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反常低的非常规分数量子霍尔复合费米子态的磁振子能。

Anomalously low magnetoroton energies of the unconventional fractional quantum Hall States of composite fermions.

机构信息

Department of Theoretical Physics, Indian Association for the Cultivation of Science, Kolkata 700032, India.

出版信息

Phys Rev Lett. 2015 Apr 17;114(15):156802. doi: 10.1103/PhysRevLett.114.156802. Epub 2015 Apr 16.

Abstract

We show a generic formation of the primary magnetorotons in the collective modes of the observed "unconventional" fractional quantum Hall effect states of the composite fermions at the filling factors 4/11, 4/13, 5/13, 5/17, and 3/8 at very low wave vectors with anomalously low energies which do not have any analog to the conventional fractional quantum Hall states. Rather slow decay of the oscillations of the pair-correlation functions in these states is responsible for the low-energy magnetorotons. This is a manifestation of the distinct topology predicted previously for these fractional quantum Hall effect states. Experimental consequences of our theory are also discussed.

摘要

我们展示了在观察到的复合费米子的填充因子为 4/11、4/13、5/13、5/17 和 3/8 的“非常规”分数量子霍尔效应状态的集体模式中,原始磁振子的一般形成,这些状态在非常低的波矢下具有异常低能量的集体模式,与传统的分数量子霍尔状态没有任何类似之处。这些状态中对关联函数的振荡的缓慢衰减是低能磁振子的原因。这是之前预测的这些分数量子霍尔效应状态的独特拓扑的表现。我们的理论也讨论了实验结果。

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