Quantum Geometry in Interacting Flat Bands

Presentations

• Flatband and Kähler Geometry: Moiré Fractionalization, Geometric Response and Lattice Realizations

  ORAL · Invited

  March 17, 2025, 8:00 AM – March 17, 2025, 8:36 AM

  Publication: Submitted:
  Theory of Generalized Landau Levels and Implication for non-Abelian States
  arXiv:2405.14479
  
  Published:
  Exact Landau Level Description of Geometry and Interaction in a Flatband
  Phys. Rev. Lett. 127, 246403
  
  Planned:
  Hall Viscosity of Generalized Landau Levels
  Exact Lattice Models for All Landau Levels

  Presenters

  • Jie Wang

    • Temple University

  Authors

  • Jie Wang

    • Temple University

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• Phase stiffness and projected optical sum rule in quantum many-body systems

  ORAL · Invited

  March 17, 2025, 8:36 AM – March 17, 2025, 9:12 AM

  Publication: J. F. Mendez-Valderrama, Dan Mao, and Debanjan Chowdhury, Low-Energy Optical Sum Rule in Moiré Graphene,
  Phys. Rev. Lett. 133, 196501 – Published 4 November 2024
  
  Dan Mao, Juan Felipe Mendez-Valderrama, Debanjan Chowdhury, Is the low-energy optical absorption in correlated insulators controlled by quantum geometry? arXiv preprint arXiv:2410.16352
  
  Dan Mao and Debanjan Chowdhury, Upper bounds on superconducting and excitonic phase stiffness for interacting isolated narrow bands, Phys. Rev. B 109, 024507 – Published 10 January 2024
  
  Dan Mao and Debanjan Chowdhury, Diamagnetic response and phase stiffness for interacting isolated narrow bands, Proc. Natl. Acad. Sci. U.S.A., 120 (11) e2217816120,https://doi.org/10.1073/pnas.2217816120 (2023).

  Presenters

  • Dan Mao

    • Cornell University
    • University of Zurich

  Authors

  • Dan Mao

    • Cornell University
    • University of Zurich

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• Instantaneous response and quantum geometry of insulators

  ORAL · Invited

  March 17, 2025, 9:12 AM – March 17, 2025, 9:48 AM

  Publication: https://arxiv.org/abs/2403.07052

  Presenters

  • Nishchhal Verma

    • Columbia University

  Authors

  • Nishchhal Verma

    • Columbia University

  • Raquel Queiroz

    • Columbia University

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• Topological Excitons and Their Superfluid Phase in Flat Chern Bands

  ORAL · Invited

  March 17, 2025, 9:48 AM – March 17, 2025, 10:24 AM

  Publication: H.-Y. Xie, P. Ghaemi, M. Mitrano, and B. Uchoa, Theory of topological exciton insulators and condensates in flat Chern bands, Proc. Natl. Acad. Sci. U.S.A. 121 (35) e2401644121, https://doi.org/10.1073/pnas.2401644121 (2024).

  Presenters

  • Hong-Yi Xie

    • University of Oklahoma

  Authors

  • Hong-Yi Xie

    • University of Oklahoma

  • Bruno Uchoa

    • University of Oklahoma

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• The role of band geometry in fractional quantum Hall states in flat Chern bands

  ORAL · Invited

  March 17, 2025, 10:24 AM – March 17, 2025, 11:00 AM

  Publication: Stability of fractional Chern insulators with a non-Landau level continuum limit, B. Andrews, M. Raja, N. Mishra, M. P. Zaletel, R. Roy, Phys. Rev. B 109, 245111 (2023)
  Fractional Chern insulators with a non-Landau level continuum limit, D. Bauer, S. Talkington, F. Harper, B. Andrews, and R. Roy, Phys. Rev. B 105, 045144 (2022).
  Quantum geometry and stability of the fractional quantum Hall effect in the Hofstadter model, D. Bauer, T. S. Jackson and R. Roy, Phys. Rev. B 93, 235133 (2016).
  Geometric stability of topological lattice phases, T. S. Jackson, G. Mo ̈ller and R. Roy, Nat. Commun. 6, 8629 (2015).
  Band geometry of fractional topological insulators, R. Roy, Phys. Rev. B 90, 075104 (2014).
  Fractional quantum Hall physics in topological flat bands, S. A. Parameswaran, R. Roy and S. L. Sondhi, C. R. Physique 14, 816 (2013).

  Presenters

  • Rahul Roy

    • University of California, Los Angeles

  Authors

  • Rahul Roy

    • University of California, Los Angeles

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