Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model

@article{Gnezdilov2018LowhighVD,
  title={Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model},
  author={Nikolay V. Gnezdilov and Jimmy A. Hutasoit and C. W. J. Beenakker},
  journal={Physical Review B},
  year={2018}
}
The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated metal with all-to-all random interactions (average strength $J$) between $N$ fermions (complex Dirac fermions or real Majorana fermions). In the large-$N$ limit a conformal symmetry emerges that renders the model exactly soluble. Here we study how the non-Fermi liquid behavior of the closed system in equilibrium manifests itself in an open system out of equilibrium. We calculate the current-voltage characteristic of a quantum dot… 

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References

SHOWING 1-10 OF 32 REFERENCES

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 where

Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models.

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.

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. The

Periodic Anderson model meets Sachdev-Ye-Kitaev interaction: a solvable playground for heavy fermion physics

  • Y. Zhong
  • Physics
    Journal of Physics Communications
  • 2018
The periodic Anderson model is a classic theoretical model for understanding novel physics in heavy fermion systems. Here, we modify it with the Sachdev-Ye-Kitaev interaction, (random all-to-all

Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography

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

Solvable model for a dynamical quantum phase transition from fast to slow scrambling

We propose an extension of the Sachdev-Ye-Kitaev (SYK) model that exhibits a quantum phase transition from the previously identified non-Fermi-liquid fixed point to a Fermi-liquid-like state, while

Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model.

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.

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-state

Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models

A bstractThe Sachdev-Ye-Kitaev model is a (0 + 1)-dimensional model describing Majorana fermions or complex fermions with random interactions. This model has various interesting properties such as

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 low