Projective symmetry in hexagonal lattices with rational magnetic flux enforces novel non-zero-energy Dirac touchings at pi flux, constrains zero-energy Dirac points for general fluxes, and imposes distinct Chern number rules on gapped bands and multiplets.
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In the 3D Hofstadter-Hubbard model, superconductivity occurs for arbitrarily weak attraction below the critical flux for Weyl points with BCS-like gap scaling, but requires finite interaction strength above it.
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Topological constraints on the electronic band structure of hexagonal lattice in a magnetic field
Projective symmetry in hexagonal lattices with rational magnetic flux enforces novel non-zero-energy Dirac touchings at pi flux, constrains zero-energy Dirac points for general fluxes, and imposes distinct Chern number rules on gapped bands and multiplets.
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Superconducting properties of the three-dimensional Hofstadter-Hubbard model below the critical flux for Weyl points
In the 3D Hofstadter-Hubbard model, superconductivity occurs for arbitrarily weak attraction below the critical flux for Weyl points with BCS-like gap scaling, but requires finite interaction strength above it.
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