Quantum geometry: bound electrons, hierarchy of scales and entanglement

ORAL  · Invited

Abstract

I will discuss how the quantum geometry of Bloch wavefunctions naturally imprints a separation of scales in electronic systems, which is reflected in their response coefficients and favored correlated states. I will also introduce the concept of cell natural orbitals as a convenient basis to study complex multiband systems while properly accounting for their wavefunction geometry and local entranglement. Examples include moiré continuum models.

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Publication: [1] Quantum Geometry: Revisiting electronic scales in quantum matter, Verma, Holder, Moll, Queiroz arXiv 2504.07173
[2] Quantum geometry in quantum materials, Yu, Bernevig, Queiroz, Rossi, Torma, Yang, npj Quantum Materials 10, 101 (2025)
[3] Local basis for interacting topological bands, Verma, Queiroz, arXiv 2503.24344
[4] Instantaneous Response and Quantum Geometry of Insulators, Verma, Queiroz arXiv 2403.07052

Presenters

  • Raquel Queiroz

    • Department of Physics, Columbia University, New York, NY, USA
    • Columbia University

Authors

  • Raquel Queiroz

    • Department of Physics, Columbia University, New York, NY, USA
    • Columbia University