Quantum criticality of granular Sachdev-Ye-Kitaev matter

Alexander Altland, Dmitry Bagrets, Alex Kamenev

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12 Scopus citations

Abstract

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
Volume123
Issue number10
DOIs
StatePublished - Sep 4 2019

Bibliographical note

Funding Information:
We are grateful to M. Feigelman and K. Tikhonov for useful discussions. Work of A. A. and D. B. was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) Project No. 277101999 TRR 183 (project A03). A. K. was supported by the DOE Grant No. DEFG02-08ER46482.

Funding Information:
We are grateful to M. Feigelman and K. Tikhonov for useful discussions. Work of A.A. and D.B. was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) Project No. 277101999 TRR 183 (project A03). A.K. was supported by the DOE Grant No. DEFG02-08ER46482.

Publisher Copyright:
© 2019 American Physical Society.

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