Carrier injection layers are formed on an Al.sub.x Ga.sub.1-x As clad layer of high resistance by embedding and re-growth with the use of crystal growth processes such as MO-VPE or MO-MBE where material supply sources are all provided by gas sources, whereby it is not required to mesa-etch embedding regions to a depth reaching a substrate. The formation of any separate blocking layer is dispensed with, any possible influence of the substrate is elminated, and the time constant is decreased by decreasing the inter-electrode capacity.