I am modelling a structure that contains a thin (40 nm) layer of gold. According to Ordal et al., the complex refractive index of Au at 3 THz (~100μm) is n=225+319i, which translates to complex conductivity of 2.4e7 +i*8.53e6 S/m. However, Laman and Grischkowsky report a significant reduction in conductivity for thin layers (~80nm, much more than the skin depth) at low temperatures (77K). I'm wondering if there have been any reports on even thinner layers at low temperatures? My experiments seem to confirm that there is a decrease in conductivity, but I am looking for a simple model to justify it. I am aware of the papers that deal with the percolation transition (Walther et al.), but my layer is much thicker than this. Besides, they only fit the conductivity to their data, but they don't propose any thickness-dependent formula for conductivity.
Article Optical properties of Au, Ni, and Pb at submillimeter wavelengths
Article Terahertz conductivity of thin gold films at the metal-insul...
Article Terahertz conductivity of thin metal films