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N. Papanicolaou, Nuclear Physics B 240
1984
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1988
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1999
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J. C. W. Song, P. Samutpraphoot, and L. S. Levitov, Proceedings of the National Academy of Sciences 112
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2018
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G. Chen, L. Jiang, S. Wu, B. Lv, H. Li, K. Watanabe, T. Taniguchi, Z. Shi, Y. Zhang, and F. Wang, arXiv:1803.01985 (2018)
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2018
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2019

Spin-valley density wave in moir\'e materials

Schrade, Constantin, Fu, Liang

Understand

We introduce and study a minimum two-orbital Hubbard model on a triangular lattice, which captures the key features of both the trilayer ABC-stacked graphene-boron nitride heterostructure and twisted transition metal dichalcogenides in a broad parameter range.

Our model comprises first- and second-nearest neighbor hoppings with valley-contrasting flux that accounts for trigonal warping in the band structure.
For the strong-coupling regime with one electron per site, we derive a spin-orbital exchange Hamiltonian and find the semiclassical ground state to be a spin-valley density wave.
We show that a relatively small second-neighbor exchange interaction is sufficient to stabilize the ordered state against quantum fluctuations.

Built on

N. Papanicolaou, Nuclear Physics B 240
1984
Earlier work this paper cites.
N. Papanicolaou, Nuclear Physics B 305
1988
Earlier work this paper cites.
A. Joshi, M. Ma, F. Mila, D. N. Shi, and F. C. Zhang, Phys. Rev. B 60
Original
1999
Earlier work this paper cites.
K. Penc, M. Mambrini, P. Fazekas, and F. Mila 68, Phys. Rev. B 68
2003
Earlier work this paper cites.
M. Koshino and E. McCann, Phys. Rev. B 80
2009
Earlier work this paper cites.
R. Bistritzer and A. MacDonald, Proc. Natl. Acad. Sci. 108
2011
Earlier work this paper cites.
G. T. de Laissardiere, D. Mayou, and L. Magaud, Phys. Rev. B 86
2012
Earlier work this paper cites.
J. C. W. Song, P. Samutpraphoot, and L. S. Levitov, Proceedings of the National Academy of Sciences 112
2015
Earlier work this paper cites.
Z. Zhu and S. R. White, Phys. Rev. B 92
2015
Earlier work this paper cites.
W.-J. Hu, S.-S. Gong, W. Zhu, and D. Sheng, Phys. Rev. B 92
2015
Earlier work this paper cites.
S.-S. Gong, W. Zhu, J.-X. Zhu, D. N. Sheng, and K. Yang, Phys. Rev. B 96
2017
Earlier work this paper cites.
Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, R. C. Ashoori, and P. Jarillo-Herrero, Nature 556
2018
Earlier work this paper cites.
Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Nature 556
2018
Earlier work this paper cites.
A. Kerelsky, L. McGilly, D. M. Kennes, L. Xian, M. Yankowitz, S. Chen, K. Watanabe, T. Taniguchi, J. Hone, C. Dean, A. Rubio, and A. N. Pasupathy, arXiv:1812.08776 (2018)
Original
2018
Earlier work this paper cites.
G. Chen, L. Jiang, S. Wu, B. Lv, H. Li, K. Watanabe, T. Taniguchi, Z. Shi, Y. Zhang, and F. Wang, arXiv:1803.01985 (2018)
Original
2018
Earlier work this paper cites.
C. Xu and L. Balents, Phys. Rev. Lett. 121
2018
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N. F. Q. Yuan and L. Fu, Phys. Rev. B 98
2018
Earlier work this paper cites.

Similar

M. Koshino, N. F. Q. Yuan, T. Koretsune, M. Ochi, K. Kuroki, and L. Fu, Phys. Rev. X 8
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Cited alongside, same era.
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2018
Cited alongside, same era.
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Original
2018
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Original
2018

Then

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Original
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Later among the works it cites.
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Original
2019
Closest in time.
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Y. Cao, D. Chowdhury, D. Rodan-Legrain, O. Rubies-Bigordà, K. Watanabe, T. Taniguchi, T. Senthil, P. Jarillo-Herrero, arXiv:1901.03710 (2019)
Original
2019
Closest in time.
A. L. Sharpe, E. J. Fox, A. W. Barnard, J. Finney, K. Watanabe, T. Taniguchi, M. A. Kastner, D. Goldhaber-Gordon, arXiv:1901.03520 (2019)

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