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We present analytical model and molecular dynamics simulations of phonon heattransport in nanowires and nanoribbons with anharmonic lattices and dynamicallyrough surfaces and edges. In agreement with recent experiments on heattransport in single-crystalline silicon nanowires with rough surfaces, ourmodel and simulations predict finite and length-independent phonon thermalconductivity in such quasi-one-dimensional systems, in contrast to anomalousphonon thermal conductivity of corresponding momentum-conserving systems withatomically smooth surfaces, divergent with the system length. Within our model,the main cause of thermal conductivity reduction is momentum-nonconservingscattering of longitudinal acoustic phonons by anharmonic side phonon leads inquasi-one-dimensional phonon waveguide with dynamically rough surface or edgelayers.

Reduced Thermal Conductivity of Nanowires and Nanoribbons with Dynamically Rough Surfaces and the "Problem of One-Dimensional Heat Conductors"