Electron-Phonon Interactions on a Single-Branch Quantum Hall Edge

We consider the effect of electron-phonon interactions on edge states in quantum Hall systems with a single edge branch. The presence of electron-phonon interactions modifies the single-particle propagator for general quantum Hall edges, and, in particular, destroys the Fermi liquid at integer filling. The effect of the electron-phonon interactions may be detected experimentally in the ac conductance or in the tunneling conductance between integer quantum Hall edges.