We explore the phase diagrams of moir\'e materials in search of a new class of intervalley-coherent correlated insulating state: the Chern texture insulator (CTI). This phase of matter, proposed in a companion paper, breaks valley U(1) symmetry in a nontrivial fashion wherein the valley order parameter is forced to texture in momentum space as a consequence of band topology. Using detailed Hartree-Fock studies, we establish that the CTI emerges as an energetically competitive intermediate-coupling ground state in several moir\'e systems which lack a twofold rotation symmetry that forbids the single-particle topology essential to the formation of the CTI valley texture.
@article{arxiv.2406.15342,
title = {Chern-Textured Exciton Insulators with Valley Spiral Order in Moir\'e Materials},
author = {Ziwei Wang and Yves H. Kwan and Glenn Wagner and Steven H. Simon and Nick Bultinck and S. A. Parameswaran},
journal= {arXiv preprint arXiv:2406.15342},
year = {2026}
}