We study the scaling behavior in the tunneling amplitude when quasiparticles tunnel along a straight path between the two edges of a fractional quantum Hall annulus. Such scaling behavior originates from the propagation and tunneling of charged quasielectrons and quasiholes in an effective field analysis. In the limit when the annulus deforms continuously into a quasi-one- dimensional (1D) ring, we conjecture the exact functional form of the tunneling amplitude for several cases, which reproduces the numerical results in finite systems exactly. The results for Abelian quasiparticle tunneling is consistent with the scaling analysis; this allows for the extraction of the conformal dimensions of the quasiparticles. We analyze the scaling behavior of both Abelian and non-Abelian quasiparticles in the Read-Rezayi states. Interestingly, the non-Abelian quasiparticle tunneling amplitudes exhibit non-trivial k-dependent corrections to the scaling exponent.

胡自翔, 2003年本科毕业于西安交通大学应用物理系, 2008年获得浙江大学物理学博士学位, 期间在美国佛罗里达国家强磁场实验室联合培养一年。2009-2010年韩国亚太理论物理研究中心博士后, 2010-2012年美国普林斯顿大学电子工程系博士后, 2013年起任重庆大学"百人计划"特聘研究员。长期从事分数量子霍尔效应等相关理论研究, 在Phys. Rev. Lett, Phys. Rev. B等期刊发表论文30余篇。