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Accepted · first revision · record

Title: Direct measurement of the quantum metric of moire flat bands
Plain: The quantum metric measures how fast electron wavefunctions change across momentum space and is central to flat-band theories, but it has not been measured for the flat bands of moire graphene.
Precise: Measure the Brillouin-zone-integrated quantum metric of the magic-angle graphene flat bands, for example through the optical sum rule that relates the frequency integral of $\operatorname{Re}\sigma_{xx}(\omega)/\omega$ for transitions out of a filled band to the integral of its quantum metric, or through polarization-resolved photoemission. An answer is the integrated tr g with uncertainty, compared with continuum-model predictions.
Settled by: Broadband infrared absorption sum-rule or polarization-resolved photoemission measurements on gated devices compared with continuum-model quantum metric.
Kind: well-posed
Answer type: value
References: (empty)
Literature status: open
Status note: (empty)
Posed since: (empty)