Moir\'e-Driven Equilibrium

TL;DR

This paper investigates how perturbations in moiré materials like twisted bilayer graphene influence electronic properties, revealing a robust equilibrium behavior near the magic angle that extends the concept of the magic angle to a broader regime.

Contribution

It demonstrates that perturbations transfer between Dirac cones and reach a stable equilibrium, broadening the understanding of moiré physics beyond ideal conditions.

Findings

Perturbations transfer between Dirac cones and reach equilibrium.

Equilibrium behavior persists despite perturbations in the moiré potential.

Extends the concept of the magic angle to a more general regime.

Abstract

Perturbations in moir\'e materials, such as due to substrates or strain, are common in many experiments and can significantly modify the electronic properties of the system. Here, we show that perturbations in twisted bilayer graphene tend to be transferred between the coupled Dirac cones, eventually reaching an equilibrium near the magic angle. We connect our results to experiments and show that this equilibrium behavior remains robust even when the moir\'e potential itself is perturbed. Our findings extend the notion of the magic angle to a more general regime governed by moir\'e-driven equilibrium.