Glass Patterns in Twisted Disordered Crystals

Fuente: arXiv
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Main Author: Dunbrack, Aaron
Format: Preprint
Published: 2025
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author Dunbrack, Aaron
author_facet Dunbrack, Aaron
contents Twisting and stacking two copies of a 2D crystal can produce a long-wavelength periodic interference pattern known as a moiré pattern. Performing the same procedure with an aperiodic structure instead generates a single moiré 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 moiré 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_01105
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Glass Patterns in Twisted Disordered Crystals
Dunbrack, Aaron
Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Statistical Mechanics
Twisting and stacking two copies of a 2D crystal can produce a long-wavelength periodic interference pattern known as a moiré pattern. Performing the same procedure with an aperiodic structure instead generates a single moiré 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 moiré 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.
title Glass Patterns in Twisted Disordered Crystals
topic Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Statistical Mechanics
url https://arxiv.org/abs/2511.01105