Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments

One of the remarkable properties of the Sachdev-Ye-Kitaev model of randomly interacting electrons is that it has a nonvanishing extensive entropy in the limit of zero temperature. In its dual representation as the low energy theory of a charged black hole, this entropy is the Bekenstein-Hawking black hole entropy. This work shows how the entropy can be measured by thermoelectric probes of mesoscopic electronic realizations of Sachdev-Ye-Kitaev models.