The stellar mass–metallicity relation (M –Z; MZR) indicates that the metallicities of galaxies increase with increasing stellar masses. The fundamental metallicity relation (FMR) suggests that galaxies with higher star formation rates (SFRs) tend to have lower metallicities for a given stellar mass. To examine whether the MZR and FMR still hold at poorer metallicities and higher redshifts, we compile a sample of 35 star-forming galaxies (SFGs) at 0.6?z?iii]λ4363 emission line (S/N ≥ 3). With the electronic temperature metallicity calibration, we find nine SFGs that are extremely metal-poor galaxies with 12?+?log(O/H)?≤?7.69 (1/10 Z ⊙). The metallicity of the most metal-deficient galaxy is 7.35?±?0.09 (about 1/20 Z ⊙). Compared to the SFGs with normal metallicities in the local and high-redshift universe, our metal-poor SFGs have more than 10 times higher SFRs at a fixed stellar mass. We create a new mass–SFR relation for these metal-poor galaxies at 0.6?z.
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