Quasicrystals, distinguished by their non-periodic but ordered atomic structures and unique rotational symmetries, have attracted increasing attention in the field of advanced materials. Unlike conventional crystals, quasicrystals exhibit forbidden symmetries—such as fivefold or tenfold rotation—that result in novel electronic and optical behaviors. This paper explores the semiconducting characteristics of quasicrystalline materials and evaluates their potential use in photonic devices. By investigating the electronic band structures and optical properties arising from quasiperiodicity, we demonstrate how these materials can be engineered for enhanced light-matter interactions, photon localization, and spectral filtering. The integration of quasicrystalline semiconductors into photonic circuits, sensors, and solar cells reveals promising pathways for next-generation optoelectronic technologies.

Quasicrystals, semiconducting materials, photonic devices, aperiodic symmetry, band structure, light localization, optical filters, photon confinement, advanced materials, non-periodic lattices

Shechtman, D., et al. (1984). "Metallic phase with long-range orientational order and no translational symmetry." Physical Review Letters, 53(20), 1951–1953.

Steurer, W., & Deloudi, S. (2009). Crystallography of Quasicrystals: Concepts, Methods and Structures. Springer.

Zoorob, M. E., et al. (2000). "Complete photonic bandgaps in 12-fold symmetric quasicrystals." Nature, 404(6779), 740–743.

Lifshitz, R. (2003). "Quasicrystals: A matter of definition." Foundations of Physics, 33(12), 1703–1711.

Dal Negro, L., et al. (2003). "Light transport through the band-edge states of Fibonacci quasicrystals." Applied Physics Letters, 82(4), 518–520.

Senechal, M. (1995). Quasicrystals and Geometry. Cambridge University Press.

Tang, Y., et al. (2019). "Quasiperiodic photonic crystals: Design, fabrication, and applications." Laser & Photonics Reviews, 13(6), 1800344.

Koshino, M., & Aoki, H. (2006). "Electronic structure and transport in aperiodic crystals." Physica Status Solidi (a), 203(5), 1109–1115.

Chremos, A., & Malescio, G. (2014). "Structure and dynamics of systems with quasicrystalline order." Journal of Physics: Condensed Matter, 26(41), 415104.

Jin, C., et al. (2001). "Two-dimensional Penrose-tiled photonic quasicrystal: Diffraction, bandgap and waveguiding." Applied Physics Letters, 78(17), 2823–2825.