# 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…

## 16 Citations

### Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models

- PhysicsPhysical Review B
- 2019

We consider a recent proposal for a physical realization of the Sachdev-Ye-Kitaev (SYK) model in the zeroth-Landau-level sector of an irregularly-shaped graphene flake. We study in detail charge…

### Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments

- PhysicsPhysical Review B
- 2020

The Sachdev-Ye-Kitaev (SYK) model describes electrons with random and all-to-all interactions, and realizes a many-body state without quasiparticle excitations, and a non-vanishing extensive entropy…

### Sachdev-Ye-Kitaev Non-Fermi-Liquid Correlations in Nanoscopic Quantum Transport.

- PhysicsPhysical review letters
- 2019

Focusing on signatures in quantum transport, it is demonstrated the existence of anomalous power laws in the temperature dependent conductance, including algebraic scaling T3/2 in the inelastic cotunneling channel, separated from the conventional Fermi liquid T^{2} scaling via a quantum phase transition.

### Lindbladian dissipation of strongly-correlated quantum matter

- PhysicsPhysical Review Research
- 2022

We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of dissipative many-body quantum chaos. It describes N strongly coupled Majorana fermions with random all-to-all…

### Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model

- PhysicsPhysical Review B
- 2019

We show that a single-fermion quantum dot acquires odd-frequency Gor'kov anomalous averages in proximity to strongly correlated Majorana zero modes, described by the Sachdev-Ye-Kitaev (SYK) model.…

### Traversable wormhole and Hawking-Page transition in coupled complex SYK models

- Physics
- 2020

Recent work has shown that coupling two identical Sachdev-Ye-Kitaev (SYK) models can realize a phase of matter that is holographically dual to an \emph{eternal traversable wormhole}. This phase…

### More on complex Sachdev-Ye-Kitaev eternal wormholes

- PhysicsJournal of High Energy Physics
- 2020

Abstract
In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different…

### Tunneling through an eternal traversable wormhole

- PhysicsPhysical Review B
- 2020

The Maldancena-Qi model describes two copies of the Sachdev-Ye-Kitaev model coupled with an additional coupling, and is dual to the Jackiw-Teitelboim gravity which exhibits eternal traversable…

### Connecting the SYK Dots

- PhysicsCondensed Matter
- 2020

We study a putative (strange) metal-to-insulator transition in a granular array of the Sachdev–Ye–Kitaev (SYK) quantum dots, each occupied by a large number N ≫ 1 of charge-carrying fermions.…

### Connecting the SYK dots

- Physics
- 2020

: We study a putative (strange) metal-to-insulator transition in a granular array of the Sachdev–Ye–Kitaev (SYK) quantum dots, each occupied by a large number N (cid:29) 1 of charge-carrying…

## References

SHOWING 1-10 OF 32 REFERENCES

### Dispersive Sachdev-Ye-Kitaev model: Band structure and quantum chaos

- Physics
- 2017

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.

- PhysicsPhysical review letters
- 2017

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

- PhysicsPhysical Review B
- 2018

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

- PhysicsJournal 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

- 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…

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

- Physics
- 2017

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.

- PhysicsPhysical review letters
- 2017

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

- Physics
- 2017

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

- Physics
- 2016

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

- Physics
- 2016

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…