Thermal conductivity of one-dimensional Fibonacci quasicrystals

We consider a general Fibonacci quasicrystal (FQC) in which both the masses and the elastic constants are aperiodically arranged. Making use of a suit able decimation scheme, inspired by real-space renormalization-group concep ts, we obtain closed analytical expressions for the global transfer matrix and transmission coefficient for several resonant critical normal modes. Th e fractal structure of the frequency spectrum significantly influences both the cumulative contribution of the different normal modes to the thermal t ransport and the dependence of the thermal conductivity with the temperatur e over a wide temperature range. The role of resonant effects in the heat t ransport through the FQC is numerically and analytically discussed.