Spin splitting in monoperiodic systems described by magnetic line groups

Abstract

In this paper we report the classification of all the 81 magnetic line group families into seven spin splitting prototypes, in analogy to the similar classification previously reported for the 1651 magnetic space groups, 528 magnetic layer groups, and 394 magnetic rod groups. According to this classification, electrically induced (Pekar-Rashba) spin splitting is possible in the antiferromagnetic (AFM) structures described by magnetic line groups of type I (no anti-unitary operations) and III, both in the presence and in the absence of the space inversion operation. As a specific example, a group theoretical analysis of spin splitting in CoO (8,8) nanotube is carried out and its predictions are confirmed by ab initio Density Functional Theory calculations.

Current State of Computational Modeling of Nanohelicenes

“…The study of the magnetic properties of nanohelicenes requires the consideration of spin effects in terms of magnetic line symmetry groups [ 102 ]. It is necessary to determine the partition of 81 families of magnetic line groups according to SST prototypes; this was carried out in [ 114 ]. We note that, according to the results of this work, the possibility of spin-splitting in the absence of spin-orbit interactions for nanohelicenes is also preserved when their symmetry is considered with the line groups.…”