Double-layer quantum Hall systems with spontaneous broken symmetry can
exhibit a novel many body quantum Hall effect due to the strong inter
layer coherence. When the layer separation becomes close to the critic
al value, quantum fluctuations can destroy the interlayer coherence an
d the quantum Hall effect will disappear. We calculate the renormalize
d isospin stiffness rho(s) due to quantum fluctuations within the Hart
ree-Fock-RPA formalism. The activation energy of the topological excit
ations thus obtained demonstrates a nice qualitative agreement with re
cent experiment.