论文标题
莫特和昆多晶格物理学之间的能量尺度级联和对应关系
Energy-scale cascade and correspondence between Mott and Kondo lattice physics
论文作者
论文摘要
我们提出了Mott物理学与Kondo晶格物理学之间的能量尺度对应关系，并构建了其相关电子的暂定相图，并具有两个特征能量尺度$ω^*$和$ω$的相关电子和$ω$，并具有较低的远距离连贯性和较低的能量范围的较低范围的范围，并在本地范围的范围较低的边界和较低的光谱范围内相应地相应地相应地。在两者之间，存在一个跨界区域，具有紧急但受阻的准粒子激发。我们认为，两个单独的能量尺度的存在是晶格上相关电子的通用特性，并反映了准粒子动力学的内在两阶段过程，以构建晶格相干性。对于哈伯德模型，它们对应于色散上的扭结和瀑布结构，而对于周期性的安德森模型，它们与间接和直接的杂交差距相关。我们的工作揭示了Mott和Kondo晶格物理学之间的密切联系，并为研究多体系统提供了基本要素。
We propose an energy-scale correspondence between the Mott physics and the Kondo lattice physics and construct a tentative phase diagram of their correlated electrons with two characteristic energy scales $ω^*$ and $Ω$ marking the upper boundary of a low-energy regime with well-developed long-range coherence and the lower boundary of localized spectral weight in the energy space, respectively. In between, there exists a crossover region with emergent but damped quasiparticle excitations. We argue that the presence of two separate energy scales is a generic property of correlated electrons on a lattice and reflects an intrinsic two-stage process of the quasiparticle dynamics to build up the lattice coherence. For the Hubbard model, they correspond to the kink and waterfall structures on the dispersion, while for the periodic Anderson model, they are associated with the indirect and direct hybridization gaps. Our work reveals a deep connection between the Mott and Kondo lattice physics and provides a basic ingredient for the study of many-body systems.
