We give a self-contained derivation of the low-energy effective interactions of the SU(N) Hubbard model, a multiflavor generalization of the one-band Hubbard model, by using a generalized Schrieffer-Wolff transformation (SWT). The effective interaction of doublons and holons, which has been largely ignored in previous SWT studies (e.g., the t-J model), leads to distinct peaks in the local density of states. As shown by Lee et al. [Phys. Rev. Lett. 119, 236402 (2017)], this underlying effective doublon-holon interaction explains the numerical observation of the subpeaks at the inner edges of the Hubbard bands in the metallic phase close to the Mott transition.
@article{arxiv.1710.01171,
title = {Generalized Schrieffer-Wolff transformation of multi-flavor Hubbard models},
author = {Seung-Sup B. Lee and Jan von Delft and Andreas Weichselbaum},
journal= {arXiv preprint arXiv:1710.01171},
year = {2017}
}
Comments
Published version. This work was formerly a part of Supplementary Material of arXiv:1705.03910v1, it is now a separate paper