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Bandgap renormalization in T-shaped quantum nanowires

Bandgap renormalization for the geometry of T-shaped quantum wires is calculated as a function of the electron–hole plasma density and quantum wire width in the random phase approximation. Considering a suitable confinement potential, a numerical scheme has been proposed to calculate the screened Coulomb potential, profile of charge density with various quantum wire widths and relative renormalization of gap energy. We will show that carrier concentration, screened confinement potential and relative bandgap renormalization are functions of the ratio of well width in the x and y directions. We also show that increasing temperature leads to more relative renormalization of gap energy.