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

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.

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

References in corpus (3)

• In-Gap Spin Excitations and Finite Triplet Lifetimes in the Dilute Singlet Ground State System SrCu(2-x)Mgx(BO3)2
• Phase transitions in the Shastry-Sutherland lattice
• In-plane substitution effect on the magnetic properties of two-dimensional Spin-gap system SrCu${}_2$(BO${}_3$)${}_2$

Cited by in corpus (18)

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• Thermal Hall effects in quantum magnets
• The effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu2(BO3)2
• Dynamics and Instabilities of the Shastry-Sutherland Model
• Electron spin resonance in S=1/2 antiferromagnets at high temperature
• First-principles investigation of symmetric and antisymmetric exchange interactions of SrCu${}_2$(BO${}_3$)${}_2$
• Microscopic mechanism for the 1/8 magnetization plateau in SrCu_2(BO_3)_2
• Interacting topological Dirac magnons
• Negative Thermal Hall Conductance in Two-Dimer Shastry-Sutherland Model with π-flux Dirac Triplon
• Theory of the Raman spectra of the Shastry-Sutherland antiferromagnet SrCu${}_2$(BO${}_3$)${}_2$ doped with nonmagnetic impurities
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Magnetization plateaux in an extended Shastry-Sutherland model
• Intrinsic suppression of topological thermal Hall effect in an exactly solvable quantum magnet
• Reply to the Comment by S.E. Sebastian and N. Harrison