Model Wave Functions for the Collective Modes and the Magnetoroton Theory of the Fractional Quantum Hall Effect
Model Wave Functions for the Collective Modes and the Magnetoroton Theory of the Fractional Quantum Hall Effect
复制标题
DOI：
10.1103/physrevlett.108.256807
复制
发表时间：
2012-06-19
影响因子：
8.6
通讯作者：
Haldane, F. D. M.
中科院分区：
文献类型：
--
作者：
Yang, Bo;Hu, Zi-Xiang;Haldane, F. D. M.
我们构造了分数量子霍尔系统集体模的模型波函数。的波函数表示的对称多项式的特征在于由一个根分区，定义了一个“压缩”的基础，并显示出良好的协议与精确的对角化结果有限系统。在长波长的限制，我们证明了模型的波函数是相同的预测的单模近似，导致有趣的解释集体模式的基态导向中心度规的角度来看。
We construct model wave functions for the collective modes of fractional quantum Hall systems. The wave functions are expressed in terms of symmetric polynomials characterized by a root partition that defines a "squeezed" basis, and show excellent agreement with exact diagonalization results for finite systems. In the long wavelength limit, we prove that the model wave functions are identical to those predicted by the single-mode approximation, leading to intriguing interpretations of the collective modes from the perspective of the ground-state guiding-center metric.