有效双轴对称手性向列系统的拓扑刚性和非阿贝尔缺陷结

IF 11.6 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Physical Review X Pub Date : 2025-05-01 DOI:10.1103/physrevx.15.021036

Jin-Sheng Wu, Roberto Abril Valenzuela, Mark J. Bowick, Ivan I. Smalyukh

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引用次数: 0

摘要

本文研究了三维缺陷线分类和相关的相互作用代数（基本群）由非阿贝尔八元群四元数Q8控制的系统拓扑稳定缺陷结构。缺陷代数的非阿贝尔特性导致束缚缺陷对具有拓扑刚性，三价结是多结三价网络的基本组成部分。我们在实验室的手性向列中实现了这种结构，并分析了它们的行为，同时进行了数值模拟。2025年由美国物理学会出版

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Topological Rigidity and Non-Abelian Defect Junctions in Chiral Nematic Systems with Effective Biaxial Symmetry

We study topologically stable defect structures in systems where the defect line classification in three dimensions and associated algebra of interactions (the fundamental group) are governed by the non-Abelian eight-element group, the quaternions Q8. The non-Abelian character of the defect algebra leads to a topological rigidity of bound defect pairs, and trivalent junctions which are the building blocks of multijunction trivalent networks. We realize such structures in laboratory chiral nematics and analyze their behavior analytically, along with numerical modeling.

Published by the American Physical Society

2025

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来源期刊

Physical Review X PHYSICS, MULTIDISCIPLINARY-

CiteScore

24.60

自引率

1.60%

发文量

197

审稿时长

3 months

期刊介绍： Physical Review X (PRX) stands as an exclusively online, fully open-access journal, emphasizing innovation, quality, and enduring impact in the scientific content it disseminates. Devoted to showcasing a curated selection of papers from pure, applied, and interdisciplinary physics, PRX aims to feature work with the potential to shape current and future research while leaving a lasting and profound impact in their respective fields. Encompassing the entire spectrum of physics subject areas, PRX places a special focus on groundbreaking interdisciplinary research with broad-reaching influence.