Topological and Transport Dynamics of the Golden Mean Vogel Array: A Tight-Binding Analysis
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Abstract
Building upon the continuous momentum space observations of metallic mean Vogel arrays, this report investigates the quantum mechanical properties of the Golden Ratio (m=1) substrate. Using a tight-binding Hamiltonian model with exponentially decaying hopping integrals, we analyze the energy spectrum, state localization, defect tolerance, and quantum diffusion dynamics of this deterministic aperiodic lattice.
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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-29
Authors: Yaron Admon Hefetz