Title: Spinless Hartree-Fock model of persistent current in rings with single scatterer: Comparison with correlated models Show Chinese title

Title: 无自旋哈特里-福克模型在具有单散射体的环中的持续电流：与关联模型的比较

Abstract: Using the self-consistent Hartree-Fock approximation for spinless electrons at zero temperature, we study the persistent current of the interacting electron gas in a one-dimensional continuous ring containing a single $\delta$ barrier. We calculate the persistent current as a function of the ring circumference, magnetic flux threading the ring, barrier strength, etc. We compare our results with the results of correlated models like the Luttinger liquid model and the Hubbard model solved by means of the renormalization group. A good agreement is found. First, the persistent current decays with the increasing ring circumference ($L$) faster than $L^{-1}$ and eventually like $L^{-\alpha-1}$, where $\alpha>0$ depends only on the electron-electron interaction. Second, the persistent current is a sine-shaped function of magnetic flux. This sine-like dependence and in particular the universal power law $L^{-\alpha-1}$ have sofar been believed to arise only in the correlated many-body models. Observation of these features within the Hartree-Fock model is a surprising result. Show Chinese abstract

Abstract: 使用零温度下自洽的Hartree-Fock近似研究无自旋电子，我们研究了包含单个$\delta$障壁的一维连续环中相互作用电子气体的持续电流。 我们计算了持续电流随环周长、穿过环的磁通量、障壁强度等的变化情况。 我们将结果与如Luttinger液体模型和通过重整化群方法求解的Hubbard模型等相关模型的结果进行比较。 发现有很好的一致性。 首先，持续电流随着环周长（$L$）的增加而衰减得比$L^{-1}$更快，最终像$L^{-\alpha-1}$，其中$\alpha>0$仅取决于电子间相互作用。 其次，持续电流是磁通量的正弦函数。 这种类似正弦的依赖关系以及特别是普遍幂律$L^{-\alpha-1}$一直以来被认为只出现在相关多体模型中。 在Hartree-Fock模型中观察到这些特征是一个令人惊讶的结果。