Exact Superconducting Instability in a Doped Mott Insulator

@article{Phillips2019ExactSI,
  title={Exact Superconducting Instability in a Doped Mott Insulator},
  author={Philip W. Phillips and Luke Yeo and Edwin W. Huang},
  journal={arXiv: Superconductivity},
  year={2019}
}
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 model, an exactly solvable system that is a prototypical Mott insulator above a critical interaction strength at half filling. Upon doping or reducing the interaction strength, our exact calculations show that the system becomes a non-Fermi liquid metal with a superconducting instability. In the… 

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References

SHOWING 1-10 OF 26 REFERENCES
Coherent Superconductivity with a Large Gap Ratio from Incoherent Metals.
A mysterious incoherent metallic (IM) normal state with T-linear resistivity is ubiquitous among strongly correlated superconductors. Recent progress with microscopic models exhibiting IM transport
Cooper pairing of incoherent electrons: An electron-phonon version of the Sachdev-Ye-Kitaev model
We introduce and solve a model of interacting electrons and phonons that is a natural generalization of the Sachdev-Ye-Kitaev-model and that becomes superconducting at low temperatures. In the normal
Colloquium: Identifying the propagating charge modes in doped Mott insulators
High-temperature superconductivity in the copper-oxide ceramics remains an unsolved problem because we do not know what the propagating degrees of freedom are in the normal state. As a result, we do
Cooper pairing in non-Fermi liquids
States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include (i) quantum critical points associated with the onset of
Exactly Solvable Model of Correlated Lattice Electrons in Any Dimensions
We present an exactly solvable Hamiltonian which consists of nearest neighbor hopping and long-range interaction. The ground state and the thermodynamic quantities are analytically obtained in any
Intrinsic superconducting instabilities of a solvable model for an incoherent metal
We construct a family of translationally invariant lattice models with a large number ($N$) of orbitals at every site coupled together via single electron tunneling. By tuning the relative strength
Special role of the first Matsubara frequency for superconductivity near a quantum critical point: Nonlinear gap equation below Tc and spectral properties in real frequencies
Near a quantum-critical point in a metal a strong fermion-fermion interaction, mediated by a soft boson, destroys fermionic coherence and also gives rise to superconductivity. In a class of large $N$
Pairing instability on a Luttinger surface: A non-Fermi liquid to superconductor transition and its Sachdev-Ye-Kitaev dual
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.
Solvable Strong-Coupling Quantum-Dot Model with a Non-Fermi-Liquid Pairing Transition.
  • Yuxuan Wang
  • Physics, Medicine
    Physical review letters
  • 2020
TLDR
It is shown that a random interacting model exhibits solvable non-Fermi-liquid behavior and exotic pairing behavior and the transition into the pairing phase exhibits Kosterlitz-Thouless quantum-critical behavior.
Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
Could it be that the matter formed from the electrons in high Tc superconductors is of a radically new kind that may be called "many body entangled compressible quantum matter"? Much of this text is
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3
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