Magnon Dispersion and Anisotropies in SrCu$_2$(BO$_3$)$_2$

Details Magnon Dispersion and Anisotropies in SrCu$_2$(BO$_3$)$_2$ Magnon Dispersion and Anisotropies in SrCu$_2$(BO$_3$)$_2$

2006-12-22

arxiv.org/abs/cond-mat/0612598v2

Phys. Rev. B 75, 144422 (2007)

Physics

Condensed Matter

Materials Science

11 pages, 7 figures, 1 table, v2 conclusion shortened, figs clarified

Scientific paper

We study the dispersion of the magnons (triplet states) in SrCu$_2$(BO$_3$)$_2$ 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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