Itinerant magnetism in quantum critical YFe${}_2$Al${}_{10}$

The absence of magnetic order and the scaling laws in thermodynamcal and transport properties in layered compound YFe${}_2$Al${}_{10}$ suggest competition among different types of collective quantum states. Measurements on magnetic susceptibility have demonstrated a Curie-Weiss (CW) behavior with a reduced fluctuating Fe moment of 0.45µB and $T_{CW} \simeq -28K$. Using first principle methods, we show that the correlation in YFe2Al10 is moderate and the Fe magnetism is itinerant. Competing ground states include a paramagnetic state, an in-plane antiferromagnetic ordering (G-type) state and an in-plane collinear ordering (C-type) state. Although a bulk ferromagnetic order is not favored in total energy, both the G-type and C-type ground state prefer ferromagnetic inter-layer coupling.