Energy Minigaps in the Quantum Well Wires with Periodical Lateral Surface Structures

Energy minigaps caused by lateral surface structures in quasi-one-dimensional GaAs/ AlAs quantum well wires are calculated with the variational and degenerate-perturbational approaches.By a coordinate transformotion. the structured interfaces of the wires are transformed into planar ones so that the boundary conditions of the electronic wave functions can be satisfied exactly on the interfaces. The dependence of the energy minigaps on the lateral surface structures are discussed.