  By a polaronic energy shift, the effective charging energy of molecules can
become negative, favoring ground states with even numbers of electrons. Here,
we show that charge transport through such molecules near ground-state
degeneracies is dominated by tunneling of electron pairs which coexists with
(featureless) single-electron cotunneling. Due to the restricted phase space
for pair tunneling, the current-voltage characteristics exhibits striking
differences from the conventional Coulomb blockade. In asymmetric junctions,
pair tunneling can be used for gate-controlled current rectification and
switching.
