2000 character limit reached
Topological flat bands in a family of multilayer graphene moiré lattices
Published 9 May 2024 in cond-mat.mes-hall and cond-mat.mtrl-sci | (2405.05913v1)
Abstract: Moir\'e materials host a wealth of intertwined correlated and topological states of matter, all arising from flat electronic bands with nontrivial quantum geometry. A prominent example is the family of alternating-twist magic-angle graphene stacks, which exhibit symmetry-broken states at rational fillings of the moir\'e band and superconductivity close to half filling. Here, we introduce a second family of twisted graphene multilayers made up of twisted sheets of $M$- and $N$-layer Bernal-stacked graphene flakes. Calculations indicate that applying an electric displacement field isolates a flat and topological moir\'e conduction band that is primarily localized to a single graphene sheet below the moir\'e interface. Phenomenologically, the result is a striking similarity in the hierarchies of symmetry-broken phases across this family of twisted graphene multilayers. Our results show that this family of structures offers promising new opportunities for the discovery of exotic new correlated and topological phenomena, enabled by using the layer number to fine tune the flat moir\'e band and its screening environment.
- Superconductivity and strong correlations in moiré flat bands. Nature Physics 16, 725–733 (2020).
- Graphene bilayers with a twist. Nature Materials 19, 1265–1275 (2020).
- Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene. Nature 590, 249–255 (2021).
- Hao, Z. et al. Electric field tunable superconductivity in alternating-twist magic-angle trilayer graphene. Science 371, 1133–1138 (2021).
- Park, J. M. et al. Robust superconductivity in magic-angle multilayer graphene family. Nature Materials 21, 877–883 (2022).
- Burg, G. W. et al. Emergence of correlations in alternating twist quadrilayer graphene. Nature Materials 21, 884–889 (2022).
- Zhang, Y. et al. Promotion of superconductivity in magic-angle graphene multilayers. Science 377, 1538–1543 (2022).
- Moiré bands in twisted double-layer graphene. Proceedings of the National Academy of Sciences 108, 12233–12237 (2011).
- Flat bands in slightly twisted bilayer graphene: Tight-binding calculations. Phys. Rev. B 82, 121407 (2010).
- Cao, Y. et al. Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature 556, 80–84 (2018).
- Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018).
- Lu, X. et al. Superconductors, orbital magnets, and correlated states in magic angle bilayer graphene. Nature 574, 653–657 (2019).
- Yankowitz, M. et al. Tuning superconductivity in twisted bilayer graphene. Science 363, 1059–1064 (2019).
- Chen, S. et al. Electrically tunable correlated and topological states in twisted monolayer–bilayer graphene. Nature Physics 17, 374–380 (2021).
- Polshyn, H. et al. Electrical switching of magnetic order in an orbital Chern insulator. Nature 588, 66–70 (2020).
- Shi, Y. et al. Tunable van Hove singularities and correlated states in twisted monolayer-bilayer graphene. Nature Physics 17, 619–626 (2021).
- He, M. et al. Competing correlated states and abundant orbital magnetism in twisted monolayer-bilayer graphene. Nature Communications 12, 4727 (2021).
- Burg, G. W. et al. Correlated insulating states in twisted double bilayer graphene. Physical Review Letters 123, 197702 (2019).
- Shen, C. et al. Correlated states in twisted double bilayer graphene. Nature Physics 16, 520–525 (2020).
- Liu, X. et al. Tunable spin-polarized correlated states in twisted double bilayer graphene. Nature 583, 221–225 (2020).
- Cao, Y. et al. Tunable correlated states and spin-polarized phases in twisted bilayer–bilayer graphene. Nature 583, 215–220 (2020).
- He, M. et al. Symmetry breaking in twisted double bilayer graphene. Nature Physics 17, 26–30 (2021).
- Kuiri, M. et al. Spontaneous time-reversal symmetry breaking in twisted double bilayer graphene. Nature Communications 13, 6468 (2022).
- Liu, L. et al. Isospin competitions and valley polarized correlated insulators in twisted double bilayer graphene. Nature Communications 13, 3292 (2022).
- Liu, L. et al. Observation of first-order quantum phase transitions and ferromagnetism in twisted double bilayer graphene. Phys. Rev. X 13, 031015 (2023).
- Goodwin, Z. A. H. et al. Flat bands, electron interactions, and magnetic order in magic-angle mono-trilayer graphene. Phys. Rev. Mater. 5, 084008 (2021).
- From graphene to graphite: Electronic structure around the k𝑘kitalic_k point. Phys. Rev. B 74, 075404 (2006).
- Waters, D. et al. Mixed-dimensional moiré systems of twisted graphitic thin films. Nature 620, 750–755 (2023).
- Local compressibility measurements of correlated states in suspended bilayer graphene. Phys. Rev. Lett. 105, 256806 (2010).
- Broken-symmetry states in doubly gated suspended bilayer graphene. Science 330, 812–816 (2010).
- Mayorov, A. S. et al. Interaction-driven spectrum reconstruction in bilayer graphene. Science 333, 860–863 (2011).
- Velasco, J. et al. Transport spectroscopy of symmetry-broken insulating states in bilayer graphene. Nature Nanotechnology 7, 156–160 (2012).
- Bao, W. et al. Stacking-dependent band gap and quantum transport in trilayer graphene. Nature Physics 7, 948–952 (2011).
- Shi, Y. et al. Electronic phase separation in multilayer rhombohedral graphite. Nature 584, 210–214 (2020).
- Liu, K. et al. Spontaneous broken-symmetry insulator and metals in tetralayer rhombohedral graphene. Nature Nanotechnology 19, 188–195 (2024).
- Han, T. et al. Correlated insulator and Chern insulators in pentalayer rhombohedral-stacked graphene. Nature Nanotechnology 19, 181–187 (2024).
- Grover, S. et al. Chern mosaic and Berry-curvature magnetism in magic-angle graphene. Nature Physics 18, 885–892 (2022).
- Cai, J. et al. Signatures of fractional quantum anomalous Hall states in twisted MoTe2. Nature 622, 63–68 (2023).
- Park, H. et al. Observation of fractionally quantized anomalous Hall effect. Nature 622, 74–79 (2023).
- Zeng, Y. et al. Thermodynamic evidence of fractional Chern insulator in moiré MoTe2. Nature 622, 69–73 (2023).
- Rickhaus, P. et al. Gap opening in twisted double bilayer graphene by crystal fields. Nano Letters 19, 8821–8828 (2019).
- Li, H. et al. Electrode-free anodic oxidation nanolithography of low-dimensional materials. Nano Letters 18, 8011–8015 (2018).
- Chen, G. et al. Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice. Nature Physics 15, 237–241 (2019).
- Independent superconductors and correlated insulators in twisted bilayer graphene. Nature Physics 16, 926–930 (2020).
- Wang, L. et al. One-dimensional electrical contact to a two-dimensional material. Science 342, 614–617 (2013).
- Superconductivity in rhombohedral trilayer graphene. Nature 598, 434–438 (2021).
- He, M. et al. Symmetry-broken Chern insulators in twisted double bilayer graphene. Nano Letters 23, 11066–11072 (2023).
- Ju, L. et al. Topological valley transport at bilayer graphene domain walls. Nature 520, 650–655 (2015).
- Shi, Y. et al. Tunable Lifshitz transitions and multiband transport in tetralayer graphene. Phys. Rev. Lett. 120, 096802 (2018).
- Strong coupling theory of magic-angle graphene: A pedagogical introduction. Annals of Physics 435, 168646 (2021).
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