We investigate the Dirac particles tunnelling as a radiation of Warped AdS$_{ 3}$ black hole family in Topological Massive Gravity. Using the Hamilton-Jacobi method, we discuss tunnelling probability and Hawking temperature of the spin-1/2 particles for the black hole and its extremal cases. We observe that the Hawking temperature of the non-extremal black hole higher than the extremal black hole when $\omega <\frac{ 2\ r_{ 0}}{ 3}$, because the non-extremal black hole become unstable in this case.
Categories: gr-qc