  Two-dimensional compounds with non-zero Berry curvature are ideal systems to
study exotic and technologically favourable thermoelectric and magnetoelectric
properties. Within this class of materials, the topological trivial and
non-trivial regimes had to present very different behaviours which are encoded
for the orbital susceptibility and magnetization. In order to try to reveal
them, we have found that it was necessary to introduce a k-dependent mass term
in the relativistic formalism of these materials. Thus, while a topologically
trivial insulator is predicted to have a very limited response, in the
non-trivial regime we unveil a singular contribution to the orbital magnetic
susceptibility which is inversely proportional to the square of the quantum
magnetic flux. In this emergent scenario, besides determining the measurement
conditions we also find a new route for enhancing the intrinsic orbital
magnetism of topological materials widening the range of temperatures and
magnetic fields without involving tiny band gaps.
