Coulomb gap: How a metal film becomes an insulator

Electron tunneling measurements of the density of states (DOS) in ultrathin Be films reveal that a correlation gap mediates their insulating behavior. In films with sheet resistance R < 5000 Ohm the correlation singularity ap pears as the usual perturbative ln(V) zero bias anomaly (ZBA) in the DOS. A s R is increased further, however, the ZBA grows and begins to dominate the DOS spectrum. This evolution continues until a nonperturbative \V\ Efros-S hklovskii Coulomb gap spectrum finally emerges in the highest R films. Tran sport measurements of films which display this gap are well described by a universal variable range hopping law R(T) = (h/2e(2)) exp(T-0/T)(1/2).