关于Holstein-哈伯德模型的严格结果
Rigorous results concerning the Holstein--Hubbard model
摘要：
Holstein模型已经被广泛接受为包括电子与声子相互作用的模型;对该模型的基态的分析在二十年前完成。然而，得到的结果没有完全考虑排斥库仑相互作用。最近的进展使得严格地处理这种相互作用成为可能，在本文中，我们研究了具有排斥库仑相互作用的Holstein-哈伯德模型。研究了该模型的基态性质，特别是证明了该模型的哈密顿量的基态对于偶联晶格上的偶数电子是唯一的.此外，我们提供了一个严格的上限电荷磁化率。
英文摘要：
The Holstein model has been widely 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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