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Electronic Spectrum of the Amman-Kramer-Neri Lattice

Electronic spectrum of the Amman-Kramer-Neri (AKN) lattice with “central” decoration is investigated using the tight binding model. Inverse participation ratios, higher moments of the density probabilities, and fractal dimensions of the system are defined. The wave functions are “critical” and are multifractal measures leading to the whole spectrum of the exponents.The results show that the system is in the critical state of a metal-insulator transition.