# 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…
6 Citations

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## References

SHOWING 1-10 OF 57 REFERENCES
Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors
• Physics
• 2012
Based on the NMR measurements on Bi$_2$Sr$_{2-x}$La$_x$CuO$_{6+\delta}$ (La-Bi2201) in strong magnetic fields, we identify the non-superconducting pseudogap phase in the cuprates as a
Gapless spin-fluid ground state in a random quantum Heisenberg magnet.
• Physics
Physical review letters
• 1993
The spin-S quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions is examined with generalizing to SU(M) symmetry and studying the large M limit to find the spin-fluid phase to be generically gapless.
Topological order in the pseudogap metal
• Physics
Proceedings of the National Academy of Sciences
• 2018
It is shown that a theory of a metal with topological order and emergent gauge fields can model much of the numerical data and derive a modified, nonperturbative version of the Luttinger theorem that holds in the Higgs phase.
Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
• Physics
• 2017
We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number Q. We extend a previously proposed Schwarzian effective action to include a
Glass-induced enhancement of superconducting Tc : Pairing via dissipative mediators
With substantial evidence of glassy behavior in the phase diagram of high $T_c$ superconductors and its co-existence with superconductivity, we attempt to answer the question: what are the properties
Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order.
• Physics, Materials Science
• 2012
We calculate the Fermi surface of electrons in hole-doped, extended t-J models on a square lattice in a regime where no long-range antiferromagnetic order is present, and no symmetries are broken.
Towards the standard model for Fermi arcs from a Wilsonian reduction of the Hubbard model
• Physics
• 2012
Two remarkable features emerge from the exact Wilsonian procedure for integrating out the high-energy scale in the Hubbard model. At low energies, the number of excitations that couple minimally to
Spin glass versus superconductivity
• Physics
• 2002
A superconductor with interacting paramagnetic impurities is considered. The impurities are coupled via the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. At a temperature ${T}_{g},$ the system of
Theory of the Luttinger surface in doped Mott insulators
• Physics
• 2007
We prove that the Mott insulating state is characterized by a divergence of the electron self-energy at well-defined values of momenta in the first Brillouin zone. When particle-hole symmetry is
Dynamical gap and cupratelike physics from holography
• Physics
• 2011
We study the properties of fermion correlators in a boundary theory dual to the Reissner-Nordstrom AdS{sub d+1} background in the presence of a bulk dipole (Pauli) interaction term with strength p .