Abstract
The authors construct a two-parameter scaling function due to power-law localisation in two dimensions. The scaling function is in good agreement with the experimental beta function of Davies, Pepper and Kaveh (see ibid., vol.16, p.L285, 1983). It is shown that although a diffusive-hopping transition is expected above the mobility edge, this has little effect on the form of the two-parameter scaling function. The authors also show that transport mechanisms associated with exponentially localised states lead to a beta function which contradicts the data. They conclude that the experimental scaling function of DPK strongly supports the existence of a mobility edge with power-law state above it.
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