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We introduce and develop a theory of fusion and statistical processes of gapped excitations in Abelian fracton phases.
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Xiao-Gang Wen, “A theory of 2+1D bosonic topological orders,” National Science Review 3
2015
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Sagar Vijay, Jeongwan Haah, and Liang Fu, “Fracton topological order, generalized lattice gauge theory, and duality,” Phys. Rev. B 94
2016
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2016
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Jeongwan Haah, “Algebraic Methods for Quantum Codes on Lattices,” Revista Colombiana de Matemáticas 50
2016
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Michael Pretko, “Subdimensional particle structure of higher rank u ( 1 ) u(1) spin liquids,” Phys. Rev. B 95
2017
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Han Ma, Ethan Lake, Xie Chen, and Michael Hermele, “Fracton topological order via coupled layers,” Phys. Rev. B 95
2017
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Kevin Slagle and Yong Baek Kim, “Quantum field theory of x-cube fracton topological order and robust degeneracy from geometry,” Phys. Rev. B 96
2017
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2018
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Abhinav Prem, Sagar Vijay, Yang-Zhi Chou, Michael Pretko, and Rahul M. Nandkishore, “Pinch point singularities of tensor spin liquids,” 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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Huan He, Yunqin Zheng, B. Andrei Bernevig, and Nicolas Regnault, “Entanglement entropy from tensor network states for stabilizer codes,” Phys. Rev. B 97
2018
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Trithep Devakul, S. A. Parameswaran, and S. L. Sondhi, “Correlation function diagnostics for type-i fracton phases,” Phys. Rev. B 97
2018
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Rahul M. Nandkishore and Michael Hermele, “Fractons,” Annual Review of Condensed Matter Physics 10
2019
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Arpit Dua, Dominic J. Williamson, Jeongwan Haah, and Meng Cheng, “Compactifying fracton stabilizer models,” Phys. Rev. B 99
2019
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2019
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