Effective edge state dynamics in the fractional quantum Hall effect
Effective edge state dynamics in the fractional quantum Hall effect
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分数量子霍尔效应中的有效边缘态动力学
DOI：
10.1103/physrevb.98.155321
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发表时间：
2018
影响因子：
3.7
通讯作者：
S. Simon
中科院分区：
文献类型：
--
作者：
Richard L. Fern;R. Bondesan;S. Simon
我们考虑的行为量子霍尔边缘远离Luttinger液体不动点，发生在低能量，大系统的限制。利用量子霍尔波函数和共形场论之间的密切联系，我们从一般原理构造有效的哈密顿量，然后通过考虑体对称性对边缘性质的影响来约束它们的形式。在检查散装相互作用对这个边缘的影响，我们发现显着的简化，这些有效的理论，允许一个非常准确的描述的低能量物理量子霍尔边缘相对远离Luttinger液体固定点，并适用于小系统和更高的能量。
We consider the behavior of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low-energy, large-system limit. Using the close links between quantum Hall wave functions and conformal field theories, we construct effective Hamiltonians from general principles and then constrain their forms by considering the effect of bulk symmetries on the properties of the edge. In examining the effect of bulk interactions on this edge, we find remarkable simplifications to these effective theories which allow for a very accurate description of the low-energy physics of quantum Hall edges relatively far away from the Luttinger liquid fixed point, and which apply to small systems and higher energies.
非线性 Luttinger 液体：第四 Painlevé 超越项格林函数的精确结果
影响因子：
5.5
作者：
Price T
通讯作者：
Price T