Layer-dependent evolution of digital buildings and correlations in rhombohedral multilayer graphene

Layer-dependent evolution of digital buildings and correlations in rhombohedral multilayer graphene


  • Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Liu, X. et al. Tunable spin-polarized correlated states in twisted double bilayer graphene. Nature 583, 221–225 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Hao, Z. et al. Electrical field-tunable superconductivity in alternating-twist magic-angle trilayer graphene. Science 371, 1133–1138 (2021).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Tong, L.-H. et al. Spectroscopic visualization of flat bands in magic-angle twisted monolayer–bilayer graphene: coexistence of localization and delocalization. Phys. Rev. Lett. 128, 126401 (2022).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Bistritzer, R. & MacDonald, A. H. Moire bands in twisted double-layer graphene. Proc. Natl Acad. Sci. USA 108, 12233–12237 (2011).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Cao, Y. et al. Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature 556, 80–84 (2018).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Sharpe, A. L. et al. Emergent ferromagnetism close to three-quarters filling in twisted bilayer graphene. Science 365, 605–608 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Lu, X. et al. Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene. Nature 574, 653–657 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Cao, Y. et al. Tunable correlated states and spin-polarized phases in twisted bilayer–bilayer graphene. Nature 583, 215–220 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Park, J. M., Cao, Y., Watanabe, Okay., Taniguchi, T. & Jarillo-Herrero, P. Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene. Nature 590, 249–255 (2021).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Polshyn, H. et al. Electrical switching of magnetic order in an orbital Chern insulator. Nature 588, 66–70 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Xu, S. et al. Tunable van Hove singularities and correlated states in twisted monolayer–bilayer graphene. Nat. Phys. 17, 619–626 (2021).

    Article 
    CAS 

    Google Scholar
     

  • Chen, S. et al. Electrically tunable correlated and topological states in twisted monolayer–bilayer graphene. Nat. Phys. 16, 520–525 (2020).

    Article 
    CAS 

    Google Scholar
     

  • Chen, G. et al. Signatures of tunable superconductivity in a trilayer graphene moiré superlattice. Nature 572, 215–219 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Chen, G. et al. Proof of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice. Nat. Phys. 15, 237–241 (2019).

    Article 
    CAS 

    Google Scholar
     

  • Chen, G. et al. Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice. Nature 579, 56–61 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Yang, J. et al. Spectroscopy signatures of electron correlations in a trilayer graphene/hBN moiré superlattice. Science 375, 6586 (2022).

    Article 

    Google Scholar
     

  • Regan, E. C. et al. Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices. Nature 579, 359–363 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Wang, L. et al. Correlated digital phases in twisted bilayer transition steel dichalcogenides. Nat. Mater. 19, 861–866 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Olsen, R., van Gelderen, R. & Smith, C. M. Ferromagnetism in ABC-stacked trilayer graphene. Phys. Rev. B 87, 115414 (2013).

    Article 

    Google Scholar
     

  • Kopnin, N. B., Ijäs, M., Harju, A. & Heikkilä, T. T. Excessive-temperature floor superconductivity in rhombohedral graphite. Phys. Rev. B 87, 140503(R) (2013).

    Article 

    Google Scholar
     

  • Wang, H., Gao, J.-H. & Zhang, F.-C. Flat band electrons and interactions in rhombohedral trilayer graphene. Phys. Rev. B 87, 155116 (2013).

    Article 

    Google Scholar
     

  • Pierucci, D. et al. Proof for flat bands close to the Fermi degree in epitaxial rhombohedral multilayer graphene. ACS Nano 9, 5432–5439 (2015).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Henck, H. et al. Flat digital bands in lengthy sequences of rhombohedral-stacked graphene. Phys. Rev. B 97, 245421 (2018).

    Article 
    CAS 

    Google Scholar
     

  • Zhang, F., Sahu, B., Min, H. & MacDonald, A. H. Band construction of ABC-stacked graphene trilayers. Phys. Rev. B 82, 035409 (2010).

    Article 

    Google Scholar
     

  • Muten, J. H., Copeland, A. J. & McCann, E. Trade interplay, dysfunction, and stacking faults in rhombohedral graphene multilayers. Phys. Rev. B 104, 035404 (2021).

    Article 
    CAS 

    Google Scholar
     

  • Pamuk, B., Baima, J., Mauri, F. & Calandra, M. Magnetic hole opening in rhombohedral-stacked multilayer graphene from first rules. Phys. Rev. B 95, 075422 (2017).

    Article 

    Google Scholar
     

  • Zhou, H., Xie, T., Taniguchi, T., Watanabe, Okay. & Younger, A. F. Superconductivity in rhombohedral trilayer graphene. Nature 598, 434–438 (2021).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Zhou, H. et al. Half- and quarter-metals in rhombohedral trilayer graphene. Nature 598, 429–433 (2021).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Hagymási, I. et al. Remark of competing, correlated floor states within the flat band of rhombohedral graphite. Sci. Adv. 8, eabo6879 (2022).

    Article 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Kerelsky, A. et al. Moiréless correlations in ABCA graphene. Proc. Natl Acad. Sci. USA 118, e2017366118 (2021).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Lee, Y. et al. Gate-tunable magnetism and large magnetoresistance in suspended rhombohedral-stacked few-layer graphene. Nano Lett. 22, 5094–5099 (2022).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Liu, Okay. et al. Spontaneous broken-symmetry insulator and metals in tetralayer rhombohedral graphene. Nat. Nanotechnol. 19, 188–195 (2023).

    Article 
    PubMed 

    Google Scholar
     

  • Han, T. et al. Correlated insulator and Chern insulators in pentalayer rhombohedral-stacked graphene. Nat. Nanotechnol. 19, 181–187 (2023).

    Article 
    PubMed 

    Google Scholar
     

  • Yin, L.-J. et al. Excessive-magnetic-field tunneling spectra of ABC-stacked trilayer graphene on graphite. Phys. Rev. Lett. 122, 146802 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Yin, L.-J. et al. Remark of chirality transition of quasiparticles at stacking solitons in trilayer graphene. Phys. Rev. B 95, 081402(R) (2017).

    Article 

    Google Scholar
     

  • Xu, R. et al. Direct probing of the stacking order and digital spectrum of rhombohedral trilayer graphene with scanning tunneling microscopy. Phys. Rev. B 91, 035410 (2015).

    Article 

    Google Scholar
     

  • Yin, L.-J. et al. Imaging of almost flat band induced atomic-scale destructive differential conductivity in ABC-stacked trilayer graphene. Phys. Rev. B 102, 241403(R) (2020).

    Article 

    Google Scholar
     

  • Yin, L.-J. et al. Imaging Friedel oscillations in rhombohedral trilayer graphene. Phys. Rev. B 107, L041404 (2023).

    Article 
    CAS 

    Google Scholar
     

  • Slizovskiy, S., McCann, E., Koshino, M. & Fal’ko, V. I. Movies of rhombohedral graphite as two-dimensional topological semimetals. Commun. Phys. 2, 164 (2019).

    Article 
    CAS 

    Google Scholar
     

  • McCann, E. & Koshino, M. The digital properties of bilayer graphene. Rep. Prog. Phys. 76, 056503 (2013).

    Article 
    PubMed 

    Google Scholar
     

  • Solar, D. et al. Spectroscopic measurement of interlayer screening in multilayer epitaxial graphene. Phys. Rev. Lett. 104, 136802 (2010).

    Article 
    PubMed 

    Google Scholar
     

  • Ohta, T. et al. Interlayer interplay and digital screening in multilayer graphene investigated with angle-resolved photoemission spectroscopy. Phys. Rev. Lett. 98, 206802 (2007).

    Article 
    PubMed 

    Google Scholar
     

  • Ohta, T., Bostwick, A., Seyller, T., Horn, Okay. & Rotenberg, E. Controlling the digital construction of bilayer graphene. Science 313, 951–954 (2006).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Ghahari, F. et al. An on/off Berry part change in round graphene resonators. Science 356, 845–849 (2017).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Zhang, J., Jiang, Y.-P., Ma, X.-C. & Xue, Q.-Okay. Berry-phase change in electrostatically confined topological floor states. Phys. Rev. Lett. 128, 126402 (2022).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Jiang, Y. et al. Cost order and damaged rotational symmetry in magic-angle twisted bilayer graphene. Nature 573, 91–95 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Kerelsky, A. et al. Maximized electron interactions on the magic angle in twisted bilayer graphene. Nature 572, 95–100 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Xie, Y. et al. Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene. Nature 572, 101–105 (2019).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Choi, Y. et al. Digital correlations in twisted bilayer graphene close to the magic angle. Nat. Phys. 15, 1174–1180 (2019).

    Article 
    CAS 

    Google Scholar
     

  • Shi, Y. et al. Digital part separation in multilayer rhombohedral graphite. Nature 584, 210–214 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Lee, Y. et al. Competitors between spontaneous symmetry breaking and single-particle gaps in trilayer graphene. Nat. Commun. 5, 5656 (2014).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Myhro, Okay. et al. Massive tunable intrinsic hole in rhombohedral-stacked tetralayer graphene at half filling. 2D Mater. 5, 045013 (2018).

    Article 
    CAS 

    Google Scholar
     

  • Huang, C. et al. Spin and orbital metallic magnetism in rhombohedral trilayer graphene. Phys. Rev. B 107, L121405 (2023).

    Article 
    CAS 

    Google Scholar
     

  • Leave a Reply

    Your email address will not be published. Required fields are marked *