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}
}
  • C. Setty
  • Published 26 August 2019
  • Physics
  • Physical Review B
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… 

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