Topological signatures in an antiferromagnetic Heisenberg model in a honeycomb lattice with symmetric and antisymmetric exchange interactions

By adopting the bond-operator formalism, we solved the eigenvalue problem numerically, concurrently with the resolution of a pair of self-consistent equations.

The data regarding the spectrum and the self-consistent parameters (in function of both symmetric and antisymmetric interactions) are included in the dataset, as well as the data required to reproduce the VBS region of stability within the bond-operator representation. Subsequently, we calculated the bosonic Berry curvature of the system's elementary excitations, which requires calculating the derivative of the eigenstates numerically.