Wu Yang-Le, Estienne B, Regnault N, Bernevig B Andrei
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
Sorbonne Universités, UPMC University of Paris 06, UMR 7589, LPTHE, F-75005, Paris, France and CNRS, UMR 7589, LPTHE, F-75005, Paris, France.
Phys Rev Lett. 2014 Sep 12;113(11):116801. doi: 10.1103/PhysRevLett.113.116801. Epub 2014 Sep 8.
Quasiholes in certain fractional quantum Hall states are promising candidates for the experimental realization of non-Abelian anyons. They are assumed to be localized excitations, and to display non-Abelian statistics when sufficiently separated, but these properties have not been explicitly demonstrated except for the Moore-Read state. In this work, we apply the newly developed matrix product state technique to examine these exotic excitations. For the Moore-Read and the Z_{3} Read-Rezayi states, we estimate the quasihole radii, and determine the correlation lengths associated with the exponential convergence of the braiding statistics. We provide the first microscopic verification for the Fibonacci nature of the Z_{3} Read-Rezayi quasiholes. We also present evidence for the failure of plasma screening in the nonunitary Gaffnian wave function.
某些分数量子霍尔态中的准空穴是实现非阿贝尔任意子实验的有前景的候选者。它们被认为是局域激发，并且在充分分离时表现出非阿贝尔统计特性，但除了摩尔 - 里德态之外，这些特性尚未得到明确证明。在这项工作中，我们应用新开发的矩阵乘积态技术来研究这些奇异激发。对于摩尔 - 里德态和(Z_{3})里德 - 雷扎伊态，我们估计了准空穴半径，并确定了与编织统计的指数收敛相关的关联长度。我们首次对(Z_{3})里德 - 雷扎伊准空穴的斐波那契性质进行了微观验证。我们还给出了在非酉加夫尼安波函数中电荷屏蔽失效的证据。
