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| Autore principale: | |
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| Natura: | Recurso digital |
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| Pubblicazione: |
Zenodo
2025
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| Soggetti: | |
| Accesso online: | https://doi.org/10.5281/zenodo.17764992 |
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Sommario:
- <p>The emergence of superconductivity in Twisted Bilayer Graphene (TBG) at the "Magic Angle" <span><span><span><span><span>θ</span><span>≈</span></span><span><span>1.</span><span>1<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span></span></span></span></span> is conventionally attributed to the flattening of electronic bands. In this work, we provide a fundamental topological derivation of this angle based on the <strong>Static-Dynamic Recursive Information Space (SDRIS)</strong> framework. We model electrical resistance not as particle scattering, but as the commutator norm of the recursive operators acting on the charge carrier and the lattice background. We prove that superconductivity arises when the Moiré superlattice period becomes commensurable with the underlying p-adic metric of the carbon information graph. Specifically, we derive the angle analytically from the resonance condition of the second recursive shell (<span><span><span><span><span>k</span><span>=</span></span><span><span>2</span></span></span></span></span>) in a <span><span><span><span><span>p</span><span>=</span></span><span><span>3</span></span></span></span></span> (hexagonal) ultrametric space, yielding <span><span><span><span><span>θ</span><span>≈</span></span><span><span>1.0</span><span>8<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span><span>−</span></span><span><span>1.1</span><span>2<span><span><span><span><span><span><span>∘</span></span></span></span></span></span></span></span></span></span></span></span>. This suggests that high-<span><span><span><span><span><span>T</span><span><span><span><span><span><span><span>c</span></span></span></span><span></span></span></span></span></span></span></span></span></span> superconductivity can be engineered in non-Archimedean quasicrystals by tuning geometric parameters to satisfy recursive phase-locking conditions.</p>