publications

2026

1. Fidelity Strange Correlators for Average Symmetry-Protected Topological Phases

   Jian-Hao Zhang, Yang Qi, and Zhen Bi

   Science Bulletin, 2026

   Bib

   @article{zhang2025fidelity,
     title = {Fidelity Strange Correlators for Average Symmetry-Protected Topological Phases},
     author = {Zhang, Jian-Hao and Qi, Yang and Bi, Zhen},
     journal = {Science Bulletin},
     volume = {71},
     pages = {688--691},
     year = {2026}
   }

2. Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction

   S. Srinivasan, J.-H. Zhang, Y. Qi, and Zhen Bi

   2026

   Accepted, Physical Review B

   arXiv Bib

   @misc{srinivasan2025classification,
     title = {Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction},
     author = {Srinivasan, S. and Zhang, J.-H. and Qi, Y. and Bi, Zhen},
     year = {2026},
     note = {Accepted, Physical Review B}
   }

3. Indirect-Tunneling-Enabled Spontaneous Time-Reversal Symmetry Breaking and Josephson Diode Effect in TiN/Al2O3/Hf0.8Zr0.2O2/Nb Tunnel Junctions

   S. Ding, J. Yao, Zhen Bi, Q. Tran, B. Liu, Q. Li, S. Trolier-McKinstry, T. N. Jackson, and Y. Liu

   Physical Review B, 2026

   DOI Bib

   @article{ding2026indirect,
     title = {Indirect-Tunneling-Enabled Spontaneous Time-Reversal Symmetry Breaking and Josephson Diode Effect in TiN/Al2O3/Hf0.8Zr0.2O2/Nb Tunnel Junctions},
     author = {Ding, S. and Yao, J. and Bi, Zhen and Tran, Q. and Liu, B. and Li, Q. and Trolier-McKinstry, S. and Jackson, T. N. and Liu, Y.},
     journal = {Physical Review B},
     volume = {113},
     pages = {134510},
     year = {2026},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.113.134510}
   }

4. Generalized Symmetry-Protected Topological Phases in Mixed States from Gauging Dualities

   L. Li, Zhen Bi, and W. Cao

   2026

   arXiv Bib

   @misc{li2026generalized,
     title = {Generalized Symmetry-Protected Topological Phases in Mixed States from Gauging Dualities},
     author = {Li, L. and Bi, Zhen and Cao, W.},
     year = {2026},
   }

5. Strong-to-Weak Spontaneous Symmetry Breaking in a (2+1)D Transverse-Field Ising Model under Decoherence

   Y.-M. Ding, Y. Guo, Zhen Bi, and Z. Yan

   2026

   Submitted to Physical Review Letters

   arXiv Bib

   @misc{ding2026swssb,
     title = {Strong-to-Weak Spontaneous Symmetry Breaking in a (2+1)D Transverse-Field Ising Model under Decoherence},
     author = {Ding, Y.-M. and Guo, Y. and Bi, Zhen and Yan, Z.},
     year = {2026},
     note = {Submitted to Physical Review Letters}
   }

6. Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

   A. Anakru, L. Li, S. Srinivasan, and Zhen Bi

   2026

   Submitted to Physical Review Letters

   arXiv Bib

   @misc{anakru2026matrix,
     title = {Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond},
     author = {Anakru, A. and Li, L. and Srinivasan, S. and Bi, Zhen},
     year = {2026},
     note = {Submitted to Physical Review Letters}
   }

7. Dissipative Preparation of Correlated Quantum States in Dipolar Rydberg Arrays

   M. Tian, Zhen Bi, T. Iadecola, and B. Gadway

   2026

   Submitted to Physical Review Letters

   arXiv Bib

   @misc{tian2026dissipative,
     title = {Dissipative Preparation of Correlated Quantum States in Dipolar Rydberg Arrays},
     author = {Tian, M. and Bi, Zhen and Iadecola, T. and Gadway, B.},
     year = {2026},
     note = {Submitted to Physical Review Letters}
   }

2025

1. Emergent Gauge Field in Composite-Fermion Metals: A Large-Scale Microscopic Study

   A. Anakru, M. Gattu, A. C. Balram, X.-C. Wu, P. Kumar, Zhen Bi, and J. K. Jain

   Physical Review Letters, 2025

   DOI Bib

   @article{anakru2025emergent,
     title = {Emergent Gauge Field in Composite-Fermion Metals: A Large-Scale Microscopic Study},
     author = {Anakru, A. and Gattu, M. and Balram, A. C. and Wu, X.-C. and Kumar, P. and Bi, Zhen and Jain, J. K.},
     journal = {Physical Review Letters},
     volume = {135},
     number = {24},
     pages = {246503},
     year = {2025},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevLett.135.246503}
   }

2. Topological Holography for Mixed-State Phases and Phase Transitions

   R. Luo, Y.-N. Wang, and Zhen Bi

   PRX Quantum, 2025

   DOI Bib

   @article{luo2025topological,
     title = {Topological Holography for Mixed-State Phases and Phase Transitions},
     author = {Luo, R. and Wang, Y.-N. and Bi, Zhen},
     journal = {PRX Quantum},
     volume = {6},
     number = {4},
     pages = {040358},
     year = {2025},
     publisher = {American Physical Society},
     doi = {10.1103/PRXQuantum.6.040358}
   }

3. Intrinsic (Axion) Statistical Topological Insulator

   X. Chen, F.-J. Wang, Zhen Bi, and Z.-D. Song

   Physical Review Letters, 2025

   DOI Bib

   @article{chen2025intrinsic,
     title = {Intrinsic (Axion) Statistical Topological Insulator},
     author = {Chen, X. and Wang, F.-J. and Bi, Zhen and Song, Z.-D.},
     journal = {Physical Review Letters},
     volume = {134},
     number = {22},
     pages = {226601},
     year = {2025},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevLett.134.226601}
   }

4. Holographic View of Mixed-State Symmetry-Protected Topological Phases in Open Quantum Systems

   S. Sun, J.-H. Zhang, Zhen Bi, and Y. You

   PRX Quantum, 2025

   DOI Bib

   @article{sun2025holographic,
     title = {Holographic View of Mixed-State Symmetry-Protected Topological Phases in Open Quantum Systems},
     author = {Sun, S. and Zhang, J.-H. and Bi, Zhen and You, Y.},
     journal = {PRX Quantum},
     volume = {6},
     number = {2},
     pages = {020333},
     year = {2025},
     publisher = {American Physical Society},
     doi = {10.1103/PRXQuantum.6.020333}
   }

5. Strong-to-Weak Spontaneous Breaking of 1-Form Symmetry and Intrinsically Mixed Topological Order

   C. Zhang, Y. Xu, J.-H. Zhang, C. Xu, Zhen Bi, and Z.-X. Luo

   Physical Review B, 2025

   DOI Bib

   @article{zhang2025strong,
     title = {Strong-to-Weak Spontaneous Breaking of 1-Form Symmetry and Intrinsically Mixed Topological Order},
     author = {Zhang, C. and Xu, Y. and Zhang, J.-H. and Xu, C. and Bi, Zhen and Luo, Z.-X.},
     journal = {Physical Review B},
     volume = {111},
     number = {11},
     pages = {115137},
     year = {2025},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.111.115137}
   }

6. Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States

   L. Lessa, R. Ma, J.-H. Zhang, Zhen Bi, M. Cheng, and C. Wang

   PRX Quantum, 2025

   DOI Bib

   @article{lessa2025strong,
     title = {Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States},
     author = {Lessa, L. and Ma, R. and Zhang, J.-H. and Bi, Zhen and Cheng, M. and Wang, C.},
     journal = {PRX Quantum},
     volume = {6},
     number = {1},
     pages = {010344},
     year = {2025},
     publisher = {American Physical Society},
     doi = {10.1103/PRXQuantum.6.010344}
   }

7. Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

   Y. Guo, J.-H. Zhang, H.-R. Zhang, S. Yang, and Zhen Bi

   Physical Review X, 2025

   DOI Bib

   @article{guo2025locally,
     title = {Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States},
     author = {Guo, Y. and Zhang, J.-H. and Zhang, H.-R. and Yang, S. and Bi, Zhen},
     journal = {Physical Review X},
     volume = {15},
     number = {2},
     pages = {021060},
     year = {2025},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevX.15.021060}
   }

8. Topological Phases with Average Symmetries: The Decohered, the Disordered, and the Intrinsic

   R. Ma, J.-H. Zhang, Zhen Bi, M. Cheng, and C. Wang

   Physical Review X, 2025

   DOI Bib

   @article{ma2025topological,
     title = {Topological Phases with Average Symmetries: The Decohered, the Disordered, and the Intrinsic},
     author = {Ma, R. and Zhang, J.-H. and Bi, Zhen and Cheng, M. and Wang, C.},
     journal = {Physical Review X},
     volume = {15},
     number = {2},
     pages = {021062},
     year = {2025},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevX.15.021062}
   }

9. Engineering Moiré Kagome Superlattices in Twisted Transition Metal Dichalcogenides

   A. Fedorko, C.-X. Liu, and Zhen Bi

   2025

   arXiv Bib

   @misc{fedorko2025engineering,
     title = {Engineering Moir{\'e} Kagome Superlattices in Twisted Transition Metal Dichalcogenides},
     author = {Fedorko, A. and Liu, C.-X. and Bi, Zhen},
     year = {2025},
   }

10. Intertwining Josephson and Vortex Topologies in Conventional Superconductors

    Z. Chen, J. Li, L.-H. Hu, Zhen Bi, and R.-X. Zhang

    2025

    Submitted to Physical Review X

    arXiv Bib

    @misc{chen2025intertwining,
      title = {Intertwining Josephson and Vortex Topologies in Conventional Superconductors},
      author = {Chen, Z. and Li, J. and Hu, L.-H. and Bi, Zhen and Zhang, R.-X.},
      year = {2025},
      note = {Submitted to Physical Review X}
    }

2024

1. Topological Phases and Phase Transitions with Dipolar Symmetry Breaking

   A. Anakru and Zhen Bi

   2024

   arXiv Bib

   @misc{anakru2024topological,
     title = {Topological Phases and Phase Transitions with Dipolar Symmetry Breaking},
     author = {Anakru, A. and Bi, Zhen},
     year = {2024},
   }

2. Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe_2

   C. Xu, J. Li, Y. Xu, Zhen Bi, and Y. Zhang

   Proceedings of the National Academy of Sciences, 2024

   DOI Bib

   @article{xu2024maximally,
     title = {Maximally Localized {W}annier Orbitals, Interaction Models and Fractional Quantum Anomalous {H}all Effect in Twisted Bilayer {MoTe$_2$}},
     author = {Xu, C. and Li, J. and Xu, Y. and Bi, Zhen and Zhang, Y.},
     journal = {Proceedings of the National Academy of Sciences},
     volume = {121},
     number = {8},
     pages = {e2316749121},
     year = {2024},
     doi = {10.1073/pnas.2316749121}
   }

3. Topological Minibands and Interaction-Driven Quantum Anomalous Hall State in Topological-Insulator-Based Moiré Heterostructures

   K. Yang, Z. Xu, Y. Feng, F. Schindler, Y. Xu, Zhen Bi, B. A. Bernevig, P. Tang, and C.-X. Liu

   Nature Communications, 2024

   Bib

   @article{yang2024topological,
     title = {Topological Minibands and Interaction-Driven Quantum Anomalous Hall State in Topological-Insulator-Based Moir{\'e} Heterostructures},
     author = {Yang, K. and Xu, Z. and Feng, Y. and Schindler, F. and Xu, Y. and Bi, Zhen and Bernevig, B. A. and Tang, P. and Liu, C.-X.},
     journal = {Nature Communications},
     volume = {15},
     pages = {2670},
     year = {2024}
   }

2023

1. Triggering Boundary Phase Transitions through Bulk Measurements in 2D Cluster States

   Y. Guo, J. Zhang, Zhen Bi, and S. Yang

   Physical Review Research, 2023

   DOI Bib

   @article{guo2023triggering,
     title = {Triggering Boundary Phase Transitions through Bulk Measurements in 2{D} Cluster States},
     author = {Guo, Y. and Zhang, J. and Bi, Zhen and Yang, S.},
     journal = {Physical Review Research},
     volume = {5},
     pages = {043069},
     year = {2023},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevResearch.5.043069}
   }

2. Fractonic Higher-Order Topological Phases in Open Quantum Systems

   J.-H. Zhang, K. Ding, S. Yang, and Zhen Bi

   Physical Review B, 2023

   DOI Bib

   @article{zhang2023fractonic,
     title = {Fractonic Higher-Order Topological Phases in Open Quantum Systems},
     author = {Zhang, J.-H. and Ding, K. and Yang, S. and Bi, Zhen},
     journal = {Physical Review B},
     volume = {108},
     pages = {155123},
     year = {2023},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.108.155123}
   }

3. Non-Fermi Liquids from Dipolar Symmetry Breaking

   A. Anakru and Zhen Bi

   Physical Review B, 2023

   DOI Bib

   @article{anakru2023nonfermi,
     title = {Non-{F}ermi Liquids from Dipolar Symmetry Breaking},
     author = {Anakru, A. and Bi, Zhen},
     journal = {Physical Review B},
     volume = {108},
     pages = {165112},
     year = {2023},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.108.165112}
   }

4. Classification and Construction of Interacting Fractonic Higher-Order Topological Phases

   J.-H. Zhang, M. Cheng, and Zhen Bi

   Physical Review B, 2023

   DOI Bib

   @article{zhang2023classification,
     title = {Classification and Construction of Interacting Fractonic Higher-Order Topological Phases},
     author = {Zhang, J.-H. and Cheng, M. and Bi, Zhen},
     journal = {Physical Review B},
     volume = {108},
     pages = {045133},
     year = {2023},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.108.045133}
   }

2022

1. Interaction-Enabled Fractonic Higher-Order Topological Phases

   J. May-Mann, Y. You, T. L. Hughes, and Zhen Bi

   Physical Review B, 2022

   DOI Bib

   @article{maymann2022interaction,
     title = {Interaction-Enabled Fractonic Higher-Order Topological Phases},
     author = {May-Mann, J. and You, Y. and Hughes, T. L. and Bi, Zhen},
     journal = {Physical Review B},
     volume = {105},
     pages = {245122},
     year = {2022},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.105.245122}
   }

2. Decoding Measurement-Prepared Quantum Phases and Transitions: From Ising Model to Gauge Theory, and Beyond

   J. Y. Lee, W. Ji, Zhen Bi, and M. Fisher

   2022

   arXiv Bib

   @misc{lee2022decoding,
     title = {Decoding Measurement-Prepared Quantum Phases and Transitions: From Ising Model to Gauge Theory, and Beyond},
     author = {Lee, J. Y. and Ji, W. and Bi, Zhen and Fisher, M.},
     year = {2022},
   }

2021

1. Yang-Lee Edge Singularity Triggered Entanglement Transition

   S.-K. Jian, Z.-C. Yang, Zhen Bi, and X. Chen

   Physical Review B, 2021

   DOI Bib

   @article{jian2021yanglee,
     title = {{Y}ang-{L}ee Edge Singularity Triggered Entanglement Transition},
     author = {Jian, S.-K. and Yang, Z.-C. and Bi, Zhen and Chen, X.},
     journal = {Physical Review B},
     volume = {104},
     pages = {L161107},
     year = {2021},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.104.L161107}
   }

2. Excitonic Density Wave and Spin-Valley Superfluid in Bilayer Transition Metal Dichalcogenide

   Zhen Bi and Liang Fu

   Nature Communications, 2021

   Bib

   @article{bi2021excitonic,
     title = {Excitonic Density Wave and Spin-Valley Superfluid in Bilayer Transition Metal Dichalcogenide},
     author = {Bi, Zhen and Fu, Liang},
     journal = {Nature Communications},
     volume = {12},
     pages = {642},
     year = {2021}
   }

2020

1. Unconventional Ferroelectricity in Moiré Heterostructures

   Z. Zheng, Q. Ma, Zhen Bi, S. Barrera, M. Liu, N. Mao, Y. Zhang, N. Kiper, K. Watanabe, T. Taniguchi, J. Kong, W. Tisdale, R. Ashoori, N. Gedik, L. Fu, S. Xu, and P. Jarillo-Herrero

   Nature, 2020

   DOI Bib

   @article{zheng2020unconventional,
     title = {Unconventional Ferroelectricity in Moir{\'e} Heterostructures},
     author = {Zheng, Z. and Ma, Q. and Bi, Zhen and de la Barrera, S. and Liu, M. and Mao, N. and Zhang, Y. and Kiper, N. and Watanabe, K. and Taniguchi, T. and Kong, J. and Tisdale, W. and Ashoori, R. and Gedik, N. and Fu, L. and Xu, S. and Jarillo-Herrero, P.},
     journal = {Nature},
     volume = {588},
     pages = {71--76},
     year = {2020},
     doi = {10.1038/s41586-020-2970-9}
   }

2. Birefringence-Like Spin Transport via Linearly Polarized Antiferromagnetic Magnons

   J. Han, P. Zhang, Zhen Bi, Y. Fan, T. S. Safi, J. Xiang, J. Finley, L. Fu, R. Cheng, and L. Liu

   Nature Nanotechnology, 2020

   Bib

   @article{han2020birefringence,
     title = {Birefringence-Like Spin Transport via Linearly Polarized Antiferromagnetic Magnons},
     author = {Han, J. and Zhang, P. and Bi, Zhen and Fan, Y. and Safi, T. S. and Xiang, J. and Finley, J. and Fu, L. and Cheng, R. and Liu, L.},
     journal = {Nature Nanotechnology},
     volume = {15},
     pages = {563--568},
     year = {2020}
   }

3. Landau Ordering Phase Transition beyond the Landau Paradigm

   Zhen Bi, E. Lake, and T. Senthil

   Physical Review Research, 2020

   DOI Bib

   @article{bi2020landau,
     title = {Landau Ordering Phase Transition beyond the Landau Paradigm},
     author = {Bi, Zhen and Lake, E. and Senthil, T.},
     journal = {Physical Review Research},
     volume = {2},
     pages = {023031},
     year = {2020},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevResearch.2.023031}
   }

4. Collusion of Interactions and Disorder at the Superfluid-Insulator Transition: A Dirty 2d Quantum Critical Point

   H. Goldman, A. Thomson, L. Nie, and Zhen Bi

   Physical Review B, 2020

   DOI Bib

   @article{goldman2020collusion,
     title = {Collusion of Interactions and Disorder at the Superfluid-Insulator Transition: A Dirty 2{d} Quantum Critical Point},
     author = {Goldman, H. and Thomson, A. and Nie, L. and Bi, Zhen},
     journal = {Physical Review B},
     volume = {101},
     pages = {144506},
     year = {2020},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.101.144506}
   }

5. Emergent Fractons and Algebraic Quantum Liquid from Plaquette Melting Transitions

   Y. You, Zhen Bi, and M. Pretko

   Physical Review Research, 2020

   DOI Bib

   @article{you2020emergent,
     title = {Emergent Fractons and Algebraic Quantum Liquid from Plaquette Melting Transitions},
     author = {You, Y. and Bi, Zhen and Pretko, M.},
     journal = {Physical Review Research},
     volume = {2},
     pages = {013162},
     year = {2020},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevResearch.2.013162}
   }

2019

1. Superconductivity Near a Ferroelectric Quantum Critical Point in Ultra-Low-Density Dirac Materials

   V. Kozii, Zhen Bi, and J. Ruhman

   Physical Review X, 2019

   DOI Bib

   @article{kozii2019superconductivity,
     title = {Superconductivity Near a Ferroelectric Quantum Critical Point in Ultra-Low-Density Dirac Materials},
     author = {Kozii, V. and Bi, Zhen and Ruhman, J.},
     journal = {Physical Review X},
     volume = {9},
     pages = {031046},
     year = {2019},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevX.9.031046}
   }

2. Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory

   D. Williamson, Zhen Bi, and M. Cheng

   Physical Review BEditors’ Suggestion , 2019

   DOI Bib

   @article{williamson2019fractonic,
     title = {Fractonic Matter in Symmetry-Enriched {U}(1) Gauge Theory},
     author = {Williamson, D. and Bi, Zhen and Cheng, M.},
     journal = {Physical Review B},
     volume = {100},
     pages = {125150},
     year = {2019},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.100.125150},
   }

3. Designing Flat Bands by Strain

   Zhen Bi, N. Yuan, and L. Fu

   Physical Review BEditors’ Suggestion , 2019

   DOI Bib

   @article{bi2019designing,
     title = {Designing Flat Bands by Strain},
     author = {Bi, Zhen and Yuan, N. and Fu, L.},
     journal = {Physical Review B},
     volume = {100},
     pages = {035448},
     year = {2019},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.100.035448},
   }

4. Lattice Analysis of SU(2) with 1 Adjoint Dirac Flavor

   Zhen Bi, A. Grebe, G. Kanwar, P. Ledwith, D. Murphy, and M. Wagman

   2019

   Presentation at the 37th Annual International Symposium on Lattice Field Theory

   arXiv Bib

   @misc{bi2019lattice,
     title = {Lattice Analysis of {SU}(2) with 1 Adjoint Dirac Flavor},
     author = {Bi, Zhen and Grebe, A. and Kanwar, G. and Ledwith, P. and Murphy, D. and Wagman, M.},
     year = {2019},
     note = {Presentation at the 37th Annual International Symposium on Lattice Field Theory},
   }

5. An Adventure in Topological Phase Transitions in 3+1-D: Non-Abelian Deconfined Quantum Criticalities and a Possible Duality

   Zhen Bi and T. Senthil

   Physical Review X, 2019

   DOI Bib

   @article{bi2019adventure,
     title = {An Adventure in Topological Phase Transitions in {3+1-D}: Non-Abelian Deconfined Quantum Criticalities and a Possible Duality},
     author = {Bi, Zhen and Senthil, T.},
     journal = {Physical Review X},
     volume = {9},
     pages = {021034},
     year = {2019},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevX.9.021034}
   }

6. Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1D

   C.-M. Jian, Zhen Bi, and Y.-Z. You

   Physical Review B, 2019

   DOI Bib

   @article{jian2019lattice,
     title = {Lattice Construction of Duality with Non-Abelian Gauge Fields in 2+1{D}},
     author = {Jian, C.-M. and Bi, Zhen and You, Y.-Z.},
     journal = {Physical Review B},
     volume = {100},
     pages = {075109},
     year = {2019},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.100.075109}
   }

2018

1. Classification of Symmetry-Protected Phases for Interacting Fermions in Two Dimensions

   M. Cheng, Zhen Bi, Y.-Z. You, and Z.-C. Gu

   Physical Review BEditors’ Suggestion , 2018

   DOI Bib

   @article{cheng2018classification,
     title = {Classification of Symmetry-Protected Phases for Interacting Fermions in Two Dimensions},
     author = {Cheng, M. and Bi, Zhen and You, Y.-Z. and Gu, Z.-C.},
     journal = {Physical Review B},
     volume = {97},
     pages = {205109},
     year = {2018},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.97.205109},
   }

2. Deconfined Quantum Critical Point on the Triangular Lattice

   C.-M. Jian, A. Thomson, A. Rasmussen, Zhen Bi, and C. Xu

   Physical Review B, 2018

   DOI Bib

   @article{jian2018deconfined,
     title = {Deconfined Quantum Critical Point on the Triangular Lattice},
     author = {Jian, C.-M. and Thomson, A. and Rasmussen, A. and Bi, Zhen and Xu, C.},
     journal = {Physical Review B},
     volume = {97},
     pages = {195115},
     year = {2018},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.97.195115}
   }

3. Lieb-Schultz-Mattis Theorem and Its Generalizations from the Perspective of the Symmetry-Protected Topological Phase

   C.-M. Jian, Zhen Bi, and C. Xu

   Physical Review B, 2018

   DOI Bib

   @article{jian2018lieb,
     title = {{L}ieb-{S}chultz-{M}attis Theorem and Its Generalizations from the Perspective of the Symmetry-Protected Topological Phase},
     author = {Jian, C.-M. and Bi, Zhen and Xu, C.},
     journal = {Physical Review B},
     volume = {97},
     pages = {054412},
     year = {2018},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.97.054412}
   }

2017

1. A Model for Continuous Thermal Metal to Insulator Transition

   C.-M. Jian, Zhen Bi, and C. Xu

   Physical Review B, 2017

   DOI Bib

   @article{jian2017thermal,
     title = {A Model for Continuous Thermal Metal to Insulator Transition},
     author = {Jian, C.-M. and Bi, Zhen and Xu, C.},
     journal = {Physical Review B},
     volume = {96},
     pages = {115122},
     year = {2017},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.96.115122}
   }

2. Instability of the Non-Fermi Liquid State of the Sachdev-Ye-Kitaev Model

   Zhen Bi, C.-M. Jian, Y.-Z. You, K. Pawlak, and C. Xu

   Physical Review B, 2017

   DOI Bib

   @article{bi2017instability,
     title = {Instability of the Non-{F}ermi Liquid State of the {Sachdev-Ye-Kitaev} Model},
     author = {Bi, Zhen and Jian, C.-M. and You, Y.-Z. and Pawlak, K. and Xu, C.},
     journal = {Physical Review B},
     volume = {95},
     pages = {205105},
     year = {2017},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.95.205105}
   }

3. Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems

   K. Slagle, Zhen Bi, Y.-Z. You, and C. Xu

   Physical Review B, 2017

   DOI Bib

   @article{slagle2017otoc,
     title = {Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems},
     author = {Slagle, K. and Bi, Zhen and You, Y.-Z. and Xu, C.},
     journal = {Physical Review B},
     volume = {95},
     pages = {165136},
     year = {2017},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.95.165136}
   }

4. Bilayer Graphene as a Platform for Bosonic Symmetry Protected Topological States

   Zhen Bi, R.-X. Zhang, Y.-Z. You, A. Young, L. Balents, C.-X. Liu, and C. Xu

   Physical Review Letters, 2017

   DOI Bib

   @article{bi2017bilayer,
     title = {Bilayer Graphene as a Platform for Bosonic Symmetry Protected Topological States},
     author = {Bi, Zhen and Zhang, R.-X. and You, Y.-Z. and Young, A. and Balents, L. and Liu, C.-X. and Xu, C.},
     journal = {Physical Review Letters},
     volume = {118},
     pages = {126801},
     year = {2017},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevLett.118.126801}
   }

2016

1. Exotic Quantum Critical Point on the Surface of the Three-Dimensional Topological Insulator

   Zhen Bi, Y.-Z. You, and C. Xu

   Physical Review B, 2016

   DOI Bib

   @article{bi2016exotic,
     title = {Exotic Quantum Critical Point on the Surface of the Three-Dimensional Topological Insulator},
     author = {Bi, Zhen and You, Y.-Z. and Xu, C.},
     journal = {Physical Review B},
     volume = {94},
     pages = {024433},
     year = {2016},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.94.024433}
   }

2. Quantum Phase Transitions between Bosonic Symmetry-Protected Topological States without Sign Problem: Nonlinear Sigma Model with a Topological Term

   Y.-Z. You, Zhen Bi, D. Mao, and C. Xu

   Physical Review B, 2016

   DOI Bib

   @article{you2016quantum,
     title = {Quantum Phase Transitions between Bosonic Symmetry-Protected Topological States without Sign Problem: Nonlinear Sigma Model with a Topological Term},
     author = {You, Y.-Z. and Bi, Zhen and Mao, D. and Xu, C.},
     journal = {Physical Review B},
     volume = {93},
     pages = {125101},
     year = {2016},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.93.125101}
   }

3. Stable Interacting (2+1)-d Conformal Field Theories at the Boundary of a Class of (3+1)-d Symmetry Protected Topological Phases

   Zhen Bi, A. Rasmussen, Y. BenTov, and C. Xu

   2016

   arXiv Bib

   @misc{bi2016stable,
     title = {Stable Interacting (2+1)-d Conformal Field Theories at the Boundary of a Class of (3+1)-d Symmetry Protected Topological Phases},
     author = {Bi, Zhen and Rasmussen, A. and BenTov, Y. and Xu, C.},
     year = {2016},
   }

2015

1. Construction and Field Theory of Bosonic Symmetry Protected Topological States beyond Group Cohomology

   Zhen Bi and C. Xu

   Physical Review B, 2015

   DOI Bib

   @article{bi2015construction,
     title = {Construction and Field Theory of Bosonic Symmetry Protected Topological States beyond Group Cohomology},
     author = {Bi, Zhen and Xu, C.},
     journal = {Physical Review B},
     volume = {91},
     pages = {184404},
     year = {2015},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.91.184404}
   }

2. Classification and Description of Bosonic Symmetry Protected Topological Phases with Semiclassical Nonlinear Sigma Models

   Zhen Bi, A. Rasmussen, K. Slagle, and C. Xu

   Physical Review BEditors’ Suggestion , 2015

   DOI Bib

   @article{bi2015classification,
     title = {Classification and Description of Bosonic Symmetry Protected Topological Phases with Semiclassical Nonlinear Sigma Models},
     author = {Bi, Zhen and Rasmussen, A. and Slagle, K. and Xu, C.},
     journal = {Physical Review B},
     volume = {91},
     pages = {134404},
     year = {2015},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.91.134404},
   }

3. Bridging Fermionic and Bosonic Short-Range Entangled States

   Y.-Z. You, Zhen Bi, A. Rasmussen, M. Cheng, and C. Xu

   New Journal of Physics, 2015

   DOI Bib

   @article{you2015bridging,
     title = {Bridging Fermionic and Bosonic Short-Range Entangled States},
     author = {You, Y.-Z. and Bi, Zhen and Rasmussen, A. and Cheng, M. and Xu, C.},
     journal = {New Journal of Physics},
     volume = {17},
     pages = {075010},
     year = {2015},
     doi = {10.1088/1367-2630/17/7/075010}
   }

4. Many-Body Localization of Symmetry Protected Topological States

   K. Slagle, Zhen Bi, Y.-Z. You, and C. Xu

   2015

   arXiv Bib

   @misc{slagle2015mbl,
     title = {Many-Body Localization of Symmetry Protected Topological States},
     author = {Slagle, K. and Bi, Zhen and You, Y.-Z. and Xu, C.},
     year = {2015},
   }

5. Self-Dual Quantum Electrodynamics on the Boundary of 4d Bosonic Symmetry Protected Topological States

   Zhen Bi, K. Slagle, and C. Xu

   2015

   arXiv Bib

   @misc{bi2015selfdual,
     title = {Self-Dual Quantum Electrodynamics on the Boundary of 4d Bosonic Symmetry Protected Topological States},
     author = {Bi, Zhen and Slagle, K. and Xu, C.},
     year = {2015},
   }

2014

1. Anyon and Loop Braiding Statistics in Field Theories with a Topological Θ-Term

   Zhen Bi, Y.-Z. You, and C. Xu

   Physical Review BRapid Communication , 2014

   DOI Bib

   @article{bi2014anyon,
     title = {Anyon and Loop Braiding Statistics in Field Theories with a Topological $\Theta$-Term},
     author = {Bi, Zhen and You, Y.-Z. and Xu, C.},
     journal = {Physical Review B},
     volume = {90},
     pages = {081110},
     year = {2014},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.90.081110},
   }

2. Wavefunction and Strange Correlator of Short-Range Entangled States

   Y.-Z. You, Zhen Bi, A. Rasmussen, K. Slagle, and C. Xu

   Physical Review Letters, 2014

   DOI Bib

   @article{you2014wavefunction,
     title = {Wavefunction and Strange Correlator of Short-Range Entangled States},
     author = {You, Y.-Z. and Bi, Zhen and Rasmussen, A. and Slagle, K. and Xu, C.},
     journal = {Physical Review Letters},
     volume = {112},
     pages = {247202},
     year = {2014},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevLett.112.247202}
   }

3. Line Defects in Three-Dimensional Symmetry Protected Topological Phases

   Zhen Bi, A. Rasmussen, and C. Xu

   Physical Review B, 2014

   DOI Bib

   @article{bi2014line,
     title = {Line Defects in Three-Dimensional Symmetry Protected Topological Phases},
     author = {Bi, Zhen and Rasmussen, A. and Xu, C.},
     journal = {Physical Review B},
     volume = {89},
     pages = {184424},
     year = {2014},
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.89.184424}
   }