Effect of interdiffusion on electronic states in one-layer quantum ring superlattice

•Effect of interdiffusion on band structure of one layer quantum ring superlattice is investigated.•The dependence of effective mass on Al concentration leads to the energy correction up to 10 meV.•In the result of interdiffusion the superlattice symmetry prevails on the cylindrical one of the ring.•The superlattice minibands rise and widen due to interdiffusion.•The Bloch amplitudes strongly depend on the quasimomentum direction, in the diffused potential.

The effect of interdiffusion on band structure and Bloch amplitudes of two dimensional superlattice composed of initially cylindrical quantum rings is investigated in the framework of adiabatic approach and using transformation to in-plane momentum space. It is shown that the adiabatic approximation is applicable even if the ring’s height is equal to its radius, because of weak localization of electron in the superlattice plane comparing with the localization in perpendicular direction. The consideration of the dependence of effective mass on spatial coordinate and time leads to the energy correction up to 10 meV. It is shown that energy minibands rise and become wider due to interdiffusion and the dependence of Bloch amplitudes on quasimomentum direction is more pronounced in the case of diffused potential profile.

Graphical abstractThe effect of interdiffusion on electronic states of two dimensional superlattice composed of initially cylindrical quantum rings is investigated in the framework of adiabatic approach and using transformation to in-plane momentum space. The dispersion curves of the first and the second minibands of QRSL for various values of diffusion length: 1. L = 0.01a, 2. L = 0.05a, 3. L = 0.1a, 4. L = 0.15a, 5. L = 0.2a. kxy obtains the absolute values of quasimomentum vector.Figure optionsDownload full-size imageDownload as PowerPoint slide