# Microscopic characteristics and tomography scheme of the local Chern marker

## TL;DR

This paper explores the microscopic properties of the local Chern marker in a two-band model and proposes an experimental tomography scheme for its detection, advancing understanding in quantum gases and topological materials.

## Contribution

It provides a detailed analysis of the local Chern marker's microscopic features and introduces a practical method for its experimental measurement.

## Key findings

- Microscopic real-space characteristics of the local Chern marker analyzed.
- Proposed a tomography scheme for experimental detection.
- Neglects higher-order effects for approximate measurement.

## Abstract

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.