Built on

Wilbur Shirley, Kevin Slagle, and Xie Chen, “Twisted foliated fracton phases,” arXiv:1907.09048 (2019b)
Original
1907
Earlier work this paper cites.
Juven Wang, Kai Xu, and Shing-Tung Yau, “Higher-rank non-abelian tensor field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, noether’s theorem, and gauge,” arXiv:1911.01804 (2019b)
Original
1911
Earlier work this paper cites.
Nathan Seiberg and Shu-Heng Shao, “Exotic symmetries, duality, and fractons in 2+1-dimensional quantum field theory,” arXiv:2003.10466 (2020c)
Original
2003
Earlier work this paper cites.
Nathan Seiberg and Shu-Heng Shao, “Exotic u(1) symmetries, duality, and fractons in 3+1-dimensional quantum field theory,” arXiv:2004.00015 (2020a)
Original
2004
Earlier work this paper cites.
Nathan Seiberg and Shu-Heng Shao, “Exotic zn symmetries, duality, and fractons in 3+1-dimensional quantum field theory,” arXiv:2004.06115 (2020b)
Original
2004
Earlier work this paper cites.
Claudio Chamon, “Quantum glassiness in strongly correlated clean systems: An example of topological overprotection,” Phys. Rev. Lett. 94, 040402 (2005)
2005
Earlier work this paper cites.
C. Xu, “Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons,” Phys. Rev. B 74, 224433 (2006)
2006
Earlier work this paper cites.
Z.-C. Gu and X.-G. Wen, “A lattice bosonic model as a quantum theory of gravity,” arXiv:gr-qc/0606100 (2006)
2006
Earlier work this paper cites.
Claudio Castelnovo, Claudio Chamon, and David Sherrington, “Quantum mechanical and information theoretic view on classical glass transitions,” Phys. Rev. B 81, 184303 (2010)
2010
Earlier work this paper cites.
C. Xu and P. Horava, “Emergent gravity at a lifshitz point from a bose liquid on the lattice,” Phys. Rev. D 81, 104033 (2010)
2010
Earlier work this paper cites.

Similar

S. Bravyi, B. Leemhuis, and B. Terhal, “Topological order in an exactly solvable 3d spin model,” Ann. Phys., Vol. 326:4, page 839 (2011)
2011
Cited alongside, same era.
J. Haah, “Local stabilizer codes in three dimensions without string logical operators,” Phys. Rev. A 83, 042330 (2011)
2011
Cited alongside, same era.
Claudio Castelnovo and Claudio Chamon, “Topological quantum glassiness,” Philosophical Magazine 29, 1 (2011)
2011
Cited alongside, same era.
Z.-C. Gu and X.-G. Wen, “Emergence of helicity +/- 2 modes (gravitons) from qubit models,” Nuclear Physics B 863, 90 – 129 (2012)
2012
Cited alongside, same era.
B. Yoshida, “Exotic topological order in fractal spin liquids,” Phys. Rev. B 88, 125122 (2013)
2013
Cited alongside, same era.

Then

K. Slagle and Y. B. Kim, “Quantum field theory of x-cube fracton topological order and robust degeneracy from geometry,” Phys. Rev. B 96, 195139 (2017)
2017
Later among the works it cites.
Wilbur Shirley, Kevin Slagle, Zhenghan Wang, and Xie Chen, “Fracton models on general three-dimensional manifolds,” Phys. Rev. X 8, 031051 (2018)
2018
Later among the works it cites.
D. Bulmash and M. Barkeshli, “Generalized u(1) gauge field theories and fractal dynamics,” arXiv:1806.01855 (2018)
Original
2018
Later among the works it cites.
Albert T. Schmitz, “Distilling fractons from layered subsystem-symmetry protected phases,” arXiv:1910.04765 (2019)
Original
2019
Later among the works it cites.
Yohei Fuji, “Anisotropic layer construction of anisotropic fracton models,” Phys. Rev. B 100, 235115 (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…

Reading the bibliography…

2021

Field Theories for type-II fractons

Fontana, Weslei B., Gomes, Pedro R. S., Chamon, Claudio

Understand

We derive an effective field theory for a type-II fracton starting from the Haah code on the lattice.

The effective topological theory is not given exclusively in terms of an action; it must be supplemented with a condition that selects physical states.
Without the constraint, the action only describes a type-I fracton.
The constraint emerges from a condition that cube operators multiply to the identity, and it cannot be consistently implemented in the continuum theory at the operator level, but only in a weaker form, in terms of matrix elements of physical states.

Built on

Wilbur Shirley, Kevin Slagle, and Xie Chen, “Twisted foliated fracton phases,” arXiv:1907.09048 (2019b)
Original
1907
Earlier work this paper cites.
Juven Wang, Kai Xu, and Shing-Tung Yau, “Higher-rank non-abelian tensor field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, noether’s theorem, and gauge,” arXiv:1911.01804 (2019b)
Original
1911
Earlier work this paper cites.
Nathan Seiberg and Shu-Heng Shao, “Exotic symmetries, duality, and fractons in 2+1-dimensional quantum field theory,” arXiv:2003.10466 (2020c)
Original
2003
Earlier work this paper cites.
Nathan Seiberg and Shu-Heng Shao, “Exotic u(1) symmetries, duality, and fractons in 3+1-dimensional quantum field theory,” arXiv:2004.00015 (2020a)
Original
2004
Earlier work this paper cites.
Nathan Seiberg and Shu-Heng Shao, “Exotic zn symmetries, duality, and fractons in 3+1-dimensional quantum field theory,” arXiv:2004.06115 (2020b)
Original
2004
Earlier work this paper cites.
Claudio Chamon, “Quantum glassiness in strongly correlated clean systems: An example of topological overprotection,” Phys. Rev. Lett. 94, 040402 (2005)
2005
Earlier work this paper cites.
C. Xu, “Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons,” Phys. Rev. B 74, 224433 (2006)
2006
Earlier work this paper cites.
Z.-C. Gu and X.-G. Wen, “A lattice bosonic model as a quantum theory of gravity,” arXiv:gr-qc/0606100 (2006)
2006
Earlier work this paper cites.
Claudio Castelnovo, Claudio Chamon, and David Sherrington, “Quantum mechanical and information theoretic view on classical glass transitions,” Phys. Rev. B 81, 184303 (2010)
2010
Earlier work this paper cites.
C. Xu and P. Horava, “Emergent gravity at a lifshitz point from a bose liquid on the lattice,” Phys. Rev. D 81, 104033 (2010)
2010
Earlier work this paper cites.

Similar

S. Bravyi, B. Leemhuis, and B. Terhal, “Topological order in an exactly solvable 3d spin model,” Ann. Phys., Vol. 326:4, page 839 (2011)
2011
Cited alongside, same era.
J. Haah, “Local stabilizer codes in three dimensions without string logical operators,” Phys. Rev. A 83, 042330 (2011)
2011
Cited alongside, same era.
Claudio Castelnovo and Claudio Chamon, “Topological quantum glassiness,” Philosophical Magazine 29, 1 (2011)
2011
Cited alongside, same era.
Z.-C. Gu and X.-G. Wen, “Emergence of helicity +/- 2 modes (gravitons) from qubit models,” Nuclear Physics B 863, 90 – 129 (2012)
2012
Cited alongside, same era.
B. Yoshida, “Exotic topological order in fractal spin liquids,” Phys. Rev. B 88, 125122 (2013)
2013
Cited alongside, same era.

Then

K. Slagle and Y. B. Kim, “Quantum field theory of x-cube fracton topological order and robust degeneracy from geometry,” Phys. Rev. B 96, 195139 (2017)
2017
Later among the works it cites.
Wilbur Shirley, Kevin Slagle, Zhenghan Wang, and Xie Chen, “Fracton models on general three-dimensional manifolds,” Phys. Rev. X 8, 031051 (2018)
2018
Later among the works it cites.
D. Bulmash and M. Barkeshli, “Generalized u(1) gauge field theories and fractal dynamics,” arXiv:1806.01855 (2018)
Original
2018
Later among the works it cites.
Albert T. Schmitz, “Distilling fractons from layered subsystem-symmetry protected phases,” arXiv:1910.04765 (2019)
Original
2019
Later among the works it cites.
Yohei Fuji, “Anisotropic layer construction of anisotropic fracton models,” Phys. Rev. B 100, 235115 (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…

S. Bravyi and J. Haah, “Quantum self-correction in the 3d cubic code model,” Phys. Rev. Lett. 111, 200501 (2013)

2013

Cited alongside, same era.

S. Vijay, J. Haah, and L. Fu, “A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations,” Phys. Rev. B 92, 235136 (2015)

2015

Cited alongside, same era.

S. Vijay, J. Haah, and L. Fu, “Fracton topological order, generalized lattice gauge theory, and duality,” Phys. Rev. B 94, 235157 (2016)

2016

Cited alongside, same era.

A. Rasmussen, Yi-Zhuang You, and C. Xu, “Stable gapless bose liquid phases without any symmetry,” arXiv:1601.08235 (2016)

Original

2016

Cited alongside, same era.

A. Prem, J. Haah, and R. Nandkishore, “Glassy quantum dynamics in translation invariant fracton models,” Phys. Rev. B 95, 155133 (2017)

2017

Cited alongside, same era.

Wilbur Shirley, Kevin Slagle, and Xie Chen, “Universal entanglement signatures of foliated fracton phases,” SciPost Phys. 6, 015 (2019a)

Cited in the paper.

Taige Wang, Wilbur Shirley, and Xie Chen, “Foliated fracton order in the majorana checkerboard model,” Phys. Rev. B 100, 085127 (2019a)

Cited in the paper.

2019