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2020

Strain-induced quantum phase transitions in magic angle graphene

Parker, Daniel E., Soejima, Tomohiro, Hauschild, Johannes et al.

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We investigate the effect of uniaxial heterostrain on the interacting phase diagram of magic-angle twisted bilayer graphene.

Using both self-consistent Hartree-Fock and density-matrix renormalization group calculations, we find that small strain values ($\epsilon \sim 0.1 - 0.2 \%$) drive a zero-temperature phase transition between the symmetry-broken Kramers intervalley-coherent insulator and a nematic semi-metal.
The critical strain lies within the range of experimentally observed strain values, and we therefore predict that strain is at least partly responsible for the sample-dependent experimental observations.

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A. L. Sharpe, E. J. Fox, A. W. Barnard, J. Finney, K. Watanabe, T. Taniguchi, M. A. Kastner, and D. Goldhaber-Gordon, Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene, Science 365
Original
1901
Earlier work this paper cites.
N. D. Mermin and H. Wagner, Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic heisenberg models, Phys. Rev. Lett. 17
1966
Earlier work this paper cites.
P. C. Hohenberg, Existence of long-range order in one and two dimensions, Phys. Rev. 158
1967
Earlier work this paper cites.
H. Suzuura and T. Ando, Phonons and electron-phonon scattering in carbon nanotubes, Phys. Rev. B 65
2002
Earlier work this paper cites.
K.-i. Sasaki and R. Saito, Pseudospin and Deformation-Induced Gauge Field in Graphene, Progress of Theoretical Physics Supplement 176
2008
Earlier work this paper cites.
L. Tagliacozzo, T. R. de Oliveira, S. Iblisdir, and J. I. Latorre, Scaling of entanglement support for matrix product states, Phys. Rev. B 78
2008
Earlier work this paper cites.
F. Pollmann, S. Mukerjee, A. M. Turner, and J. E. Moore, Theory of finite-entanglement scaling at one-dimensional quantum critical points, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
E. Suárez Morell, J. D. Correa, P. Vargas, M. Pacheco, and Z. Barticevic, Flat bands in slightly twisted bilayer graphene: Tight-binding calculations, Phys. Rev. B 82
2010
Earlier work this paper cites.
R. Bistritzer and A. H. MacDonald, Moiré bands in twisted double-layer graphene, Proceedings of the National Academy of Sciences 108
2011
Earlier work this paper cites.
J. M. B. Lopes dos Santos, N. M. R. Peres, and A. H. Castro Neto, Continuum model of the twisted graphene bilayer, Phys. Rev. B 86
2012
Earlier work this paper cites.
B. Hunt, J. D. Sanchez-Yamagishi, A. F. Young, M. Yankowitz, B. J. LeRoy, K. Watanabe, T. Taniguchi, P. Moon, M. Koshino, P. Jarillo- Herrero, and R. C. Ashoori, Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure, Science 340
Original
2013
Earlier work this paper cites.
F. Amet, J. R. Williams, K. Watanabe, T. Taniguchi, and D. Goldhaber-Gordon, Insulating Behavior at the Neutrality Point in Single-Layer Graphene, Phys. Rev. Lett. 110
Original
2013
Earlier work this paper cites.
J. A. Kjäll, M. P. Zaletel, R. S. K. Mong, J. H. Bardarson, and F. Pollmann, Phase diagram of the anisotropic spin-2 xxz model: Infinite-system density matrix renormalization group study, Phys. Rev. B 87
2013
Earlier work this paper cites.
J. Jung, A. M. DaSilva, A. H. MacDonald, and S. Adam, Origin of band gaps in graphene on hexagonal boron nitride, Nature Communications 6
2015
Earlier work this paper cites.
N. N. T. Nam and M. Koshino, Lattice relaxation and energy band modulation in twisted bilayer graphene, Phys. Rev. B 96
2017
Earlier work this paper cites.
A. A. Zibrov, E. M. Spanton, H. Zhou, C. Kometter, T. Taniguchi, K. Watanabe, and A. F. Young, Even-denominator fractional quantum Hall states at an isospin transition in monolayer graphene, Nature Physics 14
Original
2018
Earlier work this paper cites.
M. Yankowitz, J. Jung, E. Laksono, N. Leconte, B. L. Chittari, K. Watanabe, T. Taniguchi, S. Adam, D. Graf, and C. R. Dean, Dynamic band-structure tuning of graphene moiré superlattices with pressure, Nature (London) 557
Original
2018
Earlier work this paper cites.
H. Kim, N. Leconte, B. L. Chittari, K. Watanabe, T. Taniguchi, A. H. MacDonald, J. Jung, and S. Jung, Accurate Gap Determination in Monolayer and Bilayer Graphene/h-BN Moiré Superlattices, Nano Letters 18
Original
2018
Earlier work this paper cites.
L. Huder, A. Artaud, T. Le Quang, G. T. de Laissardière, A. G. M. Jansen, G. Lapertot, C. Chapelier, and V. T. Renard, Electronic spectrum of twisted graphene layers under heterostrain, Phys. Rev. Lett. 120
2018
Earlier work this paper cites.
M. Koshino, N. F. Q. Yuan, T. Koretsune, M. Ochi, K. Kuroki, and L. Fu, Maximally localized wannier orbitals and the extended hubbard model for twisted bilayer graphene, Phys. Rev. X 8
2018
Earlier work this paper cites.

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