  Existence of distinctive correlation between the thermal conductance and the
Josephson current across a 1-D topological Josephson junction (T-JJ) is
established and an expression connecting the two is derived in the short
junction limit. It is shown that the three terminal T-JJ provides us with an
ideal set-up for exploiting the distinctive correlations which aid in
identifying hallmarks of Majorana bound state localized at the junction. Our
approach combines information form sub-gap Cooper pair transport and transport
of above-gap thermally excited quasiparticle which is complementary to the
existing studies.
