Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model

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 si...

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Bibliographic Details
Published in:Physical review. B 2021-07, Vol.104 (2), p.1, Article L020509
Main Authors: Lantagne-Hurtubise, Étienne, Pathak, Vedangi, Sahoo, Sharmistha, Franz, Marcel
Format: Article
Language:English
Subjects:
BCS theory
Compressibility
Fermi liquids
Low temperature
Phase diagrams
Superconductivity
Superconductors
Topological insulators
Transport properties
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Summary: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 nonzero 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.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.104.L020509