Abstract:

Motivated by the recent interference experiments in paired quantum Hall systems at filling fraction 5/2, which was proposed to be a candidate state for topological quantum computation. we study the scaling behavior in the amplitude of fractionally-charged quasiparticles tunneling between the two edges of an annulus. In the effective field analysis, the scaling behavior can be attributed to the propagation and tunneling of charged quasielectrons and quasiholes. In the limit when the annulus deforms continuously into a quasi-one-dimensional ring, we find the exact functional form of the tunneling amplitude for the Laughlin and Moore-Read cases, which allows us to extract the conformal dimensions of the quasiparticles.

Refs:
Phys. Rev. B 77, 165316 (2008)
Phys. Rev. B 80, 235305 (2009).
New J. Phys. 13, 035020(2011).
Phys. Rev. Lett. 107, 236806 (2011)

arXiv:1201.2105

Short Bio:

胡自翔，2003年本科毕业于西安交通大学物理系，2007年在美国佛罗里达国家强磁场实验室联合培养，2008年获浙江大学物理系博士学位，2009年至2012年期间先后在韩国亚太理论物理研究中心，美国普林斯顿大学做博士后研究。2013年3月起任重庆大学物理学院“百人计划”特聘研究员，博士生导师。目前已在PRL,PRB等杂志上发表论文20余篇，主持国家自然科学基金面上项目一项。