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Fractional excitations in fracton models exhibit novel features not present in conventional topological phases: their mobility is constrained, there are an infinitude of types, and they bear an exotic sense of 'braiding'.
doi:10.1103/PhysRevLett.49.957
F. Wilczek, Quantum mechanics of fractional-spin particles, Phys. Rev. Lett. 49 (1982) 957–959 · 1982
Earlier work this paper cites.
doi:10.1103/PhysRevLett.53.722
D. Arovas, J. R. Schrieffer, F. Wilczek, Fractional statistics and the quantum hall effect, Phys. Rev. Lett. 53 (1984) 722–723 · 1984
Earlier work this paper cites.
doi:10.1103/PhysRevB.46.2290
X. G. Wen, A. Zee, Classification of abelian quantum hall states and matrix formulation of topological fluids, Phys. Rev. B 46 (1992) 2290–2301 · 1992
Earlier work this paper cites.
doi:10.1016/j.aop.2005.10.005
A. Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics 321 (1) (2006) 2 – 111, january Special Issue · 2005
Earlier work this paper cites.
doi:10.1103/PhysRevLett.94.040402
C. Chamon, Quantum glassiness in strongly correlated clean systems: An example of topological overprotection, Phys. Rev. Lett. 94 (2005) 040402 · 2005
Earlier work this paper cites.
doi:10.1103/PhysRevB.74.224433
C. Xu, Gapless bosonic excitation without symmetry breaking: An algebraic spin liquid with soft gravitons, Phys. Rev. B 74 (2006) 224433 · 2006
Earlier work this paper cites.
doi:10.1016/j.aop.2010.11.002
S. Bravyi, B. Leemhuis, B. Terhal, Topological order in an exactly solvable 3D spin model, Annals of Physics 326 (2011) 839–866 · 2010
Earlier work this paper cites.
doi:10.1103/PhysRevA.83.042330
J. Haah, Local stabilizer codes in three dimensions without string logical operators, Phys. Rev. A 83 (2011) 042330 · 2011
Earlier work this paper cites.
doi:10.1103/PhysRevLett.107.150504
S. Bravyi, J. Haah, Energy landscape of 3d spin hamiltonians with topological order, Phys. Rev. Lett. 107 (2011) 150504 · 2011
Earlier work this paper cites.
doi:10.1103/PhysRevB.88.125122
B. Yoshida, Exotic topological order in fractal spin liquids, Phys. Rev. B 88 (2013) 125122 · 2013
Earlier work this paper cites.
doi:10.1103/PhysRevLett.113.080403
C. Wang, M. Levin, Braiding statistics of loop excitations in three dimensions, Phys. Rev. Lett. 113 (2014) 080403 · 2014
Earlier work this paper cites.
doi:10.1103/PhysRevX.4.031048
S. Jiang, A. Mesaros, Y. Ran, Generalized modular transformations in ( 3 + 1 ) D (3+1)\mathrm{D} topologically ordered phases and triple linking invariant of loop braiding, Phys. Rev. X 4 (2014) 031048 · 2014
Earlier work this paper cites.
doi:10.1103/PhysRevB.91.035134
J. C. Wang, X.-G. Wen, Non-abelian string and particle braiding in topological order: Modular SL ( 3 , ℤ ) \mathrm{SL}(3,\mathbb{Z}) representation and ( 3 + 1 ) (3+1) -dimensional twisted gauge theory, Phys. Rev. B 91 (2015) 035134 · 2015
Earlier work this paper cites.
doi:10.1103/PhysRevB.92.235136
S. Vijay, J. Haah, L. Fu, A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations, Phys. Rev. B 92 (2015) 235136 · 2015
Cited alongside, same era.
doi:10.1103/PhysRevB.91.165119
C. Wang, M. Levin, Topological invariants for gauge theories and symmetry-protected topological phases, Phys. Rev. B 91 (2015) 165119 · 2015
Cited alongside, same era.
doi:10.1103/PhysRevB.94.235157
S. Vijay, J. Haah, L. Fu, Fracton topological order, generalized lattice gauge theory, and duality, Phys. Rev. B 94 (2016) 235157 · 2016
Cited alongside, same era.
doi:10.1103/PhysRevB.94.155128
D. J. Williamson, Fractal symmetries: Ungauging the cubic code, Phys. Rev. B 94 (2016) 155128 · 2016
Cited alongside, same era.
doi:10.1103/PhysRevB.95.245126
H. Ma, E. Lake, X. Chen, M. Hermele, Fracton topological order via coupled layers, Phys. Rev. B 95 (2017) 245126 · 2017
Cited alongside, same era.
doi:10.1103/PhysRevB.96.165105
T. H. Hsieh, G. B. Halász, Fractons from partons, Phys. Rev. B 96 (2017) 165105 · 2017
doi:10.1103/PhysRevB.96.125151
M. Pretko, Higher-spin witten effect and two-dimensional fracton phases, Phys. Rev. B 96 (2017) 125151 · 2017
Later among the works it cites.
doi:10.1103/PhysRevD.96.024051
M. Pretko, Emergent gravity of fractons: Mach’s principle revisited, Phys. Rev. D 96 (2017) 024051 · 2017
Later among the works it cites.
doi:10.1103/PhysRevB.97.165106
K. Slagle, Y. B. Kim, X-cube model on generic lattices: Fracton phases and geometric order, Phys. Rev. B 97 (2018) 165106 · 2018
Closest in time.
doi:10.1103/PhysRevB.97.041110
T. Devakul, S. A. Parameswaran, S. L. Sondhi, Correlation function diagnostics for type-i fracton phases, Phys. Rev. B 97 (2018) 041110 · 2018
Closest in time.
doi:10.1103/PhysRevB.97.134426
A. T. Schmitz, H. Ma, R. M. Nandkishore, S. A. Parameswaran, Recoverable information and emergent conservation laws in fracton stabilizer codes, Phys. Rev. B 97 (2018) 134426 · 2018
Closest in time.
doi:10.1103/PhysRevB.97.144106
B. Shi, Y.-M. Lu, Deciphering the nonlocal entanglement entropy of fracton topological orders, Phys. Rev. B 97 (2018) 144106 · 2018
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Cited alongside, same era.
doi:10.1103/PhysRevLett.119.257202
G. B. Halász, T. H. Hsieh, L. Balents, Fracton topological phases from strongly coupled spin chains, Phys. Rev. Lett. 119 (2017) 257202 · 2017
Cited alongside, same era.
doi:10.1103/PhysRevB.96.165106
K. Slagle, Y. B. Kim, Fracton topological order from nearest-neighbor two-spin interactions and dualities, Phys. Rev. B 96 (2017) 165106 · 2017
Cited alongside, same era.
doi:10.1103/PhysRevB.96.224429
O. Petrova, N. Regnault, Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order, Phys. Rev. B 96 (2017) 224429 · 2017
Cited alongside, same era.
doi:10.1103/PhysRevB.96.195139
K. Slagle, Y. B. Kim, Quantum field theory of x-cube fracton topological order and robust degeneracy from geometry, Phys. Rev. B 96 (2017) 195139 · 2017
Cited alongside, same era.
doi:10.1103/PhysRevB.95.155133
A. Prem, J. Haah, R. Nandkishore, Glassy quantum dynamics in translation invariant fracton models, Phys. Rev. B 95 (2017) 155133 · 2017
Cited alongside, same era.
doi:10.1103/PhysRevB.95.115139
M. Pretko, Subdimensional particle structure of higher rank u ( 1 ) u(1) spin liquids, Phys. Rev. B 95 (2017) 115139 · 2017
Cited alongside, same era.
Closest in time.
doi:10.1103/PhysRevB.97.125101
H. Ma, A. T. Schmitz, S. A. Parameswaran, M. Hermele, R. M. Nandkishore, Topological entanglement entropy of fracton stabilizer codes, Phys. Rev. B 97 (2018) 125101 · 2018
Closest in time.
doi:10.1103/PhysRevB.97.125102
H. He, Y. Zheng, B. A. Bernevig, N. Regnault, Entanglement entropy from tensor network states for stabilizer codes, Phys. Rev. B 97 (2018) 125102 · 2018
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doi:10.1103/PhysRevLett.120.195301
M. Pretko, L. Radzihovsky, Fracton-elasticity duality, Phys. Rev. Lett. 120 (2018) 195301 · 2018
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doi:10.1103/PhysRevB.97.235112
D. Bulmash, M. Barkeshli, Higgs mechanism in higher-rank symmetric u(1) gauge theories, Phys. Rev. B 97 (2018) 235112 · 2018
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doi:10.1103/PhysRevB.97.235102
S. Pai, M. Pretko, Fractonic line excitations: An inroad from three-dimensional elasticity theory, Phys. Rev. B 97 (2018) 235102 · 2018
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doi:10.1103/PhysRevX.8.011054
M. Cheng, N. Tantivasadakarn, C. Wang, Loop braiding statistics and interacting fermionic symmetry-protected topological phases in three dimensions, Phys. Rev. X 8 (2018) 011054 · 2018
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