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We cross-correlate the positions of damped Lyman-$\alpha$ systems (DLAs) andtheir parent quasar catalog with a convergence map derived from the Planckcosmic microwave background (CMB) temperature data. We make consistentmeasurements of the lensing signal of both samples in both Fourier andconfiguration space. By interpreting the excess signal present in the DLAcatalog with respect to the parent quasar catalog as caused by the large scalestructure traced by DLAs, we are able to infer the bias of these objects:$b_{\rm DLA}=2.6\pm0.9$. These results are consistent with previousmeasurements made in cross-correlation with the Lyman-$\alpha$ forest, althoughthe current noise in the lensing data and the low number density of DLAs limitsthe constraining power of this measurement. We discuss the robustness of theanalysis with respect to a number different systematic effects and forecastprospects of carrying out this measurement with data from future experiments.

Bias of Damped Lyman-$\alpha$ systems from their cross-correlation with CMB lensing