# Connecting the SYK dots

@inproceedings{DVKhveshchenko2020ConnectingTS, title={Connecting the SYK dots}, author={D.V.Khveshchenko}, year={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 fermions. Extending the previous studies, we complement the SYK couplings by the physically relevant Coulomb interactions and focus on the effects of charge ﬂuctuations, evaluating the conductivity and density of states. The latter were found to demonstrate marked changes of behavior when the effective…

## 4 Citations

### 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.…

### The gloria mundi of SYK does not transit yet

- PhysicsLithuanian Journal of Physics
- 2022

This paper discusses the examples of 0 + 1-dimensional Liouvillean dynamics instigated by the various deformations of the Sachdev–Ye–Kitaev (SYK) model. In reference to such deformations the main…

### SYK does not Transit Gloria Mundi just yet

- Physics
- 2022

This note discusses examples of 0 + 1-dimensional Liouvillean dynamics by the various deformations of the Sachdev-Ye-Kitaev (SYK) model. In reference to such deformations the main focus is on the…

### Thermalization of randomly coupled SYK models

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

We investigate the thermalization of Sachdev–Ye–Kitaev (SYK) models coupled via random interactions following quenches from the perspective of entanglement. Previous studies have shown that when a…

## References

SHOWING 1-10 OF 57 REFERENCES

### 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.…

### One SYK SET

- Physics
- 2019

We study the behavior 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)…

### 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…

### 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…

### Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter.

- PhysicsPhysical 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.

### Metal-insulator transition in a random Hubbard model

- PhysicsPhysical Review B
- 2020

We examine the metal-insulator transition in a half-filled Hubbard model of electrons with random and all-to-all hopping and exchange, and an on-site non-random repulsion, the Hubbard $U$. We argue…

### Topological Sachdev-Ye-Kitaev model

- Physics
- 2018

In this Rapid Communication, we construct a large-$N$ exactly solvable model to study the interplay between interaction and topology, by connecting the Sachdev-Ye-Kitaev (SYK) model with constant…

### 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.

### 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.

### Notes on the complex Sachdev-Ye-Kitaev model

- PhysicsJournal of High Energy Physics
- 2020

We describe numerous properties of the Sachdev-Ye-Kitaev model for complex fermions with N ≫ 1 flavors and a global U(1) charge. We provide a general definition of the charge in the ( G, Σ)…