“…There is a longstanding question concerning the competition, coexistence, or even cooperation between CDW and SC, as well as about the nature of the CDW phase transition. For the phase transition, several works reported a first-order structural phase transition where pressure initially suppresses the CDW, but enhances the superconducting transition temperature T SC [54], whereas others find a second-order phase transition that extrapolates to a structural quantum critical point (SQCP), around which a dome-shaped variation of T SC is found [37,38,55]. For instance, for the compound LaPt 2 Si 2 [54] with transition temperature T SC = 1.87 K and a superlattice structural transition at T = 76 K, it is suggested that the occurrence of a SC dome-like can be accounted for, within the BCS theory, assuming there is a maximum in the density of states N (E F ) upon the closure of the CDW gap.…”