Regular phases of quasi-one-dimensional spin systems: Classification and imprints on diffraction

Abstract

Referring to the propulsive field of low-dimensional magnetism, the paper discusses the foundation and principles of exploitation of the spin line groups, thus establishing a base for full implementation of the symmetry in further studies of frustrated quasi-one-dimensional magnetics. The classification of the symmetry-allowed magnetic phases reveals full diversity of the complex helimagnets, tilted along a singled-out direction, as well as within the cross sections perpendicular to it. The neutron diffraction amplitudes are exhaustively calculated for all the possible spin arrangements, providing experimentally verifiable fingerprints of the particular order of the spin structures. A recent prediction of the gate-voltage-dependent phases of $^{13}\text{C}$ carbon nanotubes serves as an illustration of the introduced concepts and their applications in the ground state determination.