nLab Zheng-Cheng Gu

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Selected writings

On string-net models via tensor networks:

• Zheng-Cheng Gu, Michael Levin, Brian Swingle, Xiao-Gang Wen, Tensor-product representations for string-net condensed states, Phys. Rev. B 79 (2009) 085118 [doi:10.1103/PhysRevB.79.085118]

Co-predicting the fractional quantum anomalous Hall effect:

• Kai Sun, Zheng-Cheng Gu, Hosho Katsura, Sankar Das Sarma: Nearly Flatbands with Nontrivial Topology, Phys. Rev. Lett. 106 (2011) 236803 [arXiv:1012.5864, doi:10.1103/PhysRevLett.106.236803]

On braid group-effects in 2d symmetry protected topological phases:

• Michael Levin, Zheng-Cheng Gu, Braiding statistics approach to symmetry-protected topological phases, Phys. Rev. B 86 (2012) 115109 (doi:10.1103/PhysRevB.86.115109)

Introducing the notion of symmetry protected topological phases and of topological order:

• Zheng-Cheng Gu, Xiao-Gang Wen, Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order, Phys. Rev. B 80 155131 (2009) $[$arXiv:0903.1069, doi:10.1103/PhysRevB.80.155131$]$

Suggestion that topological order goes along with long-range entanglement:

• Xie Chen, Zheng-Cheng Gu, Xiao-Gang Wen, Section V of: Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order Phys. Rev. B 82 155138 (2010) $[$arXiv:1004.3835$]$

Claim that group cohomology classifies some symmetry protected topological phases:

• Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen, Symmetry protected topological orders and the group cohomology of their symmetry group, Phys. Rev. B 87 (2013) 155114 $[$arXiv:1106.4772$]$

• Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen, Symmetry protected topological orders and the group cohomology of their symmetry group, Science 338 (2012) 1604-1606 (arXiv:10.1103/PhysRevB.87.155114)

• Zheng-Cheng Gu, Xiao-Gang Wen, Symmetry-protected topological orders for interacting fermions – fermionic topological non-linear sigma-models and a group super-cohomology theory, Phys. Rev. B 90 115141 (2014) $[$arXiv:1201.2648, doi:10.1103/PhysRevB.90.115141$]$

• Juven Wang, Zheng-Cheng Gu, Xiao-Gang Wen, Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond, Phys. Rev. Lett. 114 (2015) 031601 [arxiv:1405.7689, doi:10.1103/PhysRevLett.114.031601]

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