Quantum criticality of granular Sachdev-Ye-Kitaev matter

Alexander Altland, Dmitry Bagrets, Alex Kamenev

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28 Scopus citations


We consider granular quantum matter defined by Sachdev-Ye-Kitaev dots coupled via random one-body hopping. Within the framework of Schwarzian field theory, we identify a zero-temperature quantum phase transition between an insulating phase at weak and a metallic phase at strong hopping. The critical hopping strength scales inversely with the number of degrees of freedom on the dots. The increase of temperature out of either phase induces a crossover into a regime of strange metallic behavior.

Original languageEnglish (US)
Article number106601
JournalPhysical review letters
Issue number10
StatePublished - Sep 4 2019

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© 2019 American Physical Society.


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