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Generalized Schrieffer-Wolff transformation of multiflavor Hubbard models

2017/10/31 by Seung-Sup B. Lee, Seung‐Sup B. Lee, Jan von Delft +1
Chemistry · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Chemistry #Condensed matter physics #Generalization #Hubbard model #Mathematical analysis #Mathematical physics #Mathematics #Mott transition #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Superconductivity #Theoretical physics #Transformation (genetics) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.96.245106

published as Phys. Rev. B 96, 245106 (2017) · Published version. This work was formerly a part of Supplementary Material of arXiv:1705.03910v1, it is now a separate paper

openalex created_date 2017/10/20 · openalex publication_date 2017/12/05 · arxiv created 2017/12/06 · arxiv updated 2017/12/07 · openalex updated_date 2026/08/05

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\text\ensuremath-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.

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