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We measure the cosmological bias factor of DLAs from their cross-correlationwith the Ly$\alpha$ forest absorption, as a function of the DLA metal strength,defined from an average of equivalent widths of the strongest detectablelow-ionization metal lines. A clear increase of the bias factor with metalstrength is detected, as expected from a relation of metallicity and velocitydispersion with host halo mass. The relation is stronger after the metalstrength is corrected for the HI column density, to make it more related tometallicity instead of metal column density. After correcting for the effectsof measurement errors of the metal strength parameter, we find that the biasfactor of DLAs with the weakest metal lines is close to unity, consistent withan origin in dwarf galaxies with host halo masses $\sim10^{10} M_{\odot}$,whereas the most metal rich DLAs have a bias factor as large as $b_{\rm DLA}\sim 3$, indicative of massive galaxies or galaxy groups in host halos withmasses $\sim 10^{12} M_{\odot}$. Our result confirms the physical origin of therelation of bias factors measured from cross-correlation studies to the hosthalos of the absorbers.

The Cosmological Bias Factor of Damped Lyman Alpha systems: Dependence on Metal Line Strength