en
Scientific article
Open access
English

Mach-Zehnder interferometry of fractional quantum Hall edge states

Publication date2009
Abstract

We propose direct experimental tests of the effective models of fractional quantum Hall edge states. We first recall a classification of effective models based on the requirement of anomaly cancellation and illustrate the general classification with the example of a quantum Hall fluid at filling factor ν=2/3. We show that, in this example, it is impossible to describe the edge states with only one chiral channel and that there are several inequivalent models of the edge states with two fields. We focus our attention on the four simplest models of the edge states of a fluid with ν=2/3 and evaluate charges and scaling dimensions of quasiparticles. We study transport through an electronic Mach-Zehnder interferometer and show that scaling properties of the Fourier components of Aharonov-Bohm oscillations in the current provide information about the electric charges and scaling dimensions of quasiparticles. Thus, Mach-Zehnder interferometers can be used to discriminate between different effective models of fluids corresponding to the same filling factor. They, therefore, can be used to test fundamental postulates underlying the low-energy effective theory of edge states. An important ingredient of our analysis is the tunneling Hamiltonian of quasiparticles, the form of which is discussed in detail.

Citation (ISO format)
LEVKIVSKYI, Ivan et al. Mach-Zehnder interferometry of fractional quantum Hall edge states. In: Physical review. B, Condensed matter and materials physics, 2009, vol. 80, n° 4. doi: 10.1103/PhysRevB.80.045319
Main files (1)
Article (Published version)
accessLevelPublic
Identifiers
ISSN of the journal1098-0121
578views
336downloads

Technical informations

Creation05/05/2014 4:21:00 PM
First validation05/05/2014 4:21:00 PM
Update time03/14/2023 9:11:43 PM
Status update03/14/2023 9:11:43 PM
Last indexation01/16/2024 9:55:19 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack