Do quasicrystals follow Wiedemann-Franz's law?

Abstract

In this work we present a theoretical study on the thermal and electrical conductivities of quasicrystals. By considering a realistic model for the spectral conductivity we derive closed analytical expressions for the transport coefficients which allow us to study the temperature dependence of the Lorenz ratio L( T) = κ_(e)(T)/ Tσ( T) at different temperature regimes. We conclude that quasicrystals closely follow Wiedemann- Franz's law over a wide temperature range.