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In many cases, unconventional superconductivity are realized by suppressinganother order parameter, such as charge density wave (CDW) or spin density wave(SDW). This suggests that the fluctuations of these order parameters play animportant role in producing superconductivity. LaPt$_2$Ge$_2$ undergoes atetragonal-to-monoclinic structural phase transition (SPT) at $T_{\rm s}$ = 394K, accompanying a double period modulation in the $a$-axis direction, andsuperconducts at $T_{\rm c}$ = 0.41 K. We performed band calculations and found2D (two dimensional)-like Fermi surfaces with partial nesting. A reduction inthe density of states in the monoclinic phase was found in the calculation andconfirmed by $^{195}$Pt-NMR. We suggest a CDW as a possible cause for the SPT.By changing the stoichiometry between Pt and Ge, we succeeded in suppressing$T_{\rm s}$ and increasing $T_{\rm c}$ in LaPt$_{2-x}$Ge$_{2+x}$. Comparison of$^{139}$La- and $^{195}$Pt-NMR data reveals moderate fluctuations associatedwith SPT. From $^{139}$La-NQR measurements at zero field, we found that anisotropic superconducting gap is realized in LaPt$_{2-x}$Ge$_{2+x}$ ($x$ =0.20). We discuss the relationship between superconductivity and the SPTorder/fluctuations.

Superconductivity and the electronic phase diagram of LaPt$_{2-x}$Ge$_{2+x}$