Bishara, Waheb and Nayak, Chetan (2009) Odd-even crossover in a non-Abelian ν=5/2 interferometer. Physical Review B, 80 (15). Art. No. 155304. ISSN 1098-0121 http://resolver.caltech.edu/CaltechAUTHORS:20091125-094226290
- Published Version
See Usage Policy.
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20091125-094226290
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.|
|Subject Keywords:||conformal field theory, interferometers, Ising model, point contacts, quantum Hall effect, quasiparticles|
|Classification Code:||PACS: 73.43.-f; 73.40.Gk.|
|Official Citation:||Odd-even crossover in a non-Abelian nu = 5/2 interferometer Waheb Bishara and Chetan Nayak, Phys. Rev. B 80, 155304 (2009), DOI:10.1103/PhysRevB.80.155304|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||04 Jan 2010 19:33|
|Last Modified:||26 Dec 2012 11:35|
Repository Staff Only: item control page