Michael Levin in nLab

Selected writings

This page is about the mathematical physicist Michael levin, while there is also a biologist of that name, see the entry Michael Levin (biologist). (Both authors publish on quantum systems.)

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• Institute page

Selected writings

Introducing string-net models and the Levin-Wen model:

• Michael Levin, Xiao-Gang Wen, String-net condensation: A physical mechanism for topological phases, Phys.Rev. B71 (2005) 045110 (arXiv:cond-mat/0404617)

Introducing topological entanglement entropy in view of string-net models:

• Michael Levin, Xiao-Gang Wen, Detecting topological order in a ground state wave function, Phys. Rev. Lett., 96, 110405 (2006) (arXiv:cond-mat/0510613)

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]]

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)

On edge modes in fractional quantum Hall systems via abelian Chern-Simons theory:

• Michael Levin: Protected edge modes without symmetry, Phys. Rev. X 3 021009 (2013) [doi:10.1103/PhysRevX.3.021009, arXiv:1301.7355]

On loop braid group-representations in models of solid state physics:

• Chenjie Wang, Michael Levin, Braiding Statistics of Loop Excitations in Three Dimensions, Phys. Rev. Lett. 113 (2014) 080403 (doi:10.1103/PhysRevLett.113.080403)

On string-net models:

• Chien-Hung Lin, Michael Levin, Fiona J. Burnell, Generalized string-net models: A thorough exposition, Phys. Rev. B 103 (2021) 195155 [arXiv:2012.14424, doi:10.1103/PhysRevB.103.195155]