Investigation of quantum criticality in the new heavy fermion compound Ce$_{\mathrm{2}}$PdAl$_{\mathrm{7}}$Ge$_{\mathrm{4}}$

Ce-based intermetallic compounds exhibit a variety of interesting ground states including magnetic order, heavy fermion behavior, unconventional superconductivity, and non-Fermi liquid behavior. When magnetic order is suppressed to T$=$ 0 K, or quantum critical point, by chemical substitution, pressure, or magnetic field, a dome of unconventional superconductivity is often found. Close to the quantum critical point, non-Fermi liquid temperature dependencies of the thermodynamic and transport properties are observed. ~ Recently, a new family of tetragonal Ce$_{\mathrm{2}}$MAl$_{\mathrm{7}}$Ge$_{\mathrm{4}}$ (M$=$Co, Ni, Pd, Ir) compounds was discovered. While the Ce$_{\mathrm{2}}$MAl$_{\mathrm{7}}$Ge$_{\mathrm{4}}$ (M$=$Co, Ir, Ni) materials order magnetically between T$_{\mathrm{m}}=$0.8 - 1.6 K, Ce$_{\mathrm{2}}$PdAl$_{\mathrm{7}}$Ge$_{\mathrm{4}}$ exhibits non-Fermi liquid behavior at low temperature. Here, we discuss the quantum criticality in Ce$_{\mathrm{2}}$PdAl$_{\mathrm{7}}$Ge$_{\mathrm{4}}$.