Josephson Effect without Superconductivity: Realization in Quantum Hall Bilayers

We show that a quantum Hall bilayer with the total filling $\nu =1\mathrm{}$ should exhibit a dynamical regime similar to the flux flow in large Josephson junctions. This analogy may explain a conspicuous peak in the interlayer tunneling conductance [Phys. Rev. Lett. 84, 5808 (2000)]. The flux flow is likely to be spatiotemporally chaotic at low-bias voltage, which will manifest itself through broadband noise. The peak position can be controlled by an in-plane magnetic field.