We present the Green Bank Telescope absorption survey of cold atomic hydrogen ( \lesssim 300 K ) in the inner halo of low-redshift galaxies .
The survey aims to characterize the cold gas distribution and to address where condensation - the process where ionized gas accreted by galaxies condenses into cold gas within the disks of galaxies - occurs .
Our sample consists of 16 galaxy-quasar pairs with impact parameters of \leq 20 kpc .
We detected an H i absorber associated with J0958+3222 ( NGC 3067 ) and H i emission from six galaxies .
We also found two Ca ii absorption system in the archival SDSS data associated with galaxies J0958+3222 and J1228+3706 , , although the sample was not selected based on the presence of metal lines .
Our detection rate of H i absorbers with optical depths of \geq 0.06 is \sim 7 % .
We also find that cold H i phase ( \lesssim 300 K ) is 44 ( \pm 18 ) % of the total atomic gas in the sightline probing J0958+3222 .
We find no correlation between the peak optical depth and impact parameter or stellar and H i radii normalized impact parameters , \rho / R _ { 90 } and \rho / R _ { HI } .
We conclude that the process of condensation of inflowing gas into cold ( \lesssim 300 K ) H i occurs at the \rho < < 20 kpc .
However , the warmer phase of neutral gas ( T \sim 1000 K ) can exists out to much larger distances as seen in emission maps .
Therefore , the process of condensation of warm to cold H i is likely occurring in stages from ionized to warm H i in the inner halo and then to cold H i very close to the galaxy disk .