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.

基于对称性考虑，与众多可观察对象或现象相关的准一维 (1D) 物体可以分为八种不同类型。我们提供了每种 1D 类型的各种示例，并讨论了它们的对称操作相似性 (SOS) 关系，这些关系通常是可置换的。许多最近的实验观察，包括极性或手性导体中的电流感应磁化，极性导体中的非线性霍尔效应，隧道电流到手性导体的自旋极化，以及线性回转的铁旋转域成像（可变的）SOS。此外，基于（可置换的）SOS，我们预测了未来可以通过实验验证的低对称材料中的大量新现象。