  We study how a single lattice defect in a discrete time quantum walk affects
the return probability of a quantum particle. This defect at the starting
position is modeled by a quantum coin that is distinct from the others over the
lattice. This coin has a dependence on $\omega$ which quantifies the intensity
of the localization. For some sorts of lattice defects, we show how the
localization can have a dependence just on $\omega$, and also, the polar
$\alpha$ and azimuth $\beta$ angles of the initial qubit by numerical
calculations. We propose a lattice defect whose localization has additional
dependence on $\beta+\omega$, leading to extra localization profiles. We
compare the quantum walks with our lattice defect to the earlier ones, and we
discuss their spreading and survival probability.
