Abstract
This chapter reviews proposed transport experiments in the quantum Hall regime in a system designed to form the solid state analog of the Fabry-Perot interferometer. We review studies of that system for a series of quantum Hall states in the second Landau Level called the Read-Rezayi states. We focus here on two types of experiments. The first is a lowest order interference experiment of the fundamental quasi-holes of the system. The second is a Coulomb blockade based measurement which probes features in the flow of electrons through a closed part of the system. Both experiments were suggested as ways to answer a single question: do these quantum Hall states support excitation obeying non- Abelian statistics? After introducing the concept of non-Abelian statistics, reviewing these proposed experiments and the predictio s made for their results, we also comment on some of the assumptions made during the analysis and the outcome of their violation.
Original language | English |
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Title of host publication | Perspectives of Mesoscopic Physics |
Subtitle of host publication | Dedicated to Yoseph Imry's 70th Birthday |
Publisher | World Scientific Publishing Co. |
Pages | 137-157 |
Number of pages | 21 |
ISBN (Electronic) | 9789814299442 |
ISBN (Print) | 981429943X, 9789814299435 |
DOIs | |
State | Published - 1 Jan 2010 |
Externally published | Yes |
ASJC Scopus subject areas
- Biochemistry, Genetics and Molecular Biology (all)
- Engineering (all)
- Physics and Astronomy (all)