We show the low-lying excitations at filling factor $\nu =n+1/3$ with realistic interactions can be understood as quantum fluids with “Gaffnian quasiholes” as the proper elementary degrees of freedom. Each Laughlin quasihole can thus be understood as a bound state of two Gaffnian quasiholes, which in the lowest Landau level (LLL) behaves like “partons” with “asymptotic freedom” mediated by neutral excitations acting as “gluons.” Near the experimentally observed nematic FQH phase in higher LLs, quasiholes become weakly bound and can fractionalize with rich dynamical properties. By studying the effective interactions between quasiholes, we predict a finite temperature phase transition of the Laughlin quasiholes even when the Laughlin ground state remains incompressible, and derive relevant experimental conditions for its possible observations.

中文翻译：

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ν=n+1/3分数量子霍尔态下任意子的分数化和动力学及其实验特征

我们显示了填充因子的低位激发 $\nu =n+1/3$具有真实相互作用的量子流体可以理解为具有“加夫尼准孔”作为适当基本自由度的量子流体。因此，每个 Laughlin 准空穴可以理解为两个 Gaffnian 准空穴的束缚态，在最低朗道能级 (LLL) 中，其行为类似于“部分子”，具有“渐近自由”，由充当“胶子”的中性激发介导。在较高 LL 中实验观察到的向列 FQH 相附近，准孔变得弱结合并且可以分馏具有丰富的动力学特性。通过研究准孔之间的有效相互作用，即使劳克林基态保持不可压缩，我们也预测了劳克林准孔的有限温度相变，并为其可能的观测推导了相关的实验条件。