Edge dynamics in quantum Hall bilayers: Exact results with disorder and parallel fields - art. no. 115301

We study edge dynamics in the presence of interlayer tunneling, parallel ma gnetic field, and various types of disorder for two infinite sequences of q uantum Hall states in symmetric bilayers. These sequences begin with the 11 0 and 331 Halperin states and include their fractional descendants at lower filling factors; the former is easily realized experimentally while the la tter is a candidate for the experimentally observed quantum Hall state at a total filling factor of 1/2 in bilayers. We discuss the experimentally int eresting observables that involve just one chiral edge of the sample and th e correlation functions needed for computing them. We present several metho ds for obtaining exact results in the presence of interactions and disorder that rely on the chiral character of the system. Of particular interest ar e our results on the 331 state, which suggest that a time-resolved measurem ent at the edge can be used to discriminate between the 331 and Pfaffian sc enarios for the observed quantum Hall state at filling factor 1/2 in realis tic double-layer systems.