FQHE中电子的拓扑关联和费米子反对称破缺
Topological correlations and breaking of fermionic antisymmetry of electrons in FQHE
摘要：
应用路径积分量子化方法中的非定域性条件，详细讨论了垂直强磁场作用下二维荷电系统量子霍尔态中的高度非定域粒子间关联，并通过Monte-Carlo Metropolis模拟进行了验证，结果与小模型中库仑相互作用的精确对角化和实验数据完全一致.以这种方式，在最低朗道水平的细化填充率层次结构充分解释了实验收集的功能，为ECOHE在填充率预测的传统复合费米子模型，以及为那些超出复合费米子模型，但也在实验中可见。利用系统拓扑方法给出了不同关联态的试探波函数，揭示了不同关联态的对称性随填充分数的变化规律。违反费米反对称的2D电子证明了一些填充率相关的具体相关性在ECOHE。
英文摘要：
Highly nonlocal interparticle correlations in quantum Hall states of 2D charged system exposed to the perpendicular strong magnetic field are detailed by application of the commensurability condition upon path-integral quantization approach and examined by Monte-Carlo Metropolis simulations in perfect consistence with exact diagonalization of the Coulomb interaction in small models and with experimental data. In this way refined filling rate hierarchy in the lowest Landau level fully explains the experimentally collected features for FQHE at filling ratios predicted by the conventional composite fermion model as well as for those beyond the composite fermion model but also visible in the experiment. The trial wave functions for FQHE states are proposed using a systematic topological method revealing the different symmetry for different correlated states depending on filling fraction. A violation of fermionic antisymmetry for 2D electrons is evidenced for some filling rates related to specific correlations in FQHE.
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