Spin waves and three-dimensionality in the high-pressure antiferromagnetic phase of SrCu${}_2$(BO${}_3$)${}_2$

Abstract

Quantum magnetic materials can provide explicit realizations of paradigm models in quantum many-body physics. In this context, SrCu${}_2$(BO${}_3$)${}_2$ is a faithful realization of the Shastry-Sutherland model (SSM) for ideally frustrated spin dimers, even displaying several of its quantum magnetic phases as a function of pressure. We perform inelastic neutron scattering (INS) measurements on SrCu${}_2$(BO${}_3$)${}_2$ at 5.5 GPa and 4.5 K, observing spin waves that characterize the high-pressure antiferromagnetic phase. The experimental spectra are well described by linear spin-wave calculations on a SSM with an inter-layer interaction, which is determined accurately as $J_c=0.053(3)$ meV. The presence of $J_c$ indicates the need to account for the three-dimensional nature of SrCu${}_2$(BO${}_3$)${}_2$ in theoretical models, also at lower pressures. We find that the ratio between in-plane interactions, $J^{\prime }/J=1.8(2)$, undergoes a dramatic change compared to lower pressures that we deduce is driven by a sharp drop in the dimer coupling, $J$. Our results underline the wide horizons opened by high-pressure INS experiments on quantum magnetic materials.

Main text + supplemental material

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