Quantum Criticality In Layered YFe$_{2}$Al$_{10}$

Most evidence for quantum criticality has been established in $f$-electron based heavy fermions. The observation and description of the quantum critical behaviors in magnetic systems driven by $d$ electrons has been very limited. YFe$_{2}$Al$_{10}$ is a rare $d$-electron compound where strong divergencies in magnetic susceptibility and specific heat were observed in zero field, although there is no evidence for long range order above 0.02 K We show that $\chi $ and C$_{\mathrm{M}}$/T exhibit T/B$^{0.6}$ scaling, and a scaling function of the singular part of the free energy was proposed that explains all the measured thermal and magnetic properties in a self-consistent way. Scaling analysis indicates that the spatial dimension d in YFe$_{2}$Al$_{10} $is equal to the dynamical exponent $z$. The validation of hyperscaling suggests the effective dimension may be in the range of 1\textless d$_{\mathrm{eff}}=$d$+$z$\le $4, which is in agreement with the observed anisotropy between the ac plane and the b axis Neutron scattering results on single crystals will be discussed. Our experiments suggest that YFe$_{2}$Al$_{10}$ is a novel 3d-electron system that is close to a T$=$0, B$=$0 ferromagnetic transition without the additional tuning.