Reentrant superconductivity in a quantum dot coupled to a Sachdev-Ye-Kitaev metal

Y. Cheipesh; A. I. Pavlov; V. Scopelliti; J. Tworzydło; N. V. Gnezdilov

doi:10.1103/PhysRevB.100.220506

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Reentrant superconductivity in a quantum dot coupled to a Sachdev-Ye-Kitaev metal

Y. Cheipesh, A. I. Pavlov, V. Scopelliti, J. Tworzydło, N. V. Gnezdilov

DOI 10.1103/PhysRevB.100.220506 · Physical Review B

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Abstract

The Planckian relaxation rate ℏ/tP=2πkBT sets a characteristic timescale for both the equilibration of quantum critical systems and maximal quantum chaos. In this Rapid Communication, we show that at the critical coupling between a superconducting dot and the complex Sachdev-Ye-Kitaev model, known to be maximally chaotic, the pairing gap Δ behaves as ηℏ/tP at low temperatures, where η is an order one constant. The lower critical temperature emerges with a further increase of the coupling strength so that the finite Δ domain is settled between the two critical temperatures.