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Quantum criticality of granular SYK matter

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arxiv 1903.09491 v2 pith:DDDL36FL submitted 2019-03-22 cond-mat.str-el cond-mat.mes-hallhep-th

Alexander Altland , Dmitry Bagrets , Alex Kamenev This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hallhep-th
keywords phasehoppingquantumdotsgranularmattermetallictemperature
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We consider granular quantum matter defined by Sachdev-Ye-Kitaev (SYK) 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.

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  1. Twisted times, the Schwarzian and its deformations in DSSYK

    hep-th 2024-12 conditional novelty 7.0 of 10

    The soft modes of double-scaled SYK are reparametrizations of twisted time coordinates; their effective action is the nonlinear Schwarzian, and deformations yield multi-field Liouville theories with computable low-ene...

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