Topological and Transport Dynamics of the Golden Mean Vogel Array: A Tight-Binding Analysis

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22760119
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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preprint

Topological and Transport Dynamics of the Golden Mean Vogel Array: A Tight-Binding Analysis

Yaron Admon Hefetz
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

Topological and Transport Dynamics of the Golden Mean Vogel Array: A Tight-Binding Analysis

Yaron Admon Hefetz
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
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Quasicrystal Structures and Properties
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Topological and Transport Dynamics of the Golden Mean Vogel Array: A Tight-Binding Analysis — Yaron Admon Hefetz · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS