  It is shown that an account of the Berry phase (a topological $\theta$-term)
together with a dissipative term in the effective action $S[\phi]$ of the
tunnel contacts induces a strong quantization of the tunnel current at low
temperatures. This phenomenon like the Coulomb blockade reflects a discrete
charge structure of the quantum shot noise and can ensure a quantization of the
tunnel current without a capacitive charging energy $E_C$, when the latter is
strongly suppressed by quantum fluctuations. Since a value of the
$\theta$-parameter is determined by the gate voltage, this effect allows to
control a current through the contact.
  A possible physical application of this effect is proposed.
