Center for Materials Nanoarchitectonics, NIMS, Japan
    • International Center for Materials Nanoarchitectonics, Tsukuba
    • National Institue for Materials Science
    • Kyoto University
    • National Institute of Materials Science
    • International Center for Materials Nanoarchitectonics and National Institute for Materials Science
  • Nicolas Regnault

    • Princeton University
  • Michael P Zaletel

    • University of California, Berkeley
    • University of Berkerley
    • UC Berkeley
  • Ali Yazdani

    • Princeton University