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In order to estimate the magnitude of sample heating we assume one-dimensional heat conduction from the sample surface towards its rear side. The temperature difference ΔT between surface and rear side can be calculated as ΔT= Pl λA with P being the incident light power, l the sample thickness (here: 0.5 mm), A the illuminated area (here: 5× 10-3 mm2 for the unexpanded laser beam), and λ the heat conductivity of SrTiO3 [10W K-1 m-1 in the range between 100 and 300 K (Ref.)]. At a laser power of 100 mW our estimation gives a temperature difference of 1 K.
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Note that the value of 500 nm is somewhat arbitrary because the influence of the substrate grows continuously towards shorter wavelengths. However, for the discussion it is convenient to distinguish two different regimes of the photoresponse behavior.
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