Model for Metal-Insulator Transition in Graphene Superlattices and Beyond

TL;DR

This paper introduces a two-orbital Hubbard model on a honeycomb lattice to explain the low-energy phenomena in twisted bilayer graphene, including metal-insulator transitions and superconductivity.

Contribution

It provides a novel theoretical framework specifically tailored for twisted bilayer graphene's complex electronic behaviors.

Findings

Model captures metal-insulator transition phenomena

Explains Landau level degeneracy lifting

Supports unconventional superconductivity mechanisms

Abstract

We propose a two-orbital Hubbard model on an emergent honeycomb lattice to describe the low-energy physics of twisted bilayer graphene. Our model provides a theoretical basis for studying metal-insulator transition, Landau level degeneracy lifting and unconventional superconductivity that are recently observed.