# nLab Xiao-Gang Wen

Xiao-Gang Wen is the BMO Financial Group Isaac Newton Chair in Theoretical Physics at Perimeter Institute. His expertise is in condensed matter theory of strongly correlated electronic systems and topological phases of matter.

Interview on topological order:

• Philip Ball, Making the world from topological order, National Science Review 6 2 (2019) 227–230 $[$doi:10.1093/nsr/nwy116$]$

## Selected writings

Introducing and developing the notion of topological order:

• Xiao-Gang Wen, Vacuum degeneracy of chiral spin states in compactified space, Phys. Rev. B 40 (1989) 7387(R) $[$doi:10.1103/PhysRevB.40.7387$]$

• Xiao-Gang Wen, Q. Niu, Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann surfaces, Phys. Rev. B 41 (1990) 9377 $[$doi:10.1103/PhysRevB.41.9377$]$

• Xiao-Gang Wen, Non-Abelian statistics in the fractional quantum Hall states, Phys. Rev. Lett. 66 (1991) 802 (doi:10.1103/PhysRevLett.66.802)

• Xiao-Gang Wen, Topological order and edge structure of $\nu = 1/2$ quantum Hall state, Phys. Rev. Lett. 70 (1993) 355 $[$doi:10.1103/PhysRevLett.70.355$]$

• Xiao-Gang Wen, Topological orders and Edge excitations in FQH states, Advances in Physics 44 (1995) 405 $[$arXiv:cond-mat/9506066v2, doi:10.1080/00018739500101566$]$

Early review:

• Xiao-Gang WenTopological orders and Chern-Simons theory in strongly correlated quantum liquid, International Journal of Modern Physics B 05 10 (1991) 1641-1648 $[$doi:10.1142/S0217979291001541$]$

The additional requirement that the Berry connection be non-abelian (and/or the presence of anyons):

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$]$

On the quantum adiabatic theorem in the context of topological phases of matter:

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

Introducing the 3d toric code:

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

Introducing the notion of symmetry protected topological phases:

On the classification of free fermion SPTs:

• Xiao-Gang Wen, Symmetry-protected topological phases in noninteracting fermion systems, Phys. Rev. B 85 (2012) 085103 $[$doi:10.1103/PhysRevB.85.085103$]$
• Peng Ye, Xiao-Gang Wen, Projective construction of two-dimensional symmetry-protected topological phases with $\mathrm{U}(1)$, $SO(3)$, or $SU(2)$ symmetries, Phys. Rev. B 87 195128 (2013) $[$doi:10.1103/PhysRevB.87.195128, arXiv:1212.2121$]$

Claim that group cohomology classifies some symmetry protected topological phases:

• Xiao-Gang Wen, Topological orders and edge excitations in FQH states, Advances in Physics 44, 405 (1995). cond-mat/9506066

• Xiao-Gang Wen, Vacuum degeneracy of chiral spin state in compactified spaces, Phys. Rev. B, 40, 7387 (1989),

• Xiao-Gang Wen, Topological orders in rigid states, Int. J. Mod. Phys. B4, 239 (1990)

• Xiao-Gang Wen, Qian Niu, Ground state degeneracy of the FQH states in presence of random potential and on high genus Riemann surfaces, Phys. Rev. B41, 9377 (1990)

• E. Keski-Vakkuri, Xiao-Gang Wen, Ground state structure of hierarchical QH states on torus and modular transformation, Int. J. Mod. Phys. B7, 4227 (1993) pdf

• Xiao-Gang Wen, Mean field theory of spin liquid states with finite energy gap and topological orders, Phys. Rev. B 44 2664 (1991).

• Xiao-Gang Wen, Non-Abelian Statistics in the FQH states, pdf Phys. Rev. Lett. 66, 802 (1991).

• Xiao-Gang Wen, Yong-Shi Wu, Chiral operator product algebra hidden in certain FQH states, Nucl. Phys. B419, 455 (1994), pdf

• Xie Chen, Zheng-Cheng Gu, Xiao-Gang Wen, Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order Phys. Rev. B 82, 155138 (2010)

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

• Liang Kong, Tian Lan, Xiao-Gang Wen, Zhi-Hao Zhang, Hao Zheng, Algebraic higher symmetry and categorical symmetry – a holographic and entanglement view of symmetry (arXiv:2005.14178)

category: people

Last revised on May 27, 2022 at 13:57:55. See the history of this page for a list of all contributions to it.