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

Y. F. Cheng; O. Cepas; P. W. Leung; T. Ziman

doi:10.1103/PhysRevB.75.144422

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

Materials Science 2015-06-25 v2

Authors: Y. F. Cheng , O. Cepas , P. W. Leung , T. Ziman

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Abstract

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.

Keywords

magnon dispersion Dzyaloshinskii-Moriya interactions SrCu2(BO3)2 triplet states perturbation theory numerical diagonalization

Cite

@article{arxiv.cond-mat/0612598,
  title  = {Magnon Dispersion and Anisotropies in SrCu$_2$(BO$_3$)$_2$},
  author = {Y. F. Cheng and O. Cepas and P. W. Leung and T. Ziman},
  journal= {arXiv preprint arXiv:cond-mat/0612598},
  year   = {2015}
}

Comments

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

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