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arXiv 1201.2235cond-mat.mes-hall
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傅里叶变换扫描隧道光谱揭示朗道能级波函数的鲁棒节结结构

Robust Nodal Structure of Landau Level Wave Functions Revealed by Fourier Transform Scanning Tunneling Spectroscopy

K. Hashimoto, T. Champel, S. Florens, C. Sohrmann, J. Wiebe, Y. Hirayama, R. A. Roemer, R. Wiesendanger, M. Morgenstern

摘要:

利用扫描隧道谱研究了二维电子系统在磁场中的实空间局域态密度(LDOS),特别是在高朗道能级(LL)范围内。通过傅立叶变换的LDOS,我们找到了一组n个径向极小值在固定的动量为第n LL。最小值的动量只与磁长的倒数有关。通过与解析理论和数值模拟的比较,我们将最小值归因于量子回旋轨道的节点,这些节点在傅立叶表示中与由于无序而引起的随机引导中心运动解耦。LL波函数的节点结构的这种鲁棒性应被视为量子霍尔态的一个关键特性。

英文摘要:

Scanning tunneling spectroscopy is used to study the real-space local density of states (LDOS) of a two-dimensional electron system in magnetic field, in particular within higher Landau levels (LL). By Fourier transforming the LDOS, we find a set of n radial minima at fixed momenta for the nth LL. The momenta of the minima depend only on the inverse magnetic length. By comparison with analytical theory and numerical simulations, we attribute the minima to the nodes of the quantum cyclotron orbits, which decouple in Fourier representation from the random guiding center motion due to the disorder. This robustness of the nodal structure of LL wave functions should be viewed as a key property of quantum Hall states.

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