Dynamics of a SQUID with topologically nontrivial barriers

The phase dynamics of a SQUID consisting of Josephson junctions with topologically nontrivial barriers has been studied. Its comparative analysis with the dynamics of a conventional SQUID has been performed. The current-voltage characteristics have been calculated. The dependence of the return current on the magnetic field has been found. It has been shown that the branch of the current-voltage characteristic corresponding to the resonance frequency in the case of the SQUID with nontrivial barriers is displaced by $\sqrt{2}$ over voltage. This effect can be used for the detection of Majorana fermions.