论文标题
电荷分数以外的Luttinger液体范式：分析考虑
Charge fractionalization beyond the Luttinger liquid paradigm: an analytical consideration
论文作者
论文摘要
在本文中，我们在分析上考虑了具有非线性色散关系的无旋纤维液体的密度演变，其中一个粒子被注入。相互作用是点状的，温度为零。我们获得了一个密度演变的公式，并讨论了它给出的图片以及其背后的物理。与线性光谱相比，我们发现了初始密度驼峰的进一步和更复杂的分数：它分为三个驼峰而不是两个，此外，这三个以复杂的方式改变了它们的形状。我们分析这些现象的机制并计算其主要特征。我们还表明，可以从半经典的角度说明分数化。
In this paper, we consider analytically the density evolution of a spinless Fermi liquid with a nonlinear dispersion relation into which one particle is injected. The interaction is point-like and the temperature is zero. We obtain a formula for the evolution of the density and discuss the picture it gives as well as the physics behind it. Compared to the case of a linear spectrum, we find further and more complex fractionalization of the initial density hump: it splits into three humps instead of two, moreover, all three change their shapes in a complicated manner. We analyze the mechanisms of these phenomena and calculate their main characteristics. We also show that the fractionalization can be illustrated from a semiclassical point of view.
