Non-Fermi-liquid behavior and anomalous suppression of Landau damping in layered metals close to ferromagnetism

We analyse the low-energy physics of nearly ferromagnetic metals in two spatial dimensions using the functional renormalization group technique. We find a new class of low-energy fixed point, at which the fermionic (electron-like) excitations are non-Fermi-liquid ($z_f = 7/6$) and the magnetic fluctuations exhibit an anomalous Landau damping whose rate vanishes as $\Gamma_{\bf q} \sim \vert {\bf q} \vert^{1/3}$ in the low-$\vert {\bf q} \vert$ limit. We discuss the physical nature of this fixed point, and highlight its possible applicability to experiments on UGe$_2$ and related compounds.