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.

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

References in corpus (6)

• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Energy resolution and discretization artefacts in the numerical renormalization group
• Chebyshev Matrix Product State Impurity Solver for the Dynamical Mean-Field Theory
• Chebyshev expansion for Impurity Models using Matrix Product States
• Electron spectra close to a metal-to-insulator transition
• Emergent Collective Modes and Kinks in Electronic Dispersions

Cited by in corpus (6)

• Non-thermal superconductivity in photo-doped multi-orbital Hubbard systems
• Photo-induced Ferromagnetic and Superconducting Orders in Multi-orbital Hubbard Models
• 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
• Quantum algorithms for optimal effective theory of many-body systems
• Natural orbital impurity solver for real-frequency properties at finite temperature