# 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

#### 15 Citations

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

- Physics, Medicine
- Physical 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. Expand

On the replica structure of Sachdev-Ye-Kitaev model

- Physics
- Journal of High Energy Physics
- 2019

Abstract
We investigate existence of replica off-diagonal solutions in the field-theoretical description of Sachdev-Ye-Kitaev model. To this end we evaluate a set of local and non-local dynamic… Expand

Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter.

- Physics, Medicine
- Physical review letters
- 2019

A zero-temperature quantum phase transition between an insulating phase at weak and a metallic phase at strong hopping is identified within the framework of Schwarzian field theory. Expand

Unveiling Operator Growth Using Spin Correlation Functions

- Medicine, Computer Science
- Entropy
- 2021

It is argued that it is possible to distinguish between operator-hopping and operator growth dynamics; the latter being a hallmark of quantum chaos in many-body quantum systems. Expand

Connecting the SYK Dots

- Physics
- Condensed 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.… Expand

Pedagogical introduction to SYK model and 2D Dilaton Gravity

- Physics
- 2020

SYK model and 2D dilaton gravity have recently attracted considerable attention from the high energy and condensed matter physics community. The success of these models is due to their remarkable… Expand

An SYK-inspired model with density–density interactions: Spectral & wave function statistics, Green’s function and phase diagram

- Physics
- 2021

The Sachdev-Ye-Kitaev (SYK) model is a rare example of a strongly-interacting system that is analytically tractable. Tractability arises because the model is largely structureless by design and… Expand

One SYK single electron transistor

- Materials Science
- 2020

We study the behaviour of a single electron transistor (SET) represented by a dissipative tunnel junction between a pair of quantum dots described by two (possibly, different) Sachdev–Ye–Kitaev (SYK)… Expand

Non-equilibrium Sachdev-Ye-Kitaev model with quadratic perturbation

- Physics
- 2021

We consider a non-equilibrium generalization of the mixed SYK4+SYK2 model and calculate the energy dissipation rate W (ω) that results due to periodic modulation of random quadratic matrix elements… Expand

Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model

- Physics
- 2021

We study the nonequilibrium quench dynamics of a mixed Sachdev-Ye-Kitaev model, with competing two bodies random interactions leading to maximally chaotic Non-Fermi Liquid dynamics and a single body… Expand

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

- Physics, Medicine
- Physical 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. Expand

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