  The dynamic spin susceptibility (DSS) has a ubiquitous Lorentzian form in
conventional materials with weak spin orbit coupling, whose spectral width
characterizes the spin relaxation rate. We show that DSS has an unusual
non-Lorentzian form in topological insulators, which are characterized by
strong SOC. At zero temperature, the high frequency part of DSS is universal
and increases in certain directions as $\omega^{d-1}$ with $d=2$ and 3 for
surface states and Weyl semimetals, respectively, while for helical edge
states, the interactions renormalize the exponent as $d=2K-1$ with $K$ the
Luttinger-liquid parameter. As a result, spin relaxation rate cannot be deduced
from the DSS in contrast to the case of usual metals, which follows from the
strongly entangled spin and charge degrees of freedom in these systems. These
parallel with the optical conductivity of neutral graphene.
