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We study spin liquid in the frustrated diamond lattice antiferromagnetCoAl2O4 by means of single crystal neutron scattering in zero and appliedmagnetic field. The magnetically ordered phase appearing below TN=8 K remainsnonconventional down to 1.5 K. The magnetic Bragg peaks at the q=0 positionsremain broad and their profiles have strong Lorentzian contribution.Additionally, they are connected by weak diffuse streaks along the <111>directions. These observations are explained within the spiral spin liquidmodel as short-range magnetic correlations of spirals populated at these finitetemperatures, as the energy minimum around q=0 is flat and the energy ofexcited states with q=(111) is low. The agreement is only qualitative, leadingus to suspect that microstructure effects are also important. Magnetic fieldsignificantly perturbs spin correlations. The 1.5 K static magnetic momentincreases from 1.58 mB/Co at zero field to 2.08 mB/Co at 10 T, while themagnetic peaks, being still broad, acquire almost Gaussian profile. Spinexcitations are rather conventional spin waves at zero field, resulting in theexchange parameters J1=0.92(1) meV, J2=0.101(2) meV and the anisotropy termD=-0.0089(2) meV for CoAl2O4. The application of a magnetic field leads to apronounced broadening of the excitations at the zone center, which at 10 Tappear gapless and nearly featureless.

Spin liquid in a single crystal of the frustrated diamond lattice antiferromagnet CoAl2O4