  We propose a holographic theory to explain numbers of anomalous critical
phenomena observed in certain heavy-fermion metals, e.g.
$\mathrm{CeCu_{5.9}Au_{0.1}}$ and $\mathrm{YbRh_{2}(Si_{0.95}Ge_{0.05}})_{2}$,
which are incompatible with any conventional spin-density-wave quantum critical
point theory. We show that the non-Gaussian nature of the fixed point from
holography plays an essential role in the physics of these materials near a
quantum critical point, which is not in the same universality class of the
spin-density-wave type fixed point. The critical spin fluctuations at the
non-Gaussian fixed point are strongly anisotropic, localized in spatial
directions and critical in temporal direction with critical exponent 2/3 in
frequency over temperature dependence at low temperature. The local critical
exponent tends to unity which leads to a constant spin relaxation rate in the
quantum critical regime at high temperature. The stability of the fixed point
is also discussed.
