In this work, we calculate the transmittance spectrum of a one-dimensional quasiperiodic photonic crystal composed of layers of a high-temperature superconductor HgBa 2 Ca 2 Cu 3 O 8 +δ and a GaAs semiconductor, where the layers are arranged according to the Mephisto-Waltz sequence. The transmittance spectrum is calculated using the transfer matrix method. At the same time, pressure describes the optical response of the materials and the temperature-dependent dielectric function, including the two-fluid model for high-temperature superconductors. The results show that increasing the order of the Mephisto-Waltz sequence leads to a greater splitting of the transmittance peak, with the emergence of new forbidden regions for light propagation. Pressure is the main mechanism for tuning the localized high-transmittance peaks and the cutoff frequency to higher frequencies in the terahertz regime. Conversely, increased temperature causes small shifts in the transmittance spectrum toward lower frequencies without altering the number of peaks or the forbidden regions of light propagation. Finally, we report that spectral tuning in the heterostructure is determined by the increased thickness of the semiconductor layer, as a non-linear redshift of the resonant modes is observed; while increased thickness of the superconducting layer favors the intensity of the localized modes, keeping their spectral positions virtually unchanged.
Segovia-Chaves et al. (Fri,) studied this question.