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Exact results for systems of electrons in the fractional quantum Hall regime II

机译:分数量子霍尔体系II中电子系统的精确结果

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摘要

In a previous work [C. Ciftja, Physica B 404 (2009) 227] we reported the exact calculation of energies for the fractional quantum Hall Laughlin state at filling factor v = 1/3 for systems with up to N = 4 electrons in a disk geometry. The purpose of this brief extension of the earlier work is to report similar exact results for the other Laughlin state at filling factor v = 1/5. We use the same method of orthogonal Jacobi variables adopted in the earlier work.
机译:在先前的工作中[C. [Ciftja,Physica B 404(2009)227]报告了在盘几何中最多N = 4个电子的系统中,填充因子v = 1/3时分数量子霍尔Laughlin状态的能量的精确计算。对先前工作进行此简短扩展的目的是报告在填充因子v = 1/5时其他Laughlin状态的相似精确结果。我们使用早期工作中采用的正交Jacobi变量的相同方法。

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