We study an interacting spinless quadratic band touching model that realizes a topological Mott insulating state. We quench the interaction from a value corresponding to the nematic insulator to that of the quantum anomalous Hall (QAH) ordered phase. We perform time-dependent Hartree-Fock simulations and show that after the quench the system realizes an excited Dirac semimetal state, which is however unstable and spontaneously evolves to a state with inhomogeneous nematic and QAH order parameters. The modulations form a stripe pattern that grows exponentially with time until the local Chern marker reaches unity. The alternating QAH order defines a domain structure with boundaries that host chiral sublattice currents.
@article{arxiv.2502.05035,
title = {Quantum anomalous Hall domains in a Quenched Topological Mott Insulator},
author = {Lara Ulčakar and Gal Lemut and Tomaž Rejec and Jernej Mravlje},
journal= {arXiv preprint arXiv:2502.05035},
year = {2025}
}