Generalized Schrieffer-Wolff transformation of multi-flavor Hubbard models

Abstract

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.

arXiv commentPublished version. This work was formerly a part of Supplementary Material of arXiv:1705.03910v1, it is now a separate paper

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Cited by in corpus (12)

• Orbital differentiation in Hund metals
• Doublon-holon origin of the subpeaks at the Hubbard band edges
• Filling-driven Mott transition in SU(N) Hubbard models
• Optical control of competing exchange interactions and coherent spin-charge coupling in two-orbital Mott insulators
• Non-thermal superconductivity in photo-doped multi-orbital Hubbard systems
• Doublon-holon excitations split by Hund's rule coupling within the orbital-selective Mott phase
• Photo-induced Ferromagnetic and Superconducting Orders in Multi-orbital Hubbard Models
• Renormalized dispersing multiplets in the spectrum of nearly Mott localized systems
• Schrieffer-Wolff transformation for non-Hermitian systems: application for $\mathcal{P}\mathcal{T}$-symmetric circuit QED
• Photo-induced charge, spin, and orbital order in the two-orbital extended Hubbard model
• Natural orbital impurity solver for real-frequency properties at finite temperature
• Quantum algorithms for optimal effective theory of many-body systems