  In the last few decades, the study of topological materials has been carried
out on an extensive scale. Half-Heusler alloys are well known for their
topological behaviours. In this work, we present a detailed study of
topological properties of a ternary Half-Heusler alloy, YAuPb, using the
tight-binding approach. We have calculated some important topological
properties which includes$-$ finding nodes and their chiralities, Berry
curvature ($\boldsymbol\Omega$) and the surface-states. Based on the study of
these properties, we categorise the material as non-trivial topological
semimetal. Besides the topological behaviours, we present a comparative study
of temperature dependent transport properties corresponding to the chemical
potential ($\mu$) of the Fermi level and the node points. The results obtained
from the calculations of electrical conductivity per unit relaxation time
($\boldsymbol\sigma/\tau$) and the electronic part of thermal conductivity per
unit relaxation time ($\boldsymbol\kappa_0$) indicates the conducting nature of
the material to both the heat and electricity. Furthermore, the negative value
of $S$ obtained, indicates the n-type behaviour of the compound. The calculated
value of electronic specific heat (Pauli magnetic susceptibility) corresponding
to Fermi level is $\sim 0.03 \hspace{1mm}(0.18) \times 10^{-2}$ $
Jmol^{-1}K^{-1}$ ($\sim 1.21 \hspace{1mm}(1.14) \times 10^{-10}$ $
m^{3}mol^{-1}$) at 50 (300) K. This work suggests that YAuPb is a promising
candidate of non-trivial topological semimetals which can be employed in
transmission of heat and electricity, and as n-type material within the
temperature range of 50-300 K.
