Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
Abstract
We propose a general mechanism of multiple-Q ordering with noncollinear and noncoplanar spin textures in itinerant magnets. By analyzing the fourth-order perturbation with respect to the spin-charge coupling, we find that the instability toward multiple-Q ordering is caused by (d-2)-dimensional connections of the Fermi surfaces in the extended Brillouin zone by the multiple-Q wave vectors: zero(one)-dimensional point (line) connections in the two(three)-dimensional systems. The instabilities are obtained as the "fixed points" in the two-parameter flow diagram, irrespective of lattice structures. The hidden Fermi surface instability provides a universal origin of noncollinear and noncoplanar instabilities common to frustrated and unfrustrated lattice systems.
Keywords
Cite
@article{arxiv.1406.3119,
title = {Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces},
author = {Satoru Hayami and Yukitoshi Motome},
journal= {arXiv preprint arXiv:1406.3119},
year = {2014}
}
Comments
5 pages, 4 figures