  The tunneling junction between one-dimensional topological superconductor and
integer (fractional) topological insulator (TI), realized via point contact, is
investigated theoretically with bosonization technology and renormalization
group methods. For the integer TI case, in a finite range of edge interaction
parameter, there is a non-trivial stable fixed point which corresponds to the
physical picture that the edge of TI breaks up into two sections at the
junction, with one side coupling strongly to the Majorana fermion and
exhibiting perfect Andreev reflection, while the other side decouples,
exhibiting perfect normal reflection at low energies. This fixed point can be
used as a signature of the Majorana fermion and tested by nowadays experiment
techniques. For the fractional TI case, the universal low-energy transport
properties are described by perfect normal reflection, perfect Andreev
reflection, or perfect insulating fixed points dependent on the filling
fraction and edge interaction parameter of fractional TI.
