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年本科畢業于西安交通大學物理系，2007年在美國佛羅里達國家強磁場實驗室聯合培養，2008年獲浙江大學物理系博士學位，2009年至2012年期間先后在韓國亞太理論物理研究中心，美國普林斯頓大學做博士后研究。2013年3月起任重慶大學物理學院“百人計劃”特聘研究員，博士生導師。目前已在PRL,PRB等雜志上發表論文20余篇，主持國家自然科學基金面上項目一項。