The impact of bond order loss of surface atoms on thermal conductivity of cylindrical silicon nanowires has been examined using the isotropic elastic continuum model. A core-shell structure with a modified Young’s modulus in the surface skin of the wire has been used. Thermal conductivity is calculated from modified phonon dispersion relations based on recent developed bond-order-length-strength (BOLS) correlation. This work extends the previous linear approximation [Yeung et al Phys. Rev. B74, 155317 (2006)] to calculate the phonon dispersion relation of torsional mode and longitudinal mode using the nonlinear approach. A significant increase in thermal conductivity is found compared to the case without using BOLS correlation.

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