Search for the $Y(4140)$ via $e^{+}{e}^{-}\to \gamma \varphi J\mathrm{/}\psi$ at $\sqrt{s}=$ 4.23, 4.26 and 4.36 GeV

Using data samples collected at center-of-mass energies $\sqrt{s}=4.23$, 4.26, and 4.36 GeV with the BESIII detector operating at the BEPCII storage ring, we search for the production of the charmoniumlike state $Y(4140)$ through a radiative transition followed by its decay to $\varphi J\mathrm{/}\psi$. No significant signal is observed and upper limits on $\sigma[e^{+} e^{-} \rightarrow \gamma Y(4140)] \cdot $\mathcal{B}$(Y(4140)\rightarrow \phi J/\psi)$atthe$90%$confidencelevelareestimatedas0.35,0.28,and0.33pbat$\sqrt{s} = 4.23$, 4.26, and 4.36 GeV, respectively.