The quantum Hamiltonian $H=H_C+H_J$, with $H_J$ the Josephson and $H_C$ the charging energy between grains, is studied. Renormalization-group equations are derived within a semiclassical approximation that show that there is a reentrant normal phase for nonzero $H_C$; phase coherence is stable in a region of temperature that shrinks to zero as the quantum fluctuations grow, up to a critical value. The possible connection of these results to recent experiments is discussed.

• Received 26 October 1983

DOI:https://doi.org/10.1103/PhysRevB.29.2836