Ferromagnetism and doublon localization in a Wannier-Hubbard chain

We derive a ``Wannier-Hubbard'' model consisting of an array overlapping atomic orbitals interacting via local Coulomb interaction. Transforming to orthogonal Wannier basis set, the resulting Hamiltonian displays long-range hopping and interactions, with new terms such as correlated ferromagnetic direct exchange, among others. numerically study one-dimensional version at half-filling using density matrix renormalization group method, unveiling rich phase diagram function interaction $U$ overlap $s$ metallic phases separated by ferrimagnetic region. Our results indicate path toward understanding emergent under pressure beyond standard Hamiltonians.