Specific heat of magnetic and semiconductor quasiperiodic structures

We have performed a theoretical study of the specific heat C(T), as a function of temperature, of magnetic and semiconductor quasiperiodic structures. The quasiperiodic structures considered here are constructed according to the Fibonacci, double-period and Thue-Morse quasiperiodic sequences. On one hand, we assume the magnetic structures composed of ferromagnetic films, each one described by the Heisenberg model. On the other hand, we consider semiconductor structures composed of slabs of AlN and GaN, which are characterized by the dielectric functions εA(ω) and εB(ω), and have thicknesses da and db, respectively. Our results illustrate the effects of disorder on the oscillatory behavior of the specific heat in the low temperature regime.