Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model

Abstract

We introduce a spinful variant of the Sachdev-Ye-Kitaev model with an effective time reversal symmetry, which can be solved exactly in the limit of a large number $N$ of degrees of freedom. At low temperature, its phase diagram includes a compressible non-Fermi liquid and a strongly-correlated spin singlet superconductor that shows a tunable enhancement of the gap ratio predicted by BCS theory. These two phases are separated by a first-order transition, in the vicinity of which a gapless superconducting phase, characterized by a non-zero magnetization, is stabilized upon applying a Zeeman field. We study equilibrium transport properties of such superconductors using a lattice construction, and propose a physical platform based on topological insulator flakes where they may arise from repulsive electronic interactions.

arXiv comment5 pages, 5 figures + Appendices. (v2:) Revised and extended version with an additional author. (v3:) Close to published version

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• Sign-Problem-Free Variant of Complex Sachdev-Ye-Kitaev Model
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• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
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