The properties of Majorana bound states in topological superconductor nanowire

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We investigate the differential conductance in topological superconductor nanowire. The appropriate proximity-induced s-wave superconductivity and an externally applied magnetic field can derive a critical value to illustrate the topological state of the nanowire. When the strength of magnetic field is below the critical value, the nanowire produces an interior gap, and the interior gap decreases as the magnetic field increases. When the magnetic field is bigger than the critical value, the interior gap disappears, and zero-bias conductance peak appears which indicates that nanowire transits into the topological phase. In particular, with increasing of the chemical potential, the nanowire is changed into the topological phase with more stronger magnetic field applied. As long as the spin-orbit coupling and magnetic field axes are perpendicular, the nanowire can always be transited into the topological phase at a sufficiently large magnetic field.