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We present a catalogue of 551,214 main-sequence stars in the local ($d < 2$kpc) Galactic thick disk and halo, based on a search of stars with large propermotions ($\mu_{\mathrm{tot}} > 40.0$ mas/yr) in the Gaia Early Data Release 3.We derive photometric metallicity calibrated from thecolour-luminosity-metallicity distribution of 20,047 stars with spectroscopicmetallicities, collected from various spectroscopic surveys, including SDSSSEGUE/APOGEE, GALAH DR3, and LAMOST DR6. We combine these results to constructan empirical colour-magnitude-metallicity grid, which can be used to estimatephotometric metallicities for low-mass metal-poor stars of K and M subtypesfrom their absolute $G$ magnitude and colour values. We find that low-mass,high-velocity stars in our catalogue share similar kinematics as reported inrecent studies of more luminous Galactic halo stars. The pseudo-kinematicanalysis of our sample recovers the main local halo structures, including theGaia-Enceladus Stream and the Helmi stream; aside from these the local halostars appear to show a remarkably smooth distribution in velocity space. Sincethe future Gaia data release will provide radial velocity measurements for onlya small number of our sample, our catalogue provides targets of high interestfor the future spectroscopic observation programs like SDSS-V, DESI MW survey,WEAVE, and/or 4MOST.

Stars in the Local Galactic Thick Disk and Halo in Gaia EDR3: A catalogue of Half a Million Local Main-sequence Stars with Photometric Metallicities