Abstract
The surface roughness of gallium arsenide (001) films produced by metalorganic vapor-phase epitaxy has been studied as a function of temperature and growth rate by in situ scanning tunneling microscopy. Height–height correlation analysis reveals that the root-mean-height difference follows a power-law dependence on lateral separation, i.e., Γ(L)=kLa, up to a critical distance Lc, after which it remains constant. For layer-by-layer growth, the roughness exponent, α, equals 0.25±0.05, whereas the critical distance increases from 50 to 150 nm as the substrate temperature increases from 825 to 900 K. The roughness exponent jumps to 0.65±0.1 upon transitioning to three-dimensional island growth. By relating the height–height correlation analysis to the Einstein diffusivity relationship, the activation energy for gallium surface diffusion has been estimated: Ed=1.35±0.1 eV.
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