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Flat band excitons and quantum metric

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arxiv 2407.00325 v1 pith:XQGPIWQA submitted 2024-06-29 cond-mat.mes-hall

Xuzhe Ying , K. T. Law This is my paper · ORCID
classification cond-mat.mes-hall
keywords excitonmetricquantumcondensateexcitonsflatbandtensor
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We discuss the excitons in flat band systems. Quantum metric plays a central role in determining the properties of single exciton excitation as well as the exciton condensate. While the electrons and holes are extremely heavy in flat bands, the excitons (boundstate of an electron-hole pair) could be light and mobile. In particular, we show that the inverse of exciton's effective mass tensor is proportional to the quantum metric tensor. Meanwhile, the flat band excitons have a finite size, lower bounded by the trace of the quantum metric tensor. Given the properties of single exciton excitation, one can argue for the formation of exciton condensate. Because of the quantum metric, the exciton condensate can support dissipationless counterflow supercurrent, implying the stability of exciton condensate.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hidden Quantum Geometry in Bilayer Exciton Condensates

    cond-mat.mes-hall 2026-08 conditional novelty 7.0 of 10

    In a bilayer exciton condensate, the mean-field order parameter generates a hidden interlayer Berry curvature that produces a second-order out-of-plane polarization response to an in-plane AC field, scaling as the inv...

  2. Direct probing the quantum geometric tensor for bosonic collective excitations

    cond-mat.mtrl-sci 2026-01 conditional novelty 6.0 of 10

    The dynamical structure factor from inelastic scattering directly encodes the full quantum geometric tensor of bosonic excitations, enabling extraction of Berry curvature and quantum metric from experiment.

  3. Defect-Bound Excitons in Topological Materials

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    In a Chern insulator model, excitons bound to topologically protected ring-shaped defect states have lower binding energies and parameter-sensitive wave function ordering compared to trivial defect states.

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