A natural, “perturbative”, problem in the modelization of the fractional quantum Hall effect is to minimize a classical energy functional within a variational set based on Laughlin’s wave-function. We prove that, for small enough pair interactions, and asymptotically for large particle numbers, a minimizer can always be looked for in the particular form of uncorrelated quasi-holes superimposed to Laughlin’s wave-function.

中文翻译：

---

Laughlin 相对长程相互作用的稳定性

分数量子霍尔效应建模中的一个自然“微扰”问题是在基于劳克林波函数的变分集中最小化经典能量泛函。我们证明，对于足够小的对相互作用，并且对于大粒子数渐近，总是可以在叠加到劳克林波函数的不相关准空穴的特定形式中寻找极小值。