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Motivated by a recent experimental progress in realizing Majorana fermions(MFs) in a heterostructure of a spin-orbit coupling nanowire and superconductor(V. Mourik et al., Science.1222360), we investigate a SQUID formed by the novelsuperconductor-nanowire-superconductor Josephson junction which contains MFsand a conventional superconductor-insulator-superconductor junction. It isshown that the critical current of the SQUID is different for the two currentdirections. Since the asymmetric Josepshon current forms a ratchet potentialfor the dynamics of superconducting phase, a rectification effect is expectedwhen the SQUID is driven by an ac current. These novel properties are expectedto be useful for probing the elusive MFs as well as for their dynamics.

Ratchet potential and rectification effect in Majorana fermion SQUID