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The metallicity dependence of the wide binary fraction (WBF) is critical forstudying the formation of wide binaries. While controversial results have beenfound in recent years. Here we combine the wide binary catalog recognized fromGaia EDR3 and stellar parameters from LAMOST to investigate this topic. Takingbias of the stellar temperature at given separations into account, we find thatthe relationship between the WBF and metallicity depends on temperature for thethin-disk at s > 200 AU. It changes from negative to positive as thetemperature increases from 4000 K to 7500 K. This temperature/mass dependenceis not seen for the thick-disk. Besides, the general tendency between the WBFand metallicity varies with the separation, consistent with previous results.It shows anti-correlation at small separations, s < 200 AU for the thin-diskand s < 600 AU for the thick-disk. Then it becomes an "arcuate" shape at largerseparations (hundreds to thousands of AU), peaking at [Fe/H] ~ 0.1 for thethin-disk and [Fe/H] ~ -0.5 for the thick disk. Finally it becomes roughly flatfor the thin-disk at 1000 < s < 10000 AU. Our work provides new observationalevidences for theoretical studies on binary formation and evolution.

Not that simple: the metallicity dependence of the wide binary fraction changes with separation and stellar mass