Built on

M. Levin, Commun. Math. Phys. 378
Original
1903
Earlier work this paper cites.
P. Bueno, H. Casini, and W. Witczak-Krempa, JHEP 08
Original
1904
Earlier work this paper cites.
W. Ji and X.-G. Wen, “Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions,” (2019a), arXiv:1912.13492
Original
1912
Earlier work this paper cites.
F. Wegner, J. Math. Phys. 12
1971
Earlier work this paper cites.
L. P. Kadanoff and H. Ceva, Phys. Rev. B 3
1971
Earlier work this paper cites.
J. B. Kogut, Rev. Mod. Phys. 51
1979
Earlier work this paper cites.
R. Moessner and S. L. Sondhi, Phys. Rev. B 63
2001
Earlier work this paper cites.
A. Paramekanti, L. Balents, and M. P. A. Fisher, Phys. Rev. B 66
2002
Earlier work this paper cites.
H. W. J. Blöte and Y. Deng, Phys. Rev. E 66
2002
Earlier work this paper cites.
O. F. Syljuåsen and A. W. Sandvik, Physical Review E 66
2002
Earlier work this paper cites.
S. V. Isakov and R. Moessner, Phys. Rev. B 68
2003
Earlier work this paper cites.
A. W. Sandvik, Physical Review E 68
2003
Earlier work this paper cites.
O. F. Syljuåsen, Physical Review E 67
2003
Earlier work this paper cites.
T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, and M. P. A. Fisher, Phys. Rev. B 70
2004
Earlier work this paper cites.
L. Kong, T. Lan, X.-G. Wen, Z.-H. Zhang, and H. Zheng, “Algebraic higher symmetry and categorical symmetry – a holographic and entanglement view of symmetry,” (2020), arXiv:2005.14178
Original
2005
Earlier work this paper cites.
M. B. Hastings and X.-G. Wen, Phys. Rev. B 72
2005
Earlier work this paper cites.
D. Gioev and I. Klich, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.

Similar

M. M. Wolf, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
H. Casini and M. Huerta, Nucl. Phys. B 764
2007
Cited alongside, same era.
S. Gukov and E. Witten, “Rigid surface operators,” (2008), arXiv:0804.1561 [hep-th]
Original
2008
Cited alongside, same era.
S. N. Solodukhin, Phys. Lett. B 665
Original
2008
Cited alongside, same era.
H. Casini and M. Huerta, Journal of Physics A: Mathematical and Theoretical 42
Original
2009
Cited alongside, same era.
M. A. Metlitski, C. A. Fuertes, and S. Sachdev, Phys. Rev. B 80

Then

J. Dowker, (2015), arXiv:1509.00782 [hep-th]
Original
2015
Later among the works it cites.
H. Elvang and M. Hadjiantonis, Phys. Lett. B 749
Original
2015
Later among the works it cites.
P. Bueno, R. C. Myers, and W. Witczak-Krempa, JHEP 09
Original
2015
Later among the works it cites.
Y.-Y. He, H.-Q. Wu, Y.-Z. You, C. Xu, Z. Y. Meng, and Z.-Y. Lu, Phys. Rev. B 93
2016
Later among the works it cites.
J. Helmes, L. E. Hayward Sierens, A. Chandran, W. Witczak-Krempa, and R. G. Melko, Phys. Rev. B 94
Original
2016
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2020

Higher-form symmetry breaking at Ising transitions

Zhao, Jiarui, Yan, Zheng, Cheng, Meng et al.

Understand

In recent years, new phases of matter that are beyond the Landau paradigm of symmetry breaking are mountaining, and to catch up with this fast development, new notions of global symmetry are introduced.

Among them, the higher-form symmetry, whose symmetry charges are spatially extended, can be used to describe topologically ordered phases as the spontaneous breaking of the symmetry, and consequently unify the unconventional and conventional phases under the same conceptual framework.
However, such conceptual tools have not been put into quantitative test except for certain solvable models, therefore limiting its usage in the more generic quantum manybody systems.
In this work, we study Z2 higher-form symmetry in a quantum Ising model, which is dual to the global (0-form) Ising symmetry.

Built on

M. Levin, Commun. Math. Phys. 378
Original
1903
Earlier work this paper cites.
P. Bueno, H. Casini, and W. Witczak-Krempa, JHEP 08
Original
1904
Earlier work this paper cites.
W. Ji and X.-G. Wen, “Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions,” (2019a), arXiv:1912.13492
Original
1912
Earlier work this paper cites.
F. Wegner, J. Math. Phys. 12
1971
Earlier work this paper cites.
L. P. Kadanoff and H. Ceva, Phys. Rev. B 3
1971
Earlier work this paper cites.
J. B. Kogut, Rev. Mod. Phys. 51
1979
Earlier work this paper cites.
R. Moessner and S. L. Sondhi, Phys. Rev. B 63
2001
Earlier work this paper cites.
A. Paramekanti, L. Balents, and M. P. A. Fisher, Phys. Rev. B 66
2002
Earlier work this paper cites.
H. W. J. Blöte and Y. Deng, Phys. Rev. E 66
2002
Earlier work this paper cites.
O. F. Syljuåsen and A. W. Sandvik, Physical Review E 66
2002
Earlier work this paper cites.
S. V. Isakov and R. Moessner, Phys. Rev. B 68
2003
Earlier work this paper cites.
A. W. Sandvik, Physical Review E 68
2003
Earlier work this paper cites.
O. F. Syljuåsen, Physical Review E 67
2003
Earlier work this paper cites.
T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, and M. P. A. Fisher, Phys. Rev. B 70
2004
Earlier work this paper cites.
L. Kong, T. Lan, X.-G. Wen, Z.-H. Zhang, and H. Zheng, “Algebraic higher symmetry and categorical symmetry – a holographic and entanglement view of symmetry,” (2020), arXiv:2005.14178
Original
2005
Earlier work this paper cites.
M. B. Hastings and X.-G. Wen, Phys. Rev. B 72
2005
Earlier work this paper cites.
D. Gioev and I. Klich, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.