Built on

G. Chen, A. L. Sharpe, P. Gallagher, I. T. Rosen, E. Fox, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi, J. Jung, Z. Shi, D. Goldhaber-Gordon, Y. Zhang, and F. Wang, arXiv:1901.04621
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1901
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Y.-H. Zhang, D. Mao, and T. Senthil, arXiv preprint arXiv:1901.08209 (2019b)
Original
1901
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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
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1903
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C. Shen, N. Li, S. Wang, Y. Zhao, J. Tang, J. Liu, J. Tian, Y. Chu, K. Watanabe, T. Taniguchi, R. Yang, Z. Y. Meng, D. Shi, and G. Zhang, arXiv e-prints (2019), arXiv:1903.06952
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1903
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Y. Cao, D. Rodan-Legrain, O. Rubies-Bigordà, J. M. Park, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero, arXiv:1903.08596
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1903
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G. Chen, A. L. Sharpe, E. J. Fox, Y.-H. Zhang, S. Wang, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi, et al. , arXiv preprint arXiv:1905.06535 (2019b)
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1905
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M. Serlin, C. L. Tschirhart, H. Polshyn, Y. Zhang, J. Zhu, K. Watanabe, T. Taniguchi, L. Balents, and A. F. Young, arXiv e-prints , arXiv:1907.00261 (2019), arXiv:1907.00261
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1907
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S. M. Girvin, A. H. MacDonald, and P. M. Platzman, Phys. Rev. B 33
1986
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F. D. M. Haldane, Phys. Rev. Lett. 61
1988
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S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi, Phys. Rev. B 47
1993
Earlier work this paper cites.
C. Brouder, G. Panati, M. Calandra, C. Mourougane, and N. Marzari, Physical Review Letters 98
2007
Earlier work this paper cites.

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2019

Ferromagnetism in narrow bands of moir\'e superlattices

Repellin, Cécile, Dong, Zhihuan, Zhang, Ya-Hui et al.

Understand

Many graphene moir\'e superlattices host narrow bands with non-zero valley Chern numbers.

We provide analytical and numerical evidence for a robust spin and/or valley polarized insulator at total integer band filling in nearly flat bands of several different moir\'e materials.
In the limit of a perfectly flat band, we present analytical arguments in favor of the ferromagnetic state substantiated by numerical calculations.
Further, we numerically evaluate its stability for a finite bandwidth.

Built on

G. Chen, A. L. Sharpe, P. Gallagher, I. T. Rosen, E. Fox, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi, J. Jung, Z. Shi, D. Goldhaber-Gordon, Y. Zhang, and F. Wang, arXiv:1901.04621
Original
1901
Earlier work this paper cites.
Y.-H. Zhang, D. Mao, and T. Senthil, arXiv preprint arXiv:1901.08209 (2019b)
Original
1901
Earlier work this paper cites.
X. Liu, Z. Hao, E. Khalaf, J. Y. Lee, K. Watanabe, T. Taniguchi, A. Vishwanath, and P. Kim, arXiv:1903.08130
Original
1903
Earlier work this paper cites.
C. Shen, N. Li, S. Wang, Y. Zhao, J. Tang, J. Liu, J. Tian, Y. Chu, K. Watanabe, T. Taniguchi, R. Yang, Z. Y. Meng, D. Shi, and G. Zhang, arXiv e-prints (2019), arXiv:1903.06952
Original
1903
Earlier work this paper cites.
Y. Cao, D. Rodan-Legrain, O. Rubies-Bigordà, J. M. Park, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero, arXiv:1903.08596
Original
1903
Earlier work this paper cites.
G. Chen, A. L. Sharpe, E. J. Fox, Y.-H. Zhang, S. Wang, L. Jiang, B. Lyu, H. Li, K. Watanabe, T. Taniguchi, et al. , arXiv preprint arXiv:1905.06535 (2019b)
Original
1905
Earlier work this paper cites.
M. Serlin, C. L. Tschirhart, H. Polshyn, Y. Zhang, J. Zhu, K. Watanabe, T. Taniguchi, L. Balents, and A. F. Young, arXiv e-prints , arXiv:1907.00261 (2019), arXiv:1907.00261
Original
1907
Earlier work this paper cites.
S. M. Girvin, A. H. MacDonald, and P. M. Platzman, Phys. Rev. B 33
1986
Earlier work this paper cites.
F. D. M. Haldane, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi, Phys. Rev. B 47
1993
Earlier work this paper cites.
C. Brouder, G. Panati, M. Calandra, C. Mourougane, and N. Marzari, Physical Review Letters 98
2007
Earlier work this paper cites.

Similar

Z. F. Ezawa and G. Tsitsishvili, Reports on Progress in Physics 72
2009
Cited alongside, same era.
R. Bistritzer and A. H. MacDonald, Proceedings of the National Academy of Sciences 108
2011
Cited alongside, same era.
P. Ghaemi, J. Cayssol, D. N. Sheng, and A. Vishwanath, Phys. Rev. Lett. 108
2012
Cited alongside, same era.
N. Marzari, A. A. Mostofi, J. R. Yates, I. Souza, and D. Vanderbilt, Reviews of Modern Physics 84
2012
Cited alongside, same era.
S. A. Parameswaran, R. Roy, and S. L. Sondhi, Comptes Rendus Physique 14
2013
Cited alongside, same era.
C. Repellin, T. Neupert, Z. Papić, and N. Regnault, Phys. Rev. B 90
2014
Cited alongside, same era.