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Superconductivity (SC) with the suppression of long-range antiferromagnetic(AFM) order is observed in the parent compounds of both iron-based and cupratesuperconductors. The AFM wave vectors are bicollinear ($\pi$, 0) in the parentcompound FeTe different from the collinear AFM order ($\pi$, $\pi$) in mostiron pnictides. Study of the phase diagram of Fe$_{1+y}$Te$_{1-x}$Se$_x$ is themost direct way to investigate the competition between bicollinear AFM and SC.However, presence of interstitial Fe affects both magnetism and SC ofFe$_{1+y}$Te$_{1-x}$Se$_x$, which hinders the establishment of the real phasediagram. Here, we report the comparison of doping-temperature ($x$-$T$) phasediagrams for Fe$_{1+y}$Te$_{1-x}$Se$_x$ (0 $\leq$ $x$ $\leq$ 0.43) singlecrystals before and after removing interstitial Fe. Without interstitial Fe,the AFM state survives only for $x$ $<$ 0.05, and bulk SC emerges from $x$ =0.05, and does not coexist with the AFM state. The previously reported spinglass state, and the coexistence of AFM and SC may be originated from theeffect of the interstitial Fe. The phase diagram of Fe$_{1+y}$Te$_{1-x}$Se$_x$is found to be similar to the case of the "1111" system such asLaFeAsO$_{1-x}$F$_x$, and is different from that of the "122" system.

Influence of interstitial Fe to the phase diagram of Fe$_{1+y}$Te$_{1-x}$Se$_x$ single crystals