A popular signature of Majorana bound states in topological superconductors
is the zero-energy conductance peak with a height of 2e2/h. However, a
similar zero energy conductance peak with almost the same height can also arise
due to non-topological reasons. Here we show that these trivial and topological
zero energy conductance peaks can be distinguished via the zero energy local
density of states and local magnetization density of states. We find that the
zero-energy local density of states exhibits oscillations with a finite period
for a trivial zero-bias conductance peak. In contrast, these oscillations
disappear for the topological zero-bias conductance peak. On the other hand,
zero energy local magnetization density of states shows a periodic oscillation
for trivial zero-bias conductance peak, while for topological ZBCP, they
vanish. Our results suggest that zero-energy local density of states and local
magnetization density of states can be used as an experimental probe to
distinguish trivial zero energy conductance peak from topological zero energy
conductance peak.Comment: 7 pages, 5 figure