  Topological insulators are new kind of Dirac materials that possess bulk
insulating and surface conducting behavior. They are basically known for their
unique electronic properties at the surface. Here we present the
magneto-transport properties of our high quality single crystalline Y(Lu)PtBi
Heusler topological insulators, which belong to a group of noncentrosymmetric
superconductor with Tc = 0:8 K. Both the compounds show semi-metallic behavior
with low charge carrier of 6 x1018 cm^-3 for YPtBi and 8 x1019 cm^-3 for LuPtBi
at 2 K. Magneto-conductivity measurements in the tilted field indicate that the
charge carriers transport through quantum interference. This provide a direct
evidence of weak anti-localization below 50 K, giving a strong signature of
surface transport. Most importantly, these compounds show very high unsaturated
linear magnetoresistance of approximately 2000% at 10 K in a magnetic field of
60 T.
