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The Lieb-Schultz-Mattis (LSM) theorem and its higher-dimensional generalizations by Oshikawa and Hastings establish that a translation-invariant lattice model of spin-$1/2$'s can not have a non-degenerate ground state preserving both spin and translation symmetries.
E. Lieb, T. Schultz, and D. Mattis, Annals of Physics 16
1961
Earlier work this paper cites.
M. Oshikawa, Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
T. Giamarchi, Quantum Physics in One Dimension (Clarendon press, Oxford, 2003)
2003
Earlier work this paper cites.
M. B. Hastings, Phys. Rev. B 69
2004
Earlier work this paper cites.
A. Kitaev, Ann. Phys. 321
2006
Earlier work this paper cites.
H. Bombin, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
L. Fidkowski and A. Kitaev, Phys. Rev. B 83
2011
Earlier work this paper cites.
A. M. Turner, F. Pollmann, and E. Berg, Phys. Rev. B 83
2011
Earlier work this paper cites.
N. Schuch, D. Pérez-García, and I. Cirac, Phys. Rev. B 84
2011
Earlier work this paper cites.
F. Pollmann, E. Berg, A. M. Turner, and M. Oshikawa, Phys. Rev. B 85
2012
Earlier work this paper cites.
Y.-Z. You and X.-G. Wen, Phys. Rev. B 86
2012
Earlier work this paper cites.
M. Barkeshli and X.-L. Qi, Phys. Rev. X 2
2012
Earlier work this paper cites.
S. A. Parameswaran, A. M. Turner, D. P. Arovas, and A. Vishwanath, Nature Physics 9
2013
Earlier work this paper cites.
A. Vishwanath and T. Senthil, Phys. Rev. X 3
2013
Earlier work this paper cites.
C. Wang and M. Levin, Phys. Rev. B 88
2013
Earlier work this paper cites.
M. Barkeshli, C.-M. Jian, and X.-L. Qi, Phys. Rev. B 87
2013
Earlier work this paper cites.
Z.-C. Gu and X.-G. Wen, Phys. Rev. B 90
2014
Earlier work this paper cites.
J. C. Y. Teo, A. Roy, and X. Chen, Phys. Rev. B 90
2014
Cited alongside, same era.
H. Watanabe, H. C. Po, A. Vishwanath, and M. Zaletel, Proc. Natl. Acad. Sci. 112
2015
Cited alongside, same era.
M. P. Zaletel and A. Vishwanath, Phys. Rev. Lett. 114
2015
Cited alongside, same era.
X. Chen, F. J. Burnell, A. Vishwanath, and L. Fidkowski, Phys. Rev. X 5
2015
Cited alongside, same era.
M. Cheng, Z. Bi, Y.-Z. You, and Z.-C. Gu, ArXiv e-prints (2015), arXiv:1501.01313
2015
X. Yang, S. Jiang, A. Vishwanath, and Y. Ran, (2017), arXiv:1705.05421
2017
Later among the works it cites.
G. Y. Cho, C.-T. Hsieh, and S. Ryu, Phys. Rev. B 96
2017
Later among the works it cites.
S.-J. Huang, H. Song, Y.-P. Huang, and M. Hermele, Phys. Rev. B 96
2017
Later among the works it cites.
N. Bultinck, D. J. Williamson, J. Haegeman, and F. Verstraete, Phys. Rev. B 95
2017
Later among the works it cites.
A. Turzillo and M. You, ArXiv e-prints (2017), arXiv:1710.00140 [cond-mat.str-el]
2017
Later among the works it cites.
L. Bhardwaj, D. Gaiotto, and A. Kapustin, Journal of High Energy Physics 4
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Cited alongside, same era.
A. Kapustin, R. Thorngren, A. Turzillo, and Z. Wang, Journal of High Energy Physics 2015
2015
Cited alongside, same era.
M. Cheng, M. Zaletel, M. Barkeshli, A. Vishwanath, and P. Bonderson, Phys. Rev. X 6
2016
Cited alongside, same era.
A. Kapustin, A. Turzillo, and M. You, ArXiv e-prints (2016), arXiv:1610.10075 [cond-mat.str-el]
2016
Cited alongside, same era.
T. H. Hsieh, G. B. Halász, and T. Grover, Phys. Rev. Lett. 117
2016
Cited alongside, same era.
D. F. Mross, A. Essin, J. Alicea, and A. Stern, Phys. Rev. Lett. 116
2016
Cited alongside, same era.
N. Tarantino, N. Lindner, and L. Fidkowski, New J. Phys. 18
2016
Cited alongside, same era.
M. Hermele and X. Chen, Phys. Rev. X 6
2016
Cited alongside, same era.
2017
Later among the works it cites.
C. Zhaoxi Xiong, ArXiv e-prints (2017), arXiv:1701.00004 [cond-mat.str-el]
2017
Later among the works it cites.
2017
Later among the works it cites.
A. Kapustin and R. Thorngren, Journal of High Energy Physics 2017
2017
Later among the works it cites.
Y. Qi and M. Cheng, Phys. Rev. B 97
2018
Closest in time.
C.-M. Jian, Z. Bi, and C. Xu, Phys. Rev. B 97
2018
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R. Thorngren and D. V. Else, Phys. Rev. X 8
2018
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D. Williamson and M. Cheng, in preparation (2018)
2018
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M. Cheng and C. Wang, unpublished (2018)
2018
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2018
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2018
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