Experimental study of bulk-edge coupling in quantum Hall interferometers and the impact on detection of anyonic statistics

Interferometers have been used in the quantum Hall regime to probe fractional charge and anyonic statistics of quasiparticles. Theoretical analysis indicates that coupling parameters between charge in the bulk and at the edge of the interferometer are crucial in determining interference behavior in integer and fractional quantum Hall states. We discuss measurements of an interferometer with significant bulk-edge coupling in which the relevant parameters can be determined experimentally, and we compare results to theory. In the integer quantum Hall regime, the device exhibits Aharonov-Bohm regime interference at ν =  1 but Coulomb dominated interference at ν = 3, and the difference in behavior can be accounted for by the experimentally extracted values of the electrostatic coupling parameters K_I and K_IL. At the ν = 1/3 state, the device exhibits Aharonov-Bohm interference near the center of the conductance plateau with a few discrete jumps in phase, while at high and low fields oscillations with period Ф₀ occur, consistent with signatures of anyonic statistics when the bulk is incompressible and when it is compressible. The values of K_I and K_IL  can account for the deviation of the discrete phase jumps from the ideal theoretical value of 2π/3.