  The concept of the local Chern marker has gained a lot of attention
especially in the field of ultracold quantum gases in optical lattices and
artificial gauge fields. We investigate in further detail the microscopic
real-space characteristics of the local Chern marker for the two-band Harper-
Hofstadter-Hatsugai model and propose a tomographic scheme for the experimental
detection of an approximate local Chern marker neglecting higher orders.
