Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published October 2009 | Published
Journal Article Open

Odd-even crossover in a non-Abelian ν=5/2 interferometer

Abstract

We compute the backscattered current in a double point-contact geometry of a quantum-Hall system at filling fraction ν=5/2 as a function of bias voltage in the weak backscattering regime. We assume that the system is in the universality class of either the Pfaffian or anti-Pfaffian state. When the number of charge e/4 quasiparticles in the interferometer is odd, there is no interference pattern. However, the coupling between a charge e/4 quasiparticle and the edge causes it to be absorbed by the edge at low energies. Consequently, an interference pattern appears at low bias voltages and temperatures, as if there were an even number of quasiparticles in the interferometer. We relate this problem to that of a semi-infinite Ising model with a boundary magnetic field. Using the methods of perturbed boundary conformal field theory, we give an exact expression for this crossover of the interferometer as a function of bias voltage. Finally, we comment on the possible relevance of our results to recent interference experiments.

Additional Information

© 2009 The American Physical Society. Received 1 June 2009; revised 12 August 2009; published 5 October 2009. We thank Paul Fendley for numerous discussions. We thank A. Stern for a discussion after one of us C.N. gave a talk reporting the present work at the KITP Conference on Low-Dimensional Electron Systems in February 2009.

Attached Files

Published - Bishara2009p6348Phys_Rev_B.pdf

Files

Bishara2009p6348Phys_Rev_B.pdf
Files (374.3 kB)
Name Size Download all
md5:8354c4429866be8a506b229d4552b38f
374.3 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 19, 2023