Permutable SOS (Symmetry Operational Similarity)

Abstract

Based on symmetry consideration, quasi-one-dimensional (1D) objects, relevant to numerous observables or phenomena, can be classified into eight different types. We provide various examples of each 1D type, and discuss their Symmetry Operational Similarity (SOS) relationships, which are often permutable. A number of recent experimental observations, including current-induced magnetization in polar or chiral conductors, non-linear Hall effect in polar conductors, spin-polarization of tunneling current to chiral conductors, and ferro-rotational domain imaging with linear gyration are discussed in terms of (permutable) SOS. In addition, based on (permutable) SOS, we predict a large number of new phenomena in low symmetry materials that can be experimentally verified in the future.

28 pages, 6 figures

References in corpus (2)

• Observation of a ferro-rotational order coupled with second-order nonlinear optical fields
• Chirality induced Giant Unidirectional Magnetoresistance in Twisted Bilayer Graphene

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