nLab Xiao-Liang Qi

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Selected writings

On topological insulators and topological superconductors:

• Xiao-Liang Qi, Shou Cheng Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83 (2011) 1057-1110 [arXiv:1008.2026, doi:10.1103/RevModPhys.83.1057]

On wreath products of a cyclic with a symmetric group as analogs of (anyon) braid groups in dimension $\gt 2$:

• Michael Freedman, Matthew B. Hastings, Chetan Nayak, Xiao-Liang Qi, Kevin Walker, Zhenghan Wang: Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions, Phys. Rev. B 83 115132 (2011) [doi:10.1103/PhysRevB.83.115132, arXiv:1005.0583]

On genon defect anyons:

• Maissam Barkeshli, Xiao-Liang Qi: Topological Nematic States and Non-Abelian Lattice Dislocations, Phys. Rev. X 2 031013 (2012) [doi:10.1103/PhysRevX.2.031013, arXiv:1112.3311]

• Maissam Barkeshli, Chao-Ming Jian, Xiao-Liang Qi: Twist defects and projective non-Abelian braiding statistics, Phys. Rev. B 87 (2013) 045130 [doi:10.1103/PhysRevB.87.045130, arXiv:1208.4834]

• Xiao-Liang Qi: Defects in topologically ordered states, talk notes (2014) [pdf, pdf]

and specifically in quantum Hall systems:

• Maissam Barkeshli, Xiao-Liang Qi: Synthetic Topological Qubits in Conventional Bilayer Quantum Hall Systems, Phys. Rev. X 4 (2014) 041035 [doi:10.1103/PhysRevX.4.041035, arXiv:1302.2673]

On the idea of topological quantum computing with Majorana zero modes:

• Biao Lian, Xiao-Qi Sun, Abolhassan Vaezi, Xiao-Liang Qi, Shou-Cheng Zhang: Topological quantum computation based on chiral Majorana fermions, PNA 115 43 (2018) 10938-10942 [doi:10.1073/pnas.1810003115]

On Shou-cheng Zhang:

• Biao Lian, Chao-Xing Liu, Xiao-Qi Sun, Steven Kivelson, Eugene Demler, Xiao-Liang Qi: To See a World in a Grain of Sand – The Scientific Life of Shoucheng Zhang, Memorial Volume for Shoucheng Zhang (2021) xxi-lxvii [arXivL2202.02875, doi:10.1142/9789811231711_0002]

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