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Theoretical approach to the excitonic response of GaAs nanomembranes in the averaged-strain approximation

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Abstract

GaAs nanomembranes are thin crystalline GaAs semiconductor structures that can be bent or otherwise elastically deformed from their natural shape. We present a microscopic theory of the linear optical response of such deformed structures. Our approach combines conventional structural analysis (based on the theory of elasticity), the valence band Hamiltonians (Luttinger and Pikus–Bir) for III–V semiconductors, and the semiconductor Hamiltonian including Coulomb interaction. We formulate the general equation of motion for the interband polarization for thin elastically deformed nanomembranes. A simple limiting case results from the single-subband approximation and the averaged-strain approximation. Within this approximation scheme, we present numerical results for excitonic spectra for a cylindrically deformed membrane.

©2012 Optical Society of America

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