The Planckian relaxation rate $hbar/t_mathrm{P} = 2pi k_mathrm{B} T$ sets a characteristic time scale for both equilibration of quantum critical systems and maximal quantum chaos. In this note, 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 $Delta$ behaves as $eta ,, hbar/t_mathrm{P}$ at low temperatures, where $eta$ is an order one constant. The lower critical temperature emerges with a further increase of the coupling strength so that the finite $Delta$ domain is settled between the two critical temperatures.
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