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We present a new type of quantum critical material YbCo$_2$Ge$_4$, having thelargest quantum-critical pseudospin size ever. The YbCo$_2$Ge$_4$-typestructure is new, forms in the orthorhombic $Cmcm$ system, and is related tothe well-known ThCr$_2$Si$_2$ structure. Heavy rare earth (Tm,Yb,Lu, or Y)members are also possible to be grown. YbCo$_2$Ge$_4$ possesses the Ising-typeground-state doublet, namely the simplest ones of uniaxially up or down, $|\pm\sim 7/2\rangle$. It is clearly manifested through comprehensive resistivity,magnetization, specific heat, and NQR/NMR experiments. Large pseudospin stateusually tends to order in simple magnetisms, or hard to be screened by Kondoeffect. Therefore, the discovery of the quantum criticality of the fluctuatinglarge spins opens a new door to new-material search and theoretical studies.

Quantum Criticality Based on Large Ising Spins: YbCo$_2$Ge$_4$ with New 1-2-4 Structure Type