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Based on symmetry consideration, quasi-one-dimensional (1D) objects, relevantto numerous observables or phenomena, can be classified into eight differenttypes. We provide various examples of each 1D type, and discuss their SymmetryOperational Similarity (SOS) relationships, which are often permutable. Anumber of recent experimental observations, including current-inducedmagnetization in polar or chiral conductors, non-linear Hall effect in polarconductors, spin-polarization of tunneling current to chiral conductors, andferro-rotational domain imaging with linear gyration are discussed in terms of(permutable) SOS. In addition, based on (permutable) SOS, we predict a largenumber of new phenomena in low symmetry materials that can be experimentallyverified in the future.

Permutable SOS (Symmetry Operational Similarity)