Abstract
The influence of the screening effect of the electron–phonon interaction on weakly coupling Fröhlich polaron energy has been investigated in semiconducting nanotubes (NTs). General analytical expressions for the polaron energy have been obtained in arbitrary values of NT radius, taking into account screening as well as considering transitions between subbands of dimensional quantization. The dependence of the polaron energy for ground and excited states on NT radius has been represented on the basis of our numerical calculations. According to research carried out, it has been established that the screening contribution to polaron energy taking into account the virtual transitions from the ground state to subbands n=±1, ±2, ±3, as well as the transitions from the polaron excited state with n=1 to subbands n=−1, ±2, ±3, is significant for a=r0 /rp < 1 values, where r0 is the NT radius. For values of the parameter a≥ 1 the screening contribution to polaron energy decreases with increasing NT radius, but the decrease of binding energy of the polaron due to screening is still more than 50%.
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