The electronic structure of the lightly hole-doped triangular-lattice moir\'e Hubbard model is studied within cluster perturbation theory (CPT) using 13-site clusters for a fixed doping concentration p=1/13 varying the Coulomb parameter U and the hopping phase parameter ϕ related to the spin-orbital interaction. We have also developed a rather simple generalized mean-field approximation (GMFA) containing the amplitude of the spin correlations as a free parameter to fit the CPT data.The evolution of the Fermi surface and the pseudogap with the parameters ϕ and U is explained from the viewpoint of the short-range magnetic order. The geometric frustration and the additional model parameter related to the spin-orbital interaction result in a more rich physics of the pseudogap state compared to the case of a more conventional square lattice.
@article{arxiv.2507.09586,
title = {Pseudogap in the lightly hole-doped triangular-lattice moir\'e Hubbard model},
author = {V. I. Kuz'min and M. A. Visotin and S. G. Ovchinnikov},
journal= {arXiv preprint arXiv:2507.09586},
year = {2025}
}