  We discuss the topological phase transition of the spin-$\frac{1}{2}$
fermionic Haldane model with repulsive on-site interaction. We show that the
Berry curvature of the topological Hamiltonian, the first Chern number, and the
topological phase transition point can be extracted from the single-particle
density matrix for this interacting system. Furthermore, we design a tomography
scheme for the single-particle density matrix of interacting fermionic two-band
models in experimental realizations with cold atoms in optical lattices.
