Evolution of charge density wave order and superconductivity under pressure in LaPt${}_2$Si${}_2$

We report measurements of the electrical resistivity and ac magnetic susceptibility of single crystalline LaPt${}_2$Si${}_2$ under pressure, in order to investigate the interplay of superconductivity and CDW order. LaPt${}_2$Si${}_2$ exhibits a first order phase transition from a tetragonal to orthorhombic structure, accompanied by the onset of CDW order below $T_{\mathrm{C}\mathrm{D}\mathrm{W}}$ = 76 K, while superconductivity occurs at a lower temperature of $T_{\mathrm{c}}$ = 1.87 K. We find that the application of pressure initially suppresses the CDW transition, but enhances $T_{\mathrm{c}}$. At pressures above 2.4 GPa, CDW order vanishes, while both $T_{\mathrm{c}}$ and the resistivity $A$-coefficient reach a maximum value around this pressure. Our results suggest that the occurrence of a superconducting dome can be accounted for within the framework of BCS theory, where there is a maximum in the density of states upon the closure of the CDW gap.