The complex dielectric permittivity of K1-xLixTaO3 (KTL) single crystals wi
th x = 0.006 has been experimentally studied in detail in the temperature i
nterval from 5 to 300 K and at frequencies from 100 Hz to 1 MHz. In agreeme
nt with previous studies, a very large effect of the Li impurities on the d
ielectric response, even for such a small Li concentration, is found. It co
nsists in the appearance of a pronounced low-temperature dielectric dispers
ion with giant magnitude. This unusually large dielectric response cannot b
e caused only by the relaxation of the Li+-impurity off-centres themselves,
because the Li concentration is too small. Also, the host lattice response
itself cannot give such a large dispersion, as evidenced. We present a the
oretical model, which considers the coupling of the Li+-related relaxators
to the TO soft mode, giving a good description of the experimental data obt
ained.