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X. Liu, Z. Hao, E. Khalaf, J. Y. Lee, K. Watanabe, T. Taniguchi, A. Vishwanath, and P. Kim, arXiv:1903.08130 (2019a)
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2019

Moir\'e Flat Bands in Twisted Double Bilayer Graphene

Haddadi, Fatemeh, Wu, QuanSheng, Kruchkov, Alex J. et al.

Understand

We investigate twisted double bilayer graphene (TDBG), a four-layer system composed of two AB-stacked graphene bilayers rotated with respect to each other by a small angle.

Our ab initio band structure calculations reveal a considerable energy gap at the charge point neutrality that we assign to the intrinsic symmetric polarization (ISP).
We then introduce the ISP effect into the tight-binding parameterization and perform calculations on TDBG models that include lattice relaxation effects down to very small twist angles.
We identify a narrow region around the magic angle $\theta^\circ = 1.3^{\circ}$ characterized by a manifold of remarkably flat bands gapped out from other states even without external electric fields.

Built on

X. Liu, Z. Hao, E. Khalaf, J. Y. Lee, K. Watanabe, T. Taniguchi, A. Vishwanath, and P. Kim, arXiv:1903.08130 (2019a)
Original
1903
Earlier work this paper cites.
J. C. Slater and G. F. Koster, Phys. Rev. 94
1954
Earlier work this paper cites.
G. Kresse and J. Furthmüller, Phys. Rev. B 54
1996
Earlier work this paper cites.
D. W. Brenner, O. A. Shenderova, J. A. Harrison, S. J. Stuart, B. Ni, and S. B. Sinnott, Journal of Physics: Condensed Matter 14
2002
Earlier work this paper cites.
E. Bitzek, P. Koskinen, F. Gähler, M. Moseler, and P. Gumbsch, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
J. M. B. Lopes dos Santos, N. M. R. Peres, and A. H. Castro Neto, Phys. Rev. Lett. 99
Original
2007
Earlier work this paper cites.
A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81
2009
Earlier work this paper cites.
G. Trambly de Laissardière, D. Mayou, and L. Magaud, Nano Letters 10
2010
Earlier work this paper cites.
R. Bistritzer and A. H. MacDonald, Proceedings of the National Academy of Sciences 108
2011
Earlier work this paper cites.

Similar

P. San-Jose, J. González, and F. Guinea, Phys. Rev. Lett. 108
2012
Cited alongside, same era.
G. Trambly de Laissardière, D. Mayou, and L. Magaud, Phys. Rev. B 86
2012
Cited alongside, same era.
F. Gargiulo and O. V. Yazyev, 2D Materials 5
2017
Cited alongside, same era.
M. H. Naik and M. Jain, Phys. Rev. Lett. 121
2018
Cited alongside, same era.
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2018
Cited alongside, same era.
M. Yankowitz, S. Chen, H. Polshyn, Y. Zhang, K. Watanabe, T. Taniguchi, D. Graf, A. F. Young, and C. R. Dean, Science 363
2019
Cited alongside, same era.

Then

Y. Cao, D. Rodan-Legrain, O. Rubies-Bigordà, J. M. Park, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero, arXiv:1903.08596 (2019)
Original
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Beyond the bibliography

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