Maier T A, Poilblanc D, Scalapino D J
Center for Nanophase Materials Sciences and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6494, USA.
Phys Rev Lett. 2008 Jun 13;100(23):237001. doi: 10.1103/PhysRevLett.100.237001. Epub 2008 Jun 10.
The question of whether one should speak of a "pairing glue" in the Hubbard and t-J models is basically a question about the dynamics of the pairing interaction. If the dynamics of the pairing interaction arises from virtual states, whose energies correspond to the Mott gap, and give rise to the exchange coupling J, the interaction is instantaneous on the relative time scales of interest. In this case, while one might speak of an "instantaneous glue," this interaction differs from the traditional picture of a retarded pairing interaction. However, as we will show, the dominant contribution to the pairing interaction for both of these models arises from energies reflecting the spectrum seen in the dynamic spin susceptibility. In this case, the basic interaction is retarded, and one speaks of a spin-fluctuation glue which mediates the d-wave pairing.
在哈伯德模型和t-J模型中是否应该提及“配对胶水”这一问题，本质上是关于配对相互作用动力学的问题。如果配对相互作用的动力学源于虚拟态，其能量对应于莫特能隙，并产生交换耦合J，那么在感兴趣的相对时间尺度上，这种相互作用是瞬时的。在这种情况下，虽然人们可能会提及“瞬时胶水”，但这种相互作用与传统的延迟配对相互作用图景不同。然而，正如我们将展示的，这两个模型中配对相互作用的主要贡献都来自反映动态自旋磁化率中所观察到的能谱的能量。在这种情况下，基本相互作用是延迟的，人们会提及介导d波配对的自旋涨落胶水。
