第二朗道能级的拓扑纠缠熵
Topological entanglement entropy in the second Landau level
摘要：
利用直接对角化方法研究了一个实际量子Hall系统在第二朗道能级下不可压缩态的纠缠熵。次优势项的面积定律，拓扑纠缠熵，这被认为是携带信息的拓扑秩序的基态，填充因子nu = 12/5和nu = 7/3提取。虽然很难对nu = 12/5做出强有力的结论，但nu = 7/3态似乎与k=4的Read-Rezayi态的拓扑纠缠熵非常一致。本文还系统地研究了有限厚度修正对直接对角化库仑势的影响。
英文摘要：
The entanglement entropy of the incompressible states of a realistic quantum Hall system in the second Landau level are studied by direct diagonalization. The subdominant term to the area law, the topological entanglement entropy, which is believed to carry information about topologic order in the ground state, was extracted for filling factors nu = 12/5 and nu = 7/3. While it is difficult to make strong conclusions about nu = 12/5, the nu = 7/3 state appears to be very consistent with the topological entanglement entropy for the k=4 Read-Rezayi state. The effect of finite thickness corrections to the Coulomb potential used in the direct diagonalization are also systematically studied.
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