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When the coverage of the second atomic layer of Fe in an Fe/W(110) ultrathinfilm reaches a critical value, the system moves suddenly from a frustratedmagnetic state without long-range order to an in-plane ferromagnetic state withlong-range order, and displays many features of a percolation transition.Measurements of the magnetic susceptibility as the films are grown at 255 Kshow power law scaling that is limited by noise at low deposition, and by thedynamics of the paramagnetic, frustrated state at high deposition. Because themeasurements represent a system driven by a finite field oscillating at afinite frequency, it is demonstated that the threshold deposition forpercolation is bounded by the depositions where the real and imaginarycomponents of the susceptibility have maxima. Fitting for the critical exponentof the static susceptibility at these bounds gives a bounded value for$\gamma_p=2.39\pm0.04$, in agreement with theory.

physical review. b./physical review. b

Two-dimensional percolation transition in two atomic layers of Fe on  W(110): Direct measurement of a static percolation critical exponent in a  two-dimensional Ising system