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  "slug": "engineering-macroscopic-quantum-coherence-in-disordered-moir-metamaterials",
  "title": "Engineering Macroscopic Quantum Coherence in Disordered Moiré Metamaterials",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The study of moiré materials is defined by a central paradox: the experimental observation of robust, macroscopic quantum phases, such as superconductivity and topological insulation, in devices known to possess significant atomistic disorder. This work bridges this “disorder-topology gap” by establishing quantum percolation as the fundamental mechanism for the emergence of global coherence. We develop a Stochastic Time-Dependent Ginzburg-Landau (TDGL) model that incorporates a physically realistic, multi-modal disorder potential. This potential includes both a smooth, spatially correlated twist-angle field, representing mesoscopic strain domains, and a sparse field of sharp pinning sites, representing atomic vacancies. The simulation, performed on a high-resolution 128x128 lattice, is analyzed using an objective Hoshen-Kopelman cluster-finding algorithm. Our results quantitatively map the entire transition, from the initial nucleation of isolated superconducting “islands” in magic-angle regions to their proximity-driven growth and coalescence. [...]",
  "abstract_markdown": "The study of moiré materials is defined by a central paradox: the experimental observation of robust, macroscopic quantum phases, such as superconductivity and topological insulation, in devices known to possess significant atomistic disorder. This work bridges this “disorder-topology gap” by establishing quantum percolation as the fundamental mechanism for the emergence of global coherence. We develop a Stochastic Time-Dependent Ginzburg-Landau (TDGL) model that incorporates a physically realistic, multi-modal disorder potential. This potential includes both a smooth, spatially correlated twist-angle field, representing mesoscopic strain domains, and a sparse field of sharp pinning sites, representing atomic vacancies. The simulation, performed on a high-resolution 128x128 lattice, is analyzed using an objective Hoshen-Kopelman cluster-finding algorithm. Our results quantitatively map the entire transition, from the initial nucleation of isolated superconducting “islands” in magic-angle regions to their proximity-driven growth and coalescence. [...]",
  "date": "2025-12-01",
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    "titles": [
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        "description": "The study of moiré materials is defined by a central paradox: the experimental observation of robust, macroscopic quantum phases, such as superconductivity and topological insulation, in devices known to possess significant atomistic disorder. This work bridges this “disorder-topology gap” by establishing quantum percolation as the fundamental mechanism for the emergence of global coherence. We develop a Stochastic Time-Dependent Ginzburg-Landau (TDGL) model that incorporates a physically realistic, multi-modal disorder potential. This potential includes both a smooth, spatially correlated twist-angle field, representing mesoscopic strain domains, and a sparse field of sharp pinning sites, representing atomic vacancies. The simulation, performed on a high-resolution 128x128 lattice, is analyzed using an objective Hoshen-Kopelman cluster-finding algorithm. Our results quantitatively map the entire transition, from the initial nucleation of isolated superconducting “islands” in magic-angle regions to their proximity-driven growth and coalescence. [...]",
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