Anisotropic thermal conductivity of the 2D single quasicrystals: ${\mathrm{Al}}_{65}$${\mathrm{Ni}}_{20}$${\mathrm{Co}}_{15}$ and ${\mathrm{Al}}_{62}$${\mathrm{Si}}_3$${\mathrm{Cu}}_{20}$${\mathrm{Co}}_{15}$

The anisotropic thermal conductivity of ${\mathrm{Al}}_{65}$ ${\mathrm{Ni}}_{20}$ ${\mathrm{Co}}_{15}$ and ${\mathrm{Al}}_{62}$ ${\mathrm{Si}}_3$ ${\mathrm{Cu}}_{20}$ ${\mathrm{Co}}_{15}$ single quasicrystals has been measured. While a nearly isotropic phonon contribution was observed, the electronic thermal conductivity is almost completely suppressed in the quasicrystalline plane in contrast to the periodic direction where the materials behave like the usual 3D alloy except for a markedly lower electronic contribution.