Sachdev-Ye-Kitaev Model with Quadratic Perturbations: The Route to a Non-Fermi Liquid.

@article{Lunkin2018SachdevYeKitaevMW,
  title={Sachdev-Ye-Kitaev Model with Quadratic Perturbations: The Route to a Non-Fermi Liquid.},
  author={A. V. Lunkin and K. S. Tikhonov and Mikhail V. Feigel’man},
  journal={Physical review letters},
  year={2018},
  volume={121 23},
  pages={
          236601
        }
}
We study stability of the Sachdev-Ye-Kitaev (SYK_{4}) model with a large but finite number of fermions N with respect to a perturbation, quadratic in fermionic operators. We develop analytic perturbation theory in the amplitude of the SYK_{2} perturbation and demonstrate stability of the SYK_{4} infrared asymptotic behavior characterized by a Green function G(τ)∝1/τ^{3/2}, with respect to weak perturbation. This result is supported by exact numerical diagonalization. Our results open the way to… Expand

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References

SHOWING 1-10 OF 32 REFERENCES
Sachdev–Ye–Kitaev model as Liouville quantum mechanics
Abstract We show that the proper inclusion of soft reparameterization modes in the Sachdev–Ye–Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that ofExpand
Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model.
TLDR
Analytically and numerically it is shown that a generalized SYK model with an additional one-body infinite-range random interaction is still quantum chaotic and retains most of its holographic features for a fixed value of the perturbation and sufficiently high temperature. Expand
Approximating the Sachdev-Ye-Kitaev model with Majorana wires
The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-stateExpand
Remarks on the Sachdev-Ye-Kitaev model
The authors study in detail the quantum mechanical model of $N$ Majorana fermions with random interactions of a few fermions at a time (Sachdev-Ye-Kitaev model) in the large $N$ limit. At lowExpand
Higher-dimensional Sachdev-Ye-Kitaev non-Fermi liquids at Lifshitz transitions
We address the key open problem of a higher dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model. We construct a model on a lattice of SYK dots with non-random intersite hopping. TheExpand
The spectrum in the Sachdev-Ye-Kitaev model
A bstractThe SYK model consists of N ≫ 1 fermions in 0 + 1 dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and hasExpand
Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models.
TLDR
This work exemplifies an analytically controlled study of a strongly correlated metal crossover in full detail, including thermodynamics, low temperature Landau quasiparticle interactions, and both electrical and thermal conductivity at all scales. Expand
Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos
The Sachdev-Ye-Kitaev (SYK) model is a concrete model for non-Fermi Liquid with maximally chaotic behavior in $0+1$-$d$. In order to gain some insights into real materials in higher dimensions whereExpand
Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model.
TLDR
A generalization of the Sachdev-Ye-Kitaev model that contains two SYK models with a different number of Majorana modes coupled by quadratic terms is considered, and the solution shows a zero-temperature quantum phase transition between two non-Fermi liquid chaotic phases. Expand
Recent Developments in Non-Fermi Liquid Theory
Non-Fermi liquids are unconventional metals whose physical properties deviate qualitatively from those of noninteracting fermions due to strong quantum fluctuations near Fermi surfaces. They ariseExpand
...
1
2
3
4
...