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Based on several previous examples, we summarize explicitly the general procedure to gauge models with subsystem symmetries, which are symmetries with generators that have support within a sub-manifold of the system.
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Persistent entanglement in arrays of interacting particles ,
H. J. Briegel and R. Raussendorf, · 2001
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Anyons in an exactly solved model and beyond ,
A. Kitaev, · 2005
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Quantum glassiness in strongly correlated clean systems: An example of topological overprotection ,
C. Chamon, · 2005
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Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons ,
C. Xu, · 2006
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Topological order in an exactly solvable 3D spin model ,
S. Bravyi, B. Leemhuis and B. Terhal, · 2010
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Local stabilizer codes in three dimensions without string logical operators ,
J. Haah, · 2011
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Energy landscape of 3d spin hamiltonians with topological order ,
S. Bravyi and J. Haah, · 2011
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Braiding statistics approach to symmetry-protected topological phases ,
M. Levin and Z.-C. Gu, · 2012
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Topological order in 1d cluster state protected by symmetry ,
W. Son, L. Amico and V. Vedral, · 2012
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Exotic topological order in fractal spin liquids ,
B. Yoshida, · 2013
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A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations ,
S. Vijay, J. Haah and L. Fu, · 2015
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Fracton topological order, generalized lattice gauge theory, and duality ,
S. Vijay, J. Haah and L. Fu, · 2016
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Fractal symmetries: Ungauging the cubic code ,
D. J. Williamson, · 2016
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Stable Gapless Bose Liquid Phases without any Symmetry ,
A. Rasmussen, Y.-Z. You and C. Xu, · 2016
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Fracton Models on General Three-Dimensional Manifolds ,
W. Shirley, K. Slagle, Z. Wang and X. Chen, · 2017
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A Generalization of Non-Abelian Anyons in Three Dimensions ,
S. Vijay and L. Fu, · 2017
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Fracton topological order via coupled layers ,
H. Ma, E. Lake, X. Chen and M. Hermele, · 2017
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Fractons from partons ,
T. H. Hsieh and G. B. Halász, · 2017
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Fracton topological phases from strongly coupled spin chains ,
G. B. Halász, T. H. Hsieh and L. Balents, · 2017
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Isotropic Layer Construction and Phase Diagram for Fracton Topological Phases ,
S. Vijay, · 2017
Cited alongside, same era.
Fracton topological order from nearest-neighbor two-spin interactions and dualities ,
K. Slagle and Y. B. Kim, · 2017
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Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order ,
O. Petrova and N. Regnault, · 2017
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Quantum field theory of x-cube fracton topological order and robust degeneracy from geometry ,
K. Slagle and Y. B. Kim, · 2017
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Glassy quantum dynamics in translation invariant fracton models ,
A. Prem, S.-J. Huang, H. Song and M. Hermele, · 2018
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Generalized U ( 1 ) U(1) Gauge Field Theories and Fractal Dynamics ,
D. Bulmash and M. Barkeshli, · 2018
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Universal entanglement signatures of foliated fracton phases ,
W. Shirley, K. Slagle and X. Chen, · 2018
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Correlation function diagnostics for type-i fracton phases ,
T. Devakul, S. A. Parameswaran and S. L. Sondhi, · 2018
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Recoverable information and emergent conservation laws in fracton stabilizer codes ,
A. T. Schmitz, H. Ma, R. M. Nandkishore and S. A. Parameswaran, · 2018
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A. Prem, J. Haah and R. Nandkishore, · 2017
Cited alongside, same era.
Subdimensional particle structure of higher rank u ( 1 ) u(1) spin liquids ,
M. Pretko, · 2017
Cited alongside, same era.
Generalized electromagnetism of subdimensional particles: A spin liquid story ,
M. Pretko, · 2017
Cited alongside, same era.
Higher-spin witten effect and two-dimensional fracton phases ,
M. Pretko, · 2017
Cited alongside, same era.
Emergent gravity of fractons: Mach’s principle revisited ,
M. Pretko, · 2017
Cited alongside, same era.
Fractional Topological Elasticity and Fracton Order ,
A. Gromov, · 2017
Cited alongside, same era.
Ungauging quantum error-correcting codes ,
A. Kubica and B. Yoshida, · 2018
Cited alongside, same era.
Deciphering the nonlocal entanglement entropy of fracton topological orders ,
B. Shi and Y.-M. Lu, · 2018
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Topological entanglement entropy of fracton stabilizer codes ,
H. Ma, A. T. Schmitz, S. A. Parameswaran, M. Hermele and R. M. Nandkishore, · 2018
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Entanglement entropy from tensor network states for stabilizer codes ,
H. He, Y. Zheng, B. A. Bernevig and N. Regnault, · 2018
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Pinch Point Singularities of Tensor Spin Liquids ,
A. Prem, S. Vijay, Y.-Z. Chou, M. Pretko and R. M. Nandkishore, · 2018
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Universal quantum computation using fractal symmetry-protected cluster phases ,
T. Devakul and D. J. Williamson, · 2018
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Foliated fracton order in the checkerboard model (2018),
W. Shirley, K. Slagle and X. Chen, · 2018
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Fracton-elasticity duality ,
M. Pretko and L. Radzihovsky, · 2018
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Higher Rank Deconfined Quantum Criticality and the Exciton Bose Condensate ,
H. Ma and M. Pretko, · 2018
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Emergent phases of fractonic matter ,
A. Prem, M. Pretko and R. M. Nandkishore, · 2018
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Fractonic line excitations: An inroad from three-dimensional elasticity theory ,
S. Pai and M. Pretko, · 2018
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Higgs mechanism in higher-rank symmetric u(1) gauge theories ,
D. Bulmash and M. Barkeshli, · 2018
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Fracton topological order from Higgs and partial confinement mechanisms of rank-two gauge theory ,
H. Ma, M. Hermele and X. Chen, · 2018
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Fractional excitations in foliated fracton phases (2018),
W. Shirley, K. Slagle and X. Chen, · 2018
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