Quantum Geometry in Interacting Flat Bands

INVITED · MAR-A12 · ID: 2765631

Presentations

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

    ORAL · Invited

    –

    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

    View abstract →

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

    ORAL · Invited

    –

    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

    View abstract →

  • Topological Excitons and Their Superfluid Phase in Flat Chern Bands

    ORAL · Invited

    –

    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

    View abstract →

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

    ORAL · Invited

    –

    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

    View abstract →