Permutable SOS (Symmetry Operational Similarity)

TL;DR

This paper introduces the concept of Permutable Symmetry Operational Similarity (SOS) for classifying quasi-1D objects based on symmetry, discusses experimental phenomena explained by SOS, and predicts new effects in low-symmetry materials.

Contribution

It proposes the novel framework of permutable SOS for understanding symmetry-related phenomena in low-dimensional systems and predicts new observable effects.

Findings

Experimental phenomena like current-induced magnetization explained by SOS

Non-linear Hall effect in polar conductors analyzed through SOS

Prediction of new phenomena in low-symmetry materials

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.