2009/06/03 by Alexander N. Poddubny, A. N. Poddubny, L. Pilozzi +2 · 118 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Aperiodic graph #Combinatorics #Computer science #Condensed matter physics #Materials science #Mathematics #Nonlinear Optical Materials Studies #Nonlinear optics #Nonlinear system #Optics #Penrose tiling #Photonic Crystals and Applications #Photonic crystal #Photonics #Physics #Quantum mechanics #Quasicrystal #Quasicrystal Structures and Properties #Quasiperiodic function #Reflection (computer programming) #Statistical physics #Theoretical physics #cond-mat.mes-hall #cond-mat.mtrl-sci
paper · pdf · doi:10.1016/j.physe.2010.02.020
published in Physica E Low-dimensional Systems and Nanostructures 42(7), 1871-1895 (Elsevier BV) · 13 pages, 9 figures, submitted to Phys. Rev. B
arxiv created 2009/06/03 · openalex publication_date 2010/02/20 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have theoretically studied propagation of exciton-polaritons in deterministic aperiodic multiple-quantum-well structures, particularly, in the Fibonacci and Thue-Morse chains. The attention is concentrated on the structures tuned to the resonant Bragg condition with two-dimensional quantum-well exciton. The superradiant or photonic-quasicrystal regimes are realized in these structures depending on the number of the wells. The developed theory based on the two-wave approximation allows one to describe analytically the exact transfer-matrix computations for transmittance and reflectance spectra in the whole frequency range except for a narrow region near the exciton resonance. In this region the optical spectra and the exciton-polariton dispersion demonstrate scaling invariance and self-similarity which can be interpreted in terms of the ``band-edge'' cycle of the trace map, in the case of Fibonacci structures, and in terms of zero reflection frequencies, in the case of Thue-Morse structures.