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We have studied spin excitation spectra in the Shastry-Sutherland modelcompound SrCu$_2$(BO$_3$)$_2$ in magnetic fields using far-infrared Fourierspectroscopy. The transitions from the ground singlet state to the tripletstate at 24 cm$^{-1}$ and to several bound triplet states are induced by theelectric field component of the far-infrared light. To explain the lightabsorption in the spin system we invoke a dynamic Dzyaloshinskii-Moriya (DM)mechanism where light couples to a phonon mode, allowing the DM interaction.Two optical phonons couple light to the singlet to triplet transition inSrCu$_2$(BO$_3$)$_2$. One is $a$-polarized and creates an intra-dimer dynamicDM along the c axis. The other is $c$-polarized and creates an intra-dimerdynamic DM interaction, it is in the $(ab)$ plane and perpendicular to thedimer axis. Singlet levels at 21.5 and 28.6 cm$^{-1}$ anti-cross with the firsttriplet as is seen in far-infrared spectra. We used a cluster of two dimerswith a periodic boundary condition to perform a model calculation with scaledintra- and inter-dimer exchange interactions. Two static DM interactions aresufficient to describe the observed triplet state spectra. The staticinter-dimer DM in the c-direction $d_1=0.7$ cm$^{-1}$ splits the triplet statesub-levels in zero field [C\'{e}pas et al., Phys. Rev. Lett. \textbf{87},167205 (2001)]. The static intra-dimer DM in the $(ab)$ plane (perpendicular tothe dimer axis) $d_2=1.8$ cm$^{-1}$, allowed by the buckling of CuBO$_3$planes, couples the triplet state to the 28.6 cm$^{-1}$ singlet as is seen fromthe avoided crossing.Comment: 12 pages with 7 figures, some references correcte

physical review. b, condensed matter and materials physics

Far-infrared spectroscopy of spin excitations and Dzyaloshinskii-Moriya interactions in the Shastry-Sutherland compound<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Sr</mml:mi><mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">B</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>)</mml:mo></…

Far-infrared spectroscopy of spin excitations and Dzyaloshinskii-Moriya interactions in the Shastry-Sutherland compoundSrCu2(BO3)