nLab Maissam Barkeshli

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Selected writings

On orbifolded bilayer fractional quantum Hall systems descrived by $2 \times 2$ K-matrix formalism:

• Maissam Barkeshli, Xiao-Gang Wen: Bilayer quantum Hall phase transitions and the orbifold non-Abelian fractional quantum Hall states, Phys. Rev. B 95 (2017) 085135 [doi:10.1103/PhysRevB.95.085135, arXiv:1010.4270]

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]

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]

and related to modular transformations:

• Maissam Barkeshli, Michael Freedman: Modular transformations through sequences of topological charge projections, Phys. Rev. B 94 (2016) 165108 [doi:10.1103/PhysRevB.94.165108, arXiv:1602.01093]

On symmetry protected topological phases and their topological orders:

• Maissam Barkeshli, Parsa Bonderson, Meng Cheng, Zhenghan Wang, Symmetry Fractionalization, Defects, and Gauging of Topological Phases, Phys. Rev. B 100 115147 (2019) [arXiv:1410.4540, doi:10.1103/PhysRevB.100.115147]

On crystalline fractional Chern insulators:

• Yuxuan Zhang, Maissam Barkeshli: Fractionally Quantized Electric Polarization and Discrete Shift of Crystalline Fractional Chern Insulators, Phys. Rev. B [arXiv:2411.04171, doi:10.1103/qslx-ybf6]

• Ryohei Kobayashi, Yuxuan Zhang, Naren Manjunath, Maissam Barkeshli: Crystalline invariants of fractional Chern insulators, Phys. Rev. B (2025) [arXiv:2405.17431, doi:10.1103/8bpm-qbzp]

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