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Fracton topological order hosts fractionalized point-like excitations (e.g., fractons) that have restricted mobility.
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2014
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Peng Ye and Xiao-Gang Wen, “Constructing symmetric topological phases of bosons in three dimensions via fermionic projective construction and dyon condensation,” Phys. Rev. B 89
2014
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Xie Chen, Yuan-Ming Lu, and Ashvin Vishwanath, “Symmetry-protected topological phases from decorated domain walls,” Nature Communications 5
2014
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2015
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Sagar Vijay, Jeongwan Haah, and Liang Fu, “A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations,” Phys. Rev. B 92
2015
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Yidun Wan, Juven C. Wang, and Huan He, “Twisted gauge theory model of topological phases in three dimensions,” Phys. Rev. B 92
2015
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Juven C. Wang and Xiao-Gang 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
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Juven C. Wang, Zheng-Cheng Gu, and Xiao-Gang Wen, “Field-theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology, and beyond,” Phys. Rev. Lett. 114
2015
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2018
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2018
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Han Ma, Michael Hermele, and Xie Chen, “Fracton topological order from the higgs and partial-confinement mechanisms of rank-two gauge theory,” Phys. Rev. B 98
2018
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2018
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Michael Pretko, “The fracton gauge principle,” Phys. Rev. B 98
2018
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Shriya Pai and Michael Pretko, “Fractonic line excitations: An inroad from three-dimensional elasticity theory,” Phys. Rev. B 97
2018
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Michael Pretko and Rahul M. Nandkishore, “Localization of extended quantum objects,” Phys. Rev. B 98
2018
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Bowen Shi and Yuan-Ming Lu, “Deciphering the nonlocal entanglement entropy of fracton topological orders,” Phys. Rev. B 97
2018
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Tian Lan, Liang Kong, and Xiao-Gang Wen, “Classification of ( 3 + 1 ) D \mathbf{(}3+1\mathbf{)}\mathrm{D} bosonic topological orders: The case when pointlike excitations are all bosons,” Phys. Rev. X 8
2018
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AtMa P. O. Chan, Peng Ye, and Shinsei Ryu, “Braiding with borromean rings in ( 3 + 1 3+1 )-dimensional spacetime,” Phys. Rev. Lett. 121
2018
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Xueda Wen, Huan He, Apoorv Tiwari, Yunqin Zheng, and Peng Ye, “Entanglement entropy for (3+1)-dimensional topological order with excitations,” Phys. Rev. B 97
2018
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Peng Ye, “Three-dimensional anomalous twisted gauge theories with global symmetry: Implications for quantum spin liquids,” Phys. Rev. B 97
2018
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Chao-Ming Jian and Cenke Xu, “Interacting topological insulators with synthetic dimensions,” Phys. Rev. X 8
2018
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Kevin Slagle, David Aasen, and Dominic Williamson, “Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order,” SciPost Phys. 6
2019
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Abhinav Prem, Sheng-Jie Huang, Hao Song, and Michael Hermele, “Cage-net fracton models,” Phys. Rev. X 9
2019
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2019
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2019
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2019
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Hao Song, Abhinav Prem, Sheng-Jie Huang, and M. A. Martin-Delgado, “Twisted fracton models in three dimensions,” Phys. Rev. B 99
2019
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Tian Lan and Xiao-Gang Wen, “Classification of 3 + 1 D 3+1\mathrm{D} bosonic topological orders (ii): The case when some pointlike excitations are fermions,” Phys. Rev. X 9
2019
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