Systematic Constructions of Fracton Theories

A. Kubica and N. Delfosse, “Efficient color code decoders in d ≥ 2 d\geq 2 dimensions from toric code decoders,” 1905.07393

Original

1905

Earlier work this paper cites.

N. Seiberg, “Field Theories With a Vector Global Symmetry,” 1909.10544

Original

1909

Earlier work this paper cites.

J. Wang and K. Xu, “Higher-Rank Tensor Field Theory of Non-Abelian Fracton and Embeddon,” 1909.13879

Original

1909

Earlier work this paper cites.

M.-Y. Li and P. Ye, “Exactly Solvable Fracton Models for Spatially Extended Excitations,” 1909.02814

Original

1909

Earlier work this paper cites.

V. B. Shenoy and R. Moessner, “ ( k , n ) (k,n) -fractonic Maxwell theory,” 1910.02820

Original

1910

Earlier work this paper cites.

F. J. Wegner, “Duality in Generalized Ising Models and Phase Transitions Without Local Order Parameters,” J. Math. Phys

1971

Earlier work this paper cites.

J. B. Kogut and L. Susskind, “Hamiltonian Formulation of Wilson’s Lattice Gauge Theories,” Phys. Rev

1975

Earlier work this paper cites.

A. M. Polyakov, “Compact Gauge Fields and the Infrared Catastrophe,” Phys. Lett

1975

Earlier work this paper cites.

E. Witten, “Dyons of Charge e ​ θ / 2 ​ π e\theta/2\pi ,” Phys. Lett

1979

Earlier work this paper cites.

J. B. Kogut, “An Introduction to Lattice Gauge Theory and Spin Systems,” Rev. Mod. Phys

1979

Earlier work this paper cites.

E. H. Fradkin and S. H. Shenker, “Phase Diagrams of Lattice Gauge Theories with Higgs Fields,” Phys. Rev

1979

Earlier work this paper cites.

T. Banks and E. Rabinovici, “Finite Temperature Behavior of the Lattice Abelian Higgs Model,” Nucl. Phys

1979

Earlier work this paper cites.

A. Paramekanti, L. Balents, and M. P. A. Fisher, “Ring exchange, the exciton Bose liquid, and bosonization in two dimensions,” Phys. Rev. B

2002

Earlier work this paper cites.

A. Yu. Kitaev, “Fault tolerant quantum computation by anyons,” Annals Phys

2003

Cited alongside, same era.

C. Chamon, “Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection,” Phys. Rev. Lett

2005

Cited alongside, same era.

C. Xu and M. P. A. Fisher, “Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems,” Phys. Rev. B

2007

Cited alongside, same era.

C. Xu and C. Wu, “Resonating plaquette phases in SU(4) Heisenberg antiferromagnet,” Phys. Rev. B

2008

Cited alongside, same era.

Z. Nussinov and G. Ortiz, “Sufficient symmetry conditions for Topological Quantum Order,” Proc. Nat. Acad. Sci

2009

Cited alongside, same era.

Z. Nussinov and G. Ortiz, “A symmetry principle for topological quantum order,” Annals Phys

G. B. Halász, T. H. Hsieh, and L. Balents, “Fracton Topological Phases from Strongly Coupled Spin Chains,” Phys. Rev. Lett

Original

2017

Later among the works it cites.

M. Pretko, “Higher-Spin Witten Effect and Two-Dimensional Fracton Phases,” Phys. Rev

Original

2017

Later among the works it cites.

A. Prem, J. Haah, and R. Nandkishore, “Glassy quantum dynamics in translation invariant fracton models,” Phys. Rev

Original

2017

Later among the works it cites.

W. Shirley, K. Slagle, Z. Wang, and X. Chen, “Fracton Models on General Three-Dimensional Manifolds,” Phys. Rev

Original

2018

Later among the works it cites.

D. Bulmash and M. Barkeshli, “The Higgs Mechanism in Higher-Rank Symmetric U ⁡ ( 1 ) U(1) Gauge Theories,” Phys. Rev