Research Data supporting "Large-Scale Tight-Binding Hamiltonians of the Eightfold Quasicrystalline Potential (8QC)"

This dataset contains the Tight-binding (TB) Hamiltonians describing the lowest band of the eightfold quasicrystalline potential. The TB Hamiltonians were constructed using localised Wannier functions generated using an extension of the methods described in [1], whereby the finite-difference methods was replaced with the sinc discrete variable representation to alleviate the memory usage of the Wannier functions and increase the maximum system size to around 12000 sites. The TB Hamiltonians describe a circular patch of diameter 70 λ. The lattice depths were generated in steps of 0.125 Er. The parameters used for this dataset were a real-space grid spacing δx = 0.1λ, and a cutoff radius for generating the Wannier functions of R = 4λ. Please refer to Readme file for more details of file collection and organisation. [1] E. Gottlob and U. Schneider, Hubbard models for quasicrystalline potentials, Phys. Rev. B 107, 144202.