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We performed the high hydrostatic pressure resistivity measurements (up to1.7 GPa) on the newly discovered superconductors $A_{x}$Fe$_2$Se$_2$ ($A$ = Kand Cs) single crystals. Two batches of single crystals $K_xFe_2Se_2$ withdifferent transition temperatures ($T_c$) were used to study the effect ofpressure. The $T_c$ of the first one gradually decreases with increasingpressure from 32.6 K at ambient pressure. While a dome-like behavior wasobserved for the crystal with $T_c=31.1$ K, and $T_c$ reaches its maximum valueof 32.7 K at the pressure of 0.48 GPa. It indicates that there exists a optimaldoping with maximum $T_c$ of 32.7K in $K_xFe_2Se_2$ system. The behavior of$T_c$ vs. pressure for $Cs_xFe_2Se_2$ also shows a dome-like behavior, and$T_c$ reaches its maximum value of 31.1 K at the pressure of 0.82 GPa. The humpobserved in temperature dependence of resistivity for all the samples tends toshift to high temperature with increasing pressure. The resistivity hump couldarise from the vacancy of Fe or Se.

Pressure effect on superconductivity of $A_{x}$Fe$_2$Se$_2$ ($A$ = K and Cs)