Glass Patterns in Twisted Disordered Crystals

TL;DR

This paper investigates Glass patterns formed in twisted disordered crystals, revealing their potential to measure microscopic parameters, influence material properties, and enable domain formation, thus establishing them as a universal feature in such systems.

Contribution

It introduces the concept of Glass patterns in twisted disordered systems and explores their implications across various models, providing a new framework for understanding these phenomena.

Findings

Glass patterns allow measurement of microscopic parameters from resistivity.

They generate impurities that modify moiré lattice properties.

They enable domain formation in amorphous magnets.

Abstract

Twisting and stacking two copies of a 2D crystal can produce a long-wavelength periodic interference pattern known as a moir\'e pattern. Performing the same procedure with an aperiodic structure instead generates a single moir\'e spot at the rotation center, known as a Glass pattern. We explore the implications of these patterns across a variety of models: they allow measurement of microscopic parameters from mesoscopic resistivity measurements; they generate an impurity that modifies the properties of a moir\'e lattice at the rotation center; and they allow for domain formation in amorphous magnets. These results establish Glass patterns as a generic feature of twisted disordered systems and provide a framework for future theoretical and experimental exploration.