Polaron effects in cylindrical GaAs/AlxGa1–xAs core-shell nanowires**Project supported by the National Natural Science Foundation of China (Grant Nos. 10574011 and 10974017).

Abstract

By the fractal dimension method, the polaron properties in cylindrical GaAs/AlxGa1–xAs core-shell nanowire are explored. In this study, the polaron effects in GaAs/AlxGa1–xAs core-shell nanowire at different values of shell width and aluminum concentration are discussed. The polaron binding energy, polaron mass shift and fractal dimension parameter are numerically worked out each as a function of core radius. The calculation results show that the binding energy and mass shift of the polaron first increase and then decrease as the core radius increases, forming their corresponding maximum values for different aluminum concentrations at a given shell width. Polaron problems in the cylindrical GaAs/AlxGa1–xAs core-shell nanowire are solved simply by using the fractal dimension method to avoid complex and lengthy calculations.