  Quantum Hall states - the progenitors of the growing family of topological
insulators -- are rich source of exotic quantum phases. The nature of these
states is reflected in the gapless edge modes, which in turn can be classified
as integer - carrying electrons, fractional - carrying fractional charges; and
neutral - carrying excitations with zero net charge but a well-defined amount
of heat. The latter two may obey anyonic statistics, which can be abelian or
non-abelian. The most-studied putative non-abelian state is the spin-polarized
filling factor {\nu}=5/2, whose charge e/4 quasiparticles are accompanied by
neutral modes. This filling, however, permits different possible topological
orders, which can be abelian or non-abelian. While numerical calculations favor
the non-abelian anti-Pfaffian (A-Pf) order to have the lowest energy, recent
thermal conductance measurements suggested the experimentally realized order to
be the particle-hole Pfaffian (PH-Pf) order. It has been suggested that lack of
thermal equilibration among the different edge modes of the A-Pf order can
account for this discrepancy. The identification of the topological order is
crucial for the interpretation of braiding (interference) operations, better
understanding of the thermal equilibration process, and the reliability of the
numerical studies. We developed a new method that helps identifying the
topological order of the {\nu}=5/2 state. By creating an interface between the
two 2D half-planes, one hosting the {\nu}=5/2 state and the other an integer
{\nu}=3 state, the interface supported a fractional {\nu}=1/2 charge mode with
1/2 quantum conductance and a neutral Majorana mode. The presence of the
Majorana mode, probed by measuring noise, propagating in the opposite direction
to the charge mode, asserted the presence of the PH-Pf order but not that of
the A-Pf order.
