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In this article we study the energy level spectrum of fractals which have block-hierarchical structures. We develop a method to study the spectral properties in terms of linearization of spectral… Click to show full abstract
In this article we study the energy level spectrum of fractals which have block-hierarchical structures. We develop a method to study the spectral properties in terms of linearization of spectral decimation procedure and verify it numerically. Our approach provides qualitative explanations for various spectral properties of self-similar graphs within the theory of dynamical systems, including power-law level-spacing distribution, smooth density of states and effective chaotic regime.
Keywords:
decimation fractals;
linearized spectral;
spectral decimation;
decimation
Journal Title: Physical Review B
Year Published: 2020
Link to full text (if available)
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Journal Title: Physical Review B
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!