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Two-dimensional ferromagnetic electron gases subject to random scalarpotentials and Rashba spin-orbit interactions exhibit a striking quantumcriticality. As disorder strength $W$ increases, the systems undergo atransition from a normal diffusive metal consisting of extended states to amarginal metal consisting of critical states at a critical disorder $W_{c,1}$.Further increase of $W$, another transition from the marginal metal to aninsulator occurs at $W_{c,2}$. Through highly accurate numerical proceduresbased on the recursive Green's function method and the exact diagonalization,we elucidate the nature of the quantum criticality and the properties of thepertinent states. The intrinsic conductances follow an unorthodoxsingle-parameter scaling law: They collapse onto two branches of curvescorresponding to diffusive metal phase and insulating phase with correlationlengths diverging exponentially as $\xi\propto\exp[\alpha/\sqrt{|W-W_c|}]$ neartransition points. Finite-size analysis of inverse participation ratios revealsthat the states within the critical regime $[W_{c,1},W_{c,2}]$ are fractals ofa universal fractal dimension $D=1.90\pm0.02$ while those in metallic(insulating) regime spread over the whole system (localize) with $D=2$ ($D=0$).A phase diagram in the parameter space illuminates the occurrence and evolutionof diffusive metals, marginal metals, and the Anderson insulators.

Unusual Metal to Marginal-Metal Transition in Two-Dimensional Ferromagnetic Electron Gases