标题： Bethe Ansatz 密度泛函理论的成功与失败 显示英文标题

标题： Successes and failures of Bethe Ansatz Density Functional Theory

摘要： 使用局域密度近似（LDA）下的密度泛函理论（DFT）研究了一维费米子系统的响应，并与精确结果进行了比较。结果显示，DFT-LDA能够非常出色地再现Luttinger液体的一些特征性质，即低能粒子-空穴激发的光谱权重消失，以及集体电荷激发的色散关系。另一方面，对于背散射重要的量，该近似甚至在定性上也失败了，即那些对于准确描述输运性质至关重要的量。特别是讨论了单个杂质存在时的Drude权重。 显示英文摘要

摘要： The response of a one-dimensional fermion system is investigated using Density Functional Theory (DFT) within the Local Density Approximation (LDA), and compared with exact results. It is shown that DFT-LDA reproduces surprisingly well some of the characteristic features of the Luttinger liquid, namely the vanishing spectral weight of low energy particle-hole excitations, as well as the dispersion of the collective charge excitations. On the other hand, the approximation fails, even qualitatively, for quantities for which backscattering is important, i.e., those quantities which are crucial for an accurate description of transport. In particular, the Drude weight in the presence of a single impurity is discussed.