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arXiv · 2012.12491

Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model

Étienne Lantagne-Hurtubise·Vedangi Pathak·Sharmistha Sahoo·Marcel Franz
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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.

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Étienne Lantagne-Hurtubise, Vedangi Pathak, Sharmistha Sahoo, Marcel Franz. 2020-12-23. Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model. https://doi.org/10.1103/physrevb.104.l020509

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