Detecting Non-Abelian Anyons by Charging Spectroscopy
Abstract
Observation of non-Abelian statistics for the e/4 quasiparticles in the \nu=5/2 fractional quantum Hall state remains an outstanding experimental problem. The non-Abelian statistics are linked to the presence of additional low energy states in a system with localised quasiparticles, and hence an additional low-temperature entropy. Recent experiments, which detect changes in the number of quasiparticles trapped in a local potential well as a function of an applied gate voltage, V_G, provide a possibility for measuring this entropy, if carried out over a suitable range of temperatures, T. We present a microscopic model for quasiparticles in a potential well and study the effects of non-Abelian statistics on the charge stability diagram in the V_G-T plane, including broadening at finite temperature. We predict a measurable slope for the first quasiparticle charging line, and an even-odd effect in the diagram, which is a signature of non-Abelian statistics.
Cite
@article{arxiv.1212.1163,
title = {Detecting Non-Abelian Anyons by Charging Spectroscopy},
author = {Gilad Ben-Shach and Chris R. Laumann and Izhar Neder and Amir Yacoby and Bertrand I. Halperin},
journal= {arXiv preprint arXiv:1212.1163},
year = {2013}
}
Comments
8 pages, 3 fiugres