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How to distinguish the zero-bias peak (ZBP) caused by the Majorana fermionsfrom that by the other effects remains a challenge in detecting the topologicalorder of a quantum wire. In this paper we propose to distinguish thetopological superconducting phase from the topologically trivial phase bymaking a Josephson junction of the quantum wire attached to a side lead andthen measuring the tunneling conductance through it as the phase differenceacross the junction $\phi$ varies. Even if the ZBPs exist in both phases, wecan identify the topological superconducting phase by a conductance peak at$\phi=\pi$ and a nearby butterfly pattern.

Identify the topological superconducting order in a multi-band quantum wire