The origin of high-temperature superconductivity has been widely debated since its discovery. Here, a model based on the interaction between carrier and local potential is proposed to reveal the mechanism. In this model, the potential that is analogous to the lattice point is composed of localized charges, whose vibration mediates the coupling of mobile carriers. A Hamiltonian that describes the vibration, coupling and various interactions among the ordered potentials and carriers is established. By analyzing the Hamiltonian, it is found that the vibration of local potential and the interactions, which are dependent on the carrier density, control the transition temperature. We show that the transition temperature is high if the local potential is composed of electrons and the mobile carrier is hole because of the strong coupling between them. By replacing the local potential with lattice point, the proposed model is equivalent to that in the BCS theory. Therefore, our model may provide a general theoretical description on the superconductivity.

中文翻译：

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高温超导的载流子-电位相互作用

自发现以来，高温超导的起源一直备受争议。在这里，提出了一个基于载体和局部电位相互作用的模型来揭示机制。在该模型中，类似于晶格点的电势由局部电荷组成，其振动介导移动载流子的耦合。建立了描述有序势和载流子之间的振动、耦合和各种相互作用的哈密顿量。通过分析哈密顿量，发现局部电位的振动和依赖于载流子密度的相互作用控制转变温度。我们表明，如果局部电位由电子组成并且移动载流子是空穴，则由于它们之间的强耦合，转变温度很高。通过用格点代替局部势，所提出的模型等效于BCS理论中的模型。因此，我们的模型可以提供关于超导性的一般理论描述。