Correlation-driven topological phases in magic-angle twisted bilayer graphene.
Journal
Nature
ISSN: 1476-4687
Titre abrégé: Nature
Pays: England
ID NLM: 0410462
Informations de publication
Date de publication:
01 2021
01 2021
Historique:
received:
21
08
2020
accepted:
13
11
2020
pubmed:
20
1
2021
medline:
20
1
2021
entrez:
19
1
2021
Statut:
ppublish
Résumé
Magic-angle twisted bilayer graphene (MATBG) exhibits a range of correlated phenomena that originate from strong electron-electron interactions. These interactions make the Fermi surface highly susceptible to reconstruction when ±1, ±2 and ±3 electrons occupy each moiré unit cell, and lead to the formation of various correlated phases
Identifiants
pubmed: 33462504
doi: 10.1038/s41586-020-03159-7
pii: 10.1038/s41586-020-03159-7
doi:
Types de publication
Journal Article
Research Support, U.S. Gov't, Non-P.H.S.
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
536-541Références
Cao, Y. et al. Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature 556, 80–84 (2018).
doi: 10.1038/nature26154
Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018).
doi: 10.1038/nature26160
Yankowitz, M. et al. Tuning superconductivity in twisted bilayer graphene. Science 363, 1059–1064 (2019).
doi: 10.1126/science.aav1910
Lu, X. et al. Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene. Nature 574, 653–657 (2019).
doi: 10.1038/s41586-019-1695-0
Sharpe, A. L. et al. Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene. Science 365, 605–608 (2019).
pubmed: 31346139
Serlin, M. et al. Intrinsic quantized anomalous Hall effect in a moiré heterostructure. Science 367, 900–903 (2019).
doi: 10.1126/science.aay5533
Zondiner, U. et al. Cascade of phase transitions and Dirac revivals in magic-angle graphene. Nature 582, 203–208 (2020).
doi: 10.1038/s41586-020-2373-y
Wong, D. et al. Cascade of transitions between the correlated electronic states of magic-angle twisted bilayer graphene. Nature 582, 198–202 (2020).
doi: 10.1038/s41586-020-2339-0
Lopes dos Santos, J. M. B., Peres, N. M. R. & Castro Neto, A. H. Graphene bilayer with a twist: electronic structure. Phys. Rev. Lett. 99, 256802 (2007).
doi: 10.1103/PhysRevLett.99.256802
Bistritzer, R. & MacDonald, A. H. Moiré bands in twisted double-layer graphene. Proc. Natl Acad. Sci. USA 108, 12233–12237 (2011).
doi: 10.1073/pnas.1108174108
Hunt, B. et al. Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure. Science 340, 1427–1430 (2013).
doi: 10.1126/science.1237240
Ponomarenko, L. A. et al. Cloning of Dirac fermions in graphene superlattices. Nature 497, 594–597 (2013).
doi: 10.1038/nature12187
Dean, C. R. et al. Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices. Nature 497, 598–602 (2013).
doi: 10.1038/nature12186
Wang, L. et al. Evidence for a fractional fractal quantum Hall effect in graphene superlattices. Science 350, 1231–1234 (2015).
doi: 10.1126/science.aad2102
Hofstadter, D. R. Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields. Phys. Rev. B 14, 2239–2249 (1976).
doi: 10.1103/PhysRevB.14.2239
Bistritzer, R. & MacDonald, A. H. Moiré butterflies in twisted bilayer graphene. Phys. Rev. B 84, 035440 (2011).
doi: 10.1103/PhysRevB.84.035440
Arora, H. S. et al. Superconductivity in metallic twisted bilayer graphene stabilized by WSe
doi: 10.1038/s41586-020-2473-8
Brihuega, I. et al. Unraveling the intrinsic and robust nature of van Hove singularities in twisted bilayer graphene by scanning tunneling microscopy and theoretical analysis. Phys. Rev. Lett. 109, 196802 (2012).
doi: 10.1103/PhysRevLett.109.196802
Kerelsky, A. et al. Maximized electron interactions at the magic angle in twisted bilayer graphene. Nature 572, 95–100 (2019).
doi: 10.1038/s41586-019-1431-9
Choi, Y. et al. Electronic correlations in twisted bilayer graphene near the magic angle. Nat. Phys. 15, 1174–1180 (2019); author correction 15, 1205 (2019).
doi: 10.1038/s41567-019-0606-5
Xie, Y. et al. Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene. Nature 572, 101–105 (2019).
doi: 10.1038/s41586-019-1422-x
Jiang, Y. et al. Charge order and broken rotational symmetry in magic-angle twisted bilayer graphene. Nature 573, 91–95 (2019).
doi: 10.1038/s41586-019-1460-4
Jung, S. et al. Evolution of microscopic localization in graphene in a magnetic field from scattering resonances to quantum dots. Nat. Phys. 7, 245–251 (2011).
doi: 10.1038/nphys1866
Po, H. C., Zou, L., Senthil, T. & Vishwanath, A. Faithful tight-binding models and fragile topology of magic-angle bilayer graphene. Phys. Rev. B 99, 195455 (2019).
doi: 10.1103/PhysRevB.99.195455
Uri, A. et al. Mapping the twist-angle disorder and Landau levels in magic-angle graphene. Nature 581, 47–52 (2020).
doi: 10.1038/s41586-020-2255-3
Saito, Y. et al. Hofstadter subband ferromagnetism and symmetry broken Chern insulators in twisted bilayer graphene. Preprint at https://arxiv.org/abs/2007.06115 (2020).
Wu, S., Zhang, Z., Watanabe, K., Taniguchi, T. & Andrei, E. Y. Chern insulators and topological flat-bands in magic-angle twisted bilayer graphene. Preprint at https://arxiv.org/abs/2007.03735 (2020).
Das, I. et al. Symmetry broken Chern insulators and magic series of Rashba-like Landau level crossings in magic angle bilayer graphene. Preprint at https://arxiv.org/abs/2007.13390 (2020).
Wannier, G. H. A result not dependent on rationality for Bloch electrons in a magnetic field. Phys. Stat. Sol. B 88, 757–765 (1978).
doi: 10.1002/pssb.2220880243
Guinea, F. & Walet, N. R. Electrostatic effects, band distortions, and superconductivity in twisted graphene bilayers. Proc. Natl Acad. Sci. USA 115, 13174–13179 (2018).
doi: 10.1073/pnas.1810947115
Goodwin, Z. A. H., Vitale, V., Liang, X., Mostofi, A. A. & Lischner, J. Hartree theory calculations of quasiparticle properties in twisted bilayer graphene. Electron. Struct. 2, 034001 (2020).
Xie, M. & MacDonald, A. H. Nature of the correlated insulator states in twisted bilayer graphene. Phys. Rev. Lett. 124, 097601 (2020).
doi: 10.1103/PhysRevLett.124.097601
Bi, Z., Yuan, N. F. Q. & Fu, L. Designing flat bands by strain. Phys. Rev. B 100, 035448 (2019).
doi: 10.1103/PhysRevB.100.035448
Nam, N. N. T. & Koshino, M. Lattice relaxation and energy band modulation in twisted bilayer graphene. Phys. Rev. B 96, 075311 (2017).
doi: 10.1103/PhysRevB.96.075311
Hejazi, K., Liu, C. & Balents, L. Landau levels in twisted bilayer graphene and semiclassical orbits. Phys. Rev. B 100, 035115 (2019).
doi: 10.1103/PhysRevB.100.035115
Zhang, Y.-H., Po, H. C. & Senthil, T. Landau level degeneracy in twisted bilayer graphene: role of symmetry breaking. Phys. Rev. B 100, 125104 (2019).
doi: 10.1103/PhysRevB.100.125104
Carr, S., Fang, S., Po, H. C., Vishwanath, A. & Kaxiras, E. Derivation of Wannier orbitals and minimal-basis tight-binding Hamiltonians for twisted bilayer graphene: first-principles approach. Phys. Rev. Res. 1, 033072 (2019).
doi: 10.1103/PhysRevResearch.1.033072
Nuckolls, K. P. et al. Strongly correlated Chern insulators in magic-angle twisted bilayer graphene. Nature 588, 610–615 (2020).
Walkup, D. et al. Tuning single-electron charging and interactions between compressible Landau level islands in graphene. Phys. Rev. B 101, 035428 (2020).
doi: 10.1103/PhysRevB.101.035428
Wang, T., Bultinck, N. & Zaletel, M. P. Flat band topology of magic angle graphene on a transition metal dichalcogenide. Phys. Rev. B 102, 235146 (2020).
Yin, J.-X. et al. Quantum-limit Chern topological magnetism in TbMn
doi: 10.1038/s41586-020-2482-7
Gusynin, V. P. & Sharapov, S. G. Unconventional integer quantum Hall effect in graphene. Phys. Rev. Lett. 95, 146801 (2005).
doi: 10.1103/PhysRevLett.95.146801
Hatsugai, Y., Fukui, T. & Aoki, H. Topological aspects of graphene. Eur. Phys. J. Spec. Top. 148, 133–141 (2007).
doi: 10.1140/epjst/e2007-00233-5