Method for forming a multilayer substrate structure

A multilayer substrate structure comprises a substrate, a thermal matching layer formed on the substrate and a lattice matching layer above the thermal matching layer. The thermal matching layer includes at least one of molybdenum, molybdenum-copper, mullite, sapphire, graphite, aluminum-oxynitrides, silicon, silicon carbide, zinc oxides, and rare earth oxides. The lattice matching layer includes a first chemical element and a second chemical element to form an alloy. The first and second chemical element has similar crystal structures and chemical properties. The coefficient of thermal expansion of the thermal matching layer and the lattice parameter of the lattice matching layer are both approximately equal to that of a member of group III-V compound semiconductors. The lattice constant of the lattice matching layer is approximately equal to that of a member of group III-V compound semiconductor. The lattice matching layer and the thermal matching layer may be deposited on a substrate using a lateral control shutter.