Introduces spinor pairing orders with half-integer monopole charges from odd Chern number differences between paired Fermi surfaces, shown in tight-binding models with single gap nodes and fractional Mermin-Ho relations.
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Numerical evidence from exact diagonalization supports a foliated non-Abelian Fibonacci phase in 9-layer systems alongside stability of decoupled Laughlin states under interlayer pseudopotential interactions.
Howe duality underlies the super Landau model, relating Landau levels via supermonopole harmonics and yielding matrix coordinates for fuzzy superspheres at arbitrary levels with a determined non-commutative scale.
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Three-dimensional Foliated Fractional Quantum Hall Phases
Numerical evidence from exact diagonalization supports a foliated non-Abelian Fibonacci phase in 9-layer systems alongside stability of decoupled Laughlin states under interlayer pseudopotential interactions.