# Quantum criticality of granular SYK matter

## TL;DR

This paper investigates a quantum phase transition in granular SYK matter, revealing a transition from insulator to metal driven by hopping strength, with temperature inducing strange metallic behavior, using Schwarzian field theory.

## Contribution

It identifies a zero-temperature quantum phase transition in granular SYK matter and characterizes the critical hopping scaling and temperature-induced crossovers.

## Key findings

- Quantum phase transition between insulator and metal at zero temperature.
- Critical hopping strength scales inversely with degrees of freedom.
- Temperature induces crossover to strange metallic regime.

## Abstract

We consider granular quantum matter defined by Sachdev-Ye-Kitaev (SYK) dots coupled via random one-body hopping. Within the framework of Schwarzian field theory, we identify a zero temperature quantum phase transition between an insulating phase at weak and a metallic phase at strong hopping. The critical hopping strength scales inversely with the number of degrees of freedom on the dots. The increase of temperature out of either phase induces a crossover into a regime of strange metallic behavior.