Entanglement spectroscopy of chiral edge modes in the quantum Hall effect
Entanglement spectroscopy of chiral edge modes in the quantum Hall effect
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DOI：
10.1103/physrevb.101.115136
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发表时间：
2020-03-19
影响因子：
3.7
通讯作者：
Stephan, Jean-Marie
中科院分区：
文献类型：
--
作者：
Estienne, Benoit;Stephan, Jean-Marie
我们研究了存在边缘的整数量子霍尔效应中的纠缠熵，直接从微观二维波函数进行了精确的计算。边缘的贡献被证明与手性狄拉克费米子的贡献完全一致，并且这种对应关系适用于任意区间的集合。特别地，对于单个区间，当左右中心电荷c + (c) / bar = 1时，恢复了著名的共形公式。使用蒙特卡罗技术，我们确定这种行为持续存在于强相互作用的系统，如劳克林液体。这说明了纠缠熵不仅能够检测无质量自由度的存在，而且能够精确定位它们在真实空间中的位置，并阐明它们的性质。
We investigate the entanglement entropy in the integer quantum Hall effect in the presence of an edge, performing an exact calculation directly from the microscopic two-dimensional wave function. The edge contribution is shown to coincide exactly with that of a chiral Dirac fermion, and this correspondence holds for an arbitrary collection of intervals. In particular, for a single interval, the celebrated conformal formula is recovered with left and right central charges c + (c) over bar = 1. Using Monte Carlo techniques, we establish that this behavior persists for strongly interacting systems such as Laughlin liquids. This illustrates how entanglement entropy is not only capable of detecting the presence of massless degrees of freedom, but also of pinpointing their position in real space, as well as elucidating their nature.