TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom.
Phys Rev Lett. 2010 Aug 27;105(9):096802. doi: 10.1103/PhysRevLett.105.096802.
We report on exact diagonalization studies for fully spin polarized 5/2 fractional quantum Hall effect, incorporating Landau-level mixing through the Bishara-Nayak effective interaction. We find that there is an experimentally accessible region in the phase diagram where the Pfaffian model accurately describes not only the ground state but also the neutral and charged excitations. These results are consistent with the observed persistence of the 5/2 Hall effect down to very low magnetic fields; they are also relevant to the experimental attempts to detect non-Abelian braid statistics.
我们报告了完全自旋极化的 5/2 分数量子霍尔效应的精确对角化研究，通过 Bishara-Nayak 有效相互作用纳入了 Landau 能级混合。我们发现，在相图中有一个实验可及的区域，其中 Pfaffian 模型不仅准确地描述了基态，而且还描述了中性和带电激发态。这些结果与观察到的 5/2 霍尔效应一直持续到非常低的磁场相一致；它们也与实验尝试检测非阿贝尔辫子统计有关。
