MagneticFieldTuned AharonovBohm Oscillations and Evidence for NonAbelian Anyons at ν=5/2
Abstract
We show that the resistance of the ν=5/2 quantum Hall state, confined to an interferometer, oscillates with the magnetic field consistent with an Isingtype nonAbelian state. In three quantum Hall interferometers of different sizes, resistance oscillations at ν=7/3 and integer filling factors have the magnetic field period expected if the number of quasiparticles contained within the interferometer changes so as to keep the area and the total charge within the interferometer constant. Under these conditions, an Abelian state such as the (3, 3, 1) state would show oscillations with the same period as at an integer quantum Hall state. However, in an Isingtype nonAbelian state there would be a rapid oscillation associated with the “evenodd effect” and a slower one associated with the accumulated Abelian phase due to both the AharonovBohm effect and the Abelian part of the quasiparticle braiding statistics. Our measurements at ν=5/2 are consistent with the latter.
 Publication:

Physical Review Letters
 Pub Date:
 November 2013
 DOI:
 10.1103/PhysRevLett.111.186401
 arXiv:
 arXiv:1301.2639
 Bibcode:
 2013PhRvL.111r6401W
 Keywords:

 71.10.Pm;
 73.43.Fj;
 05.30.Pr;
 Fermions in reduced dimensions;
 Novel experimental methods;
 measurements;
 Fractional statistics systems;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 10 pages, 8 figures, includes Supplemental Materials