论文标题

Ginzburg-Landau的微观推导层级量子厅的理论

Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states

论文作者

Tournois, Y., Hermanns, M., Hansson, T. H.

论文摘要

我们为阿贝尔量子霍尔层次结构的大而重要的部分提出了一个金茨堡 - 兰道理论,包括明显的观察到的Ja那教序列。通过广义的“通量附件”结构,我们将金茨堡 - 兰道 - 切尔纳 - 塞蒙斯复合玻色子理论扩展到了Quasielectron和Quasihole凝结获得的状态,并将相应的波函数表达为在形状场理论中的相关因子。这产生了根据原始电子场进入这些相关因子的相对论标量字段的精确识别。

We propose a Ginzburg-Landau theory for a large and important part of the abelian quantum Hall hierarchy, including the prominently observed Jain sequences. By a generalized "flux attachment" construction we extend the Ginzburg-Landau-Chern-Simons composite boson theory to states obtained by both quasielectron and quasihole condensation, and express the corresponding wave functions as correlators in conformal field theories. This yields a precise identification of the relativistic scalar fields entering these correlators in terms of the original electron field.

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