论文标题
三角形晶格近神山模型中的Lifshitz过渡
Lifshitz Transition in Triangular Lattice Kondo-Heisenberg Model
论文作者
论文摘要
通过在三角晶格繁重的特性化合物上进行的实验进展的动机，我们研究了三角晶格上近藤 - 森伯格模型的LIFSHITZ过渡和扫描隧道显微镜（STM）光谱。在繁重的费米液态状态下，引入的海森贝格防铁磁相互作用（$ j_h $）在最近的neighbour电子跳跃中导致了两次Lifshitz过渡，但下一个最新的山脉孔跳舞，最接近的neighbour孔跳舞，但与下一个nearest-nearest-nearest-neareSt-neareSty hop hop hoping hoping complate hoping comping actime hoping complate。在$ j_h $的驱动下，三角晶格上的Lifshitz过渡都与Square Grattice的案例相反。此外，STM Spectra显示了丰富的线形，它受Kondo耦合$ j_ {k} $，$ j_ {h} $的影响以及隧道振幅$ t_ {f} $ ves $ t_ {c {c} $的比率。我们的工作提供了一种可能的方案，以了解繁重的弗米表面拓扑结构和量子临界点。
Motivated by recent experimental progress on triangular lattice heavy-fermion compounds, we investigate possible Lifshitz transitions and the scanning tunnel microscope (STM) spectra of the Kondo-Heisenberg model on the triangular lattice. In the heavy Fermi liquid state, the introduced Heisenberg antiferromagnetic interaction ($J_H$) results in the twice Lifshitz transition at the case of the nearest-neighbour electron hopping but with next-nearest-neighbour hole hopping and the case of the nearest-neighbour hole hopping but with next-nearest-neighbour electron hopping, respectively. Driven by $J_H$, the Lifshitz transitions on triangular lattice are all continuous in contrast to the case in square lattice. Furthermore, the STM spectra shows rich line-shape which is influenced by the Kondo coupling $J_{K}$, $J_{H}$ and the ratio of the tunneling amplitude $t_{f}$ versus $t_{c}$. Our work provides a possible scenario to understand the Fermi surface topology and the quantum critical point in heavy-fermion compounds.
