I am trying to obtain the local density of states of a topological (finite) system by using KPM approximation. My problem is that the gap is too small (as I am considering realistic parameters) and this results in more states than the topologically protected ones appearing for zero energy LDoS. If I control the energy resolution the memory consumption increases too much.

So my question is if there is any parameter I can control to have a better energy resolution only near zero energy or maybe somewhere I can compensate the memory consumption (for example, losing resolution at the local distribution in order to obtain better energy resolution).