Checkerboard bubble lattice formed by octuple-period quadruple-$Q$ spin density waves
Abstract
We investigate multiple- instability on a square lattice at particular ordering wave vectors. We find that a superposition of quadruple- spin density waves, which are connected by fourfold rotational and mirror symmetries, gives rise to a checkerboard bubble lattice with a collinear spin texture as a result of the geometry among the constituent ordering wave vectors in the Brillouin zone. By performing the simulated annealing for a fundamental spin model, we show that such a checkerboard bubble lattice is stabilized under an infinitesimally small easy-axis two-spin anisotropic interaction and biquadratic interaction at zero field, while it is degenerate with an anisotropic double- state in the absence of the biquadratic interaction. The obtained multiple- structures have no intensities at high-harmonic wave vectors in contrast to other multiple- states, such as a magnetic skyrmion lattice. We also show that the checkerboard bubble lattice accompanies the charge density wave and exhibits a nearly flat band dispersion in the electronic structure. Our results provide another route to realize exotic multiple- spin textures by focusing on the geometry and symmetry in terms of the wave vectors in momentum space.
Keywords
Cite
@article{arxiv.2307.10444,
title = {Checkerboard bubble lattice formed by octuple-period quadruple-$Q$ spin density waves},
author = {Satoru Hayami},
journal= {arXiv preprint arXiv:2307.10444},
year = {2024}
}
Comments
10 pages, 10 figures