# A model for continuous thermal Metal to Insulator Transition

## TL;DR

This paper introduces a $d$-dimensional interacting Majorana fermion model with quenched disorder, demonstrating a continuous quantum phase transition from a diffusive thermal metal to an insulator with zero entropy, involving spontaneous time-reversal symmetry breaking.

## Contribution

It presents a novel coupled Sachdev-Ye-Kitaev based model exhibiting a controlled large-$N$ limit and a continuous metal-insulator transition with specific symmetry-breaking characteristics.

## Key findings

- Diffusion constant drops to zero at transition
- Time-reversal symmetry breaking order parameter increases continuously
- Model provides controlled insights into quantum phase transitions

## Abstract

We propose a $d-$dimensional interacting Majorana fermion model with quenched disorder, which gives us a continuous quantum phase transition between a diffusive thermal metal phase with a finite entropy density to an insulator phase with zero entropy density. This model is based on coupled Sachdev-Ye-Kitaev model clusters, and hence has a controlled large-$N$ limit. The metal-insulator transition is accompanied by a spontaneous time-reversal symmetry breaking. We perform controlled calculations to show that the diffusion constant jumps to zero discontinuously at the metal-insulator transition, while the time-reversal symmetry breaking order parameter increases continuously.