# Pairing instability on a Luttinger surface: A non-Fermi liquid to superconductor transition and its Sachdev-Ye-Kitaev dual

@article{Setty2020PairingIO, title={Pairing instability on a Luttinger surface: A non-Fermi liquid to superconductor transition and its Sachdev-Ye-Kitaev dual}, author={C.S.G.K. Setty}, journal={Physical Review B}, year={2020} }

We show that fluctuation thermodynamics on a model Luttinger surface -- a contour of \textit{zeros} of the many-body Green function -- mimics black hole thermodynamics in the strong coupling limit. At zero temperature ($\beta \rightarrow \infty$) and a critical interaction strength ($u_{c\infty}$) characterized by the self-energy pole, we find that the pair susceptibility diverges leading to a superconducting instability. We evaluate the pair fluctuation partition function and find that the…

## 6 Citations

Superconductivity from Luttinger surfaces: Emergent $\infty$-body SYK physics

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The pairing of two electrons on a Fermi surface due to an infinitesimal attraction between them always results in a superconducting instability at zero temperature (T = 0). The equivalent question of…

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Because the cuprate superconductors are doped Mott insulators, it would be advantageous to solve even a toy model that exhibits both Mottness and superconductivity. We consider the Hatsugai-Kohmoto…

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We introduce a very simple and exactly solvable model that supports Fermi arcs in its ground state and excitation spectrum. These arcs come in pairs, and merge into what we call a pseudo-Fermi…

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Yukawa–Sachdev-Ye-Kitaev model: Non-Fermi liquid, insulator, and superconductor

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We analyze the phase diagram of the spin-1/2 Yukawa-Sachdev-Ye-Kitaev model, which describes complex spin-1/2 fermions randomly interacting with real bosons via a Yukawa coupling, at ﬁnite…

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