论文标题
FQHE中电子的拓扑相关性和破坏电子对称性
Topological correlations and breaking of fermionic antisymmetry of electrons in FQHE
论文作者
论文摘要
2D带电系统的量子大厅状态中高度非局部的颗粒间相关性通过在路径量化方法上应用可敏化性条件来详细介绍，并通过蒙特卡洛大都会模拟在良好的直接一致性中与库尔伯特相互作用在小型模型和实验性数据中的核心互动中的精确二线化中进行了检查。以这种方式，在最低的兰道级别中，完善的填充速率层次结构完全解释了FQHE在常规复合费米模型预测的填充比以及复合费用模型以外的填充率下的实验收集的特征，但在实验中也可见。使用系统拓扑方法提出了FQHE状态的试验波函数，该方法揭示了不同相关状态的不同对称性，具体取决于填充分数。对于与FQHE特定相关性有关的一些填充率，证明了违反2D电子的费米尼反对称性。
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.
