Fetching the paper…

Reading the bibliography…

2020

Excitonic fractional quantum Hall hierarchy in Moir\'e heterostructures

Kwan, Yves H., Hu, Yichen, Simon, Steven H. et al.

Original
PDF
Post on X

Understand

We consider fractional quantum Hall states in systems where two flat Chern number $C=\pm 1$ bands are labeled by an approximately conserved 'valley' index and interchanged by time reversal symmetry.

At filling factor $\nu=1$ this setting admits an unusual hierarchy of correlated phases of excitons, neutral particle-hole pair excitations of a fully valley-polarized `orbital ferromagnet' parent state where all electrons occupy a single valley.
Excitons experience an effective magnetic field due to the Chern numbers of the underlying bands.
This obstructs their condensation in favor of a variety of crystalline orders and gapped and gapless liquid states.

Excitonic fractional quantum Hall hierarchy in Moir\'e heterostructures · Around

Built on

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 [cond-mat.str-el]
Original
1907
Earlier work this paper cites.
C. Repellin and T. Senthil, “Chern bands of twisted bilayer graphene: fractional chern insulators and spin phase transition,” (2019), arXiv:1912.11469 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
P. J. Ledwith, G. Tarnopolsky, E. Khalaf, and A. Vishwanath, “Fractional chern insulator states in twisted bilayer graphene: An analytical approach,” (2019), arXiv:1912.09634 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
F. D. M. Haldane, Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
R. E. Prange and S. M. Girvin, eds., The Quantum Hall Effect , Graduate Texts in Contemporary Physics (Springer-Verlag, New York, 1987)
1987
Earlier work this paper cites.
F. D. M. Haldane, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
X. G. Wen and A. Zee, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
K. Moon, H. Mori, K. Yang, S. M. Girvin, A. H. MacDonald, L. Zheng, D. Yoshioka, and S.-C. Zhang, Phys. Rev. B 51
1995
Earlier work this paper cites.
C. L. Kane and M. P. A. Fisher, Phys. Rev. B 55
1997
Earlier work this paper cites.

Similar

K. Yang, Phys. Rev. Lett. 87
2001
Cited alongside, same era.
Y. B. Kim, C. Nayak, E. Demler, N. Read, and S. Das Sarma, Phys. Rev. B 63
2001
Cited alongside, same era.
M. M. Fogler, “Stripe and bubble phases in quantum hall systems,” in High Magnetic Fields: Applications in Condensed Matter Physics and Spectroscopy , edited by C. Berthier, L. P. Lévy, and G. Martinez (Springer Berlin Heidelberg, Berlin, Heidelberg, 2001) pp. 98–138
2001
Cited alongside, same era.
B. Spivak and S. A. Kivelson, Phys. Rev. B 70
2004
Cited alongside, same era.
J. Alicea, O. I. Motrunich, G. Refael, and M. P. A. Fisher, Phys. Rev. Lett. 103
2009
Cited alongside, same era.
P. Ghaemi, J. Cayssol, D. N. Sheng, and A. Vishwanath, Phys. Rev. Lett. 108

Then

G. Jotzu, M. Messer, R. Desbuquois, M. Lebrat, T. Uehlinger, D. Greif, and T. Esslinger, Nature 515
2014
Later among the works it cites.
M. A. Metlitski, D. F. Mross, S. Sachdev, and T. Senthil, Phys. Rev. B 91
2015
Later among the works it cites.
C.-X. Liu, S.-C. Zhang, and X.-L. Qi, Annual Review of Condensed Matter Physics 7
2016
Later among the works it cites.
Y.-H. Zhang, “Composite fermion insulator in opposite-fields quantum hall bilayers,” (2018), arXiv:1810.03600 [cond-mat.str-el]
Original
2018
Later among the works it cites.
Y. Hu, J. W. F. Venderbos, and C. L. Kane, Phys. Rev. Lett. 121
2018
Later among the works it cites.
N. Bultinck, S. Chatterjee, and M. P. Zaletel, arXiv preprint arXiv:1901.08110 (2019)

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2012

Cited alongside, same era.

S. A. Parameswaran, R. Roy, and S. L. Sondhi, Comptes Rendus Physique 14

2013

Cited alongside, same era.

E. J. Bergholtz and Z. Liu, International Journal of Modern Physics B 27

2013

Cited alongside, same era.

C.-Z. Chang, J. Zhang, X. Feng, J. Shen, Z. Zhang, M. Guo, K. Li, Y. Ou, P. Wei, L.-L. Wang, Z.-Q. Ji, Y. Feng, S. Ji, X. Chen, J. Jia, X. Dai, Z. Fang, S.-C. Zhang, K. He, Y. Wang, L. Lu, X.-C. Ma, and Q.-K. Xue, Science 340

2013

Cited alongside, same era.

Y. Cao, V. Fatemi, A. Demir, S. Fang, S. L. Tomarken, J. Y. Luo, J. D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, E. Kaxiras, et al. , Nature 556

Cited in the paper.

Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Nature 556

Cited in the paper.

Y.-H. Zhang, D. Mao, Y. Cao, P. Jarillo-Herrero, and T. Senthil, Phys. Rev. B 99

Cited in the paper.

2019

Later among the works it cites.

M. Xie and A. H. MacDonald, Phys. Rev. Lett. 124

2020

Closest in time.

Y. H. Kwan, Y. Hu, S. H. Simon, and S. A. Parameswaran, “Exciton band topology in spontaneous quantum anomalous hall insulators: applications to twisted bilayer graphene,” (2020), in preparation

2020

Closest in time.

F. Wu and S. Das Sarma, Phys. Rev. Lett. 124

2020

Closest in time.