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We report inelastic neutron scattering measurements of the magneticexcitations in Ba2CuTeO6, proposed by ab initio calculations to magneticallyrealize weakly coupled antiferromagnetic two-leg spin-1/2 ladders. Isolatedladders are expected to have a singlet ground state protected by a spin gap.Ba2CuTeO6 orders magnetically, but with a small Neel temperature relative tothe exchange strength, suggesting that the interladder couplings are relativelysmall and only just able to stabilize magnetic order, placing Ba2CuTeO6 closein parameter space to the critical point separating the gapped phase and Neelorder. Through comparison of the observed spin dynamics with linear spin wavetheory and quantum Monte Carlo calculations, we propose values for all relevantintra- and interladder exchange parameters, which place the system on theordered side of the phase diagram in proximity to the critical point. We alsocompare high field magnetization data with quantum Monte Carlo predictions forthe proposed model of coupled ladders.

Spin dynamics of coupled spin ladders near quantum criticality in Ba2CuTeO6