Abstract
The Holstein model has widely been accepted as a model comprising electrons interacting with phonons; analysis of this model’s ground states was accomplished two decades ago. However, the results were obtained without completely taking repulsive Coulomb interactions into account. Recent progress has made it possible to treat such interactions rigorously; in this paper, we study the Holstein–Hubbard model with repulsive Coulomb interactions. The ground-state properties of the model are investigated; in particular, the ground state of the Hamiltonian is proven to be unique for an even number of electrons on a bipartite connected lattice. In addition, we provide a rigorous upper bound on charge susceptibility.
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Communicated by Vieri Mastropietro.
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Miyao, T. Rigorous Results Concerning the Holstein–Hubbard Model. Ann. Henri Poincaré 18, 193–232 (2017). https://doi.org/10.1007/s00023-016-0506-5
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DOI: https://doi.org/10.1007/s00023-016-0506-5