Magnon Dispersion and Anisotropies in SrCu$_2$(BO$_3$)$_2$
Y. F. Cheng, O. Cepas, P. W. Leung, and T. Ziman
TL;DR
This paper investigates the magnon dispersion in SrCu$_2$(BO$_3$)$_2$, highlighting the dominant role of Dzyaloshinskii-Moriya interactions and simplifying the Hamiltonian for analysis.
Contribution
It introduces a simplified Hamiltonian form for SrCu$_2$(BO$_3$)$_2$ including all symmetry-allowed Dzyaloshinskii-Moriya interactions and analyzes their effects on magnon dispersion.
Findings
Dzyaloshinskii-Moriya interactions dominate magnon dispersion.
A simplified Hamiltonian form is derived through spin rotations.
Linear-order effects of anisotropies on dispersion are identified and quantified.
Abstract
We study the dispersion of the magnons (triplet states) in SrCu(BO) including all symmetry-allowed Dzyaloshinskii-Moriya interactions. We can reduce the complexity of the general Hamiltonian to a new simpler form by appropriate rotations of the spin operators. The resulting Hamiltonian is studied by both perturbation theory and exact numerical diagonalization on a 32-site cluster. We argue that the dispersion is dominated by Dzyaloshinskii-Moriya interactions. We point out which combinations of these anisotropies affect the dispersion to linear-order, and extract their magnitudes.
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