2 problems
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Stability conjecture for localized domain walls under band bending
Let a Hubbard model have a localized domain wall structure, and consider the band-bending perturbation . The variational analysis compares the energy shifts of domai…
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Stability conjecture for ferromagnetism in Hubbard models with nearly-flat bands
Let a Hubbard model be obtained by adding a small perturbation to the hopping Hamiltonian of a flat-band model, so that its lowest single-electron band is slightly dispersive, and…