Non-perturbative series expansion of Green's functions

• Verfasst von: Lu, Yi [VerfasserIn]
• Verfasst von: Haverkort, Maurits W. [VerfasserIn]
• Titel: Non-perturbative series expansion of Green's functions
• Titelzusatz: the anatomy of resonant inelastic X-ray scattering in doped Hubbard model
• Verf.angabe: Yi Lu and Maurits W. Haverkort
• E-Jahr: 2018
• Jahr: October 4, 2018
• Umfang: 12 S.
• Fussnoten: Gesehen am 08.12.2020
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2018
• Band/Heft Quelle: (2018) Artikel-Nummer 1711.03780, 12 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Condensed Matter - Strongly Correlated Electrons
• K10plus-PPN: 1585066354

Abstract

We present a non-perturbative, divergence-free series expansion of Green's functions using effective operators. The method is especially suited for computing correlators of complex operators as a series of correlation functions of simpler forms. We apply the method to study low-energy excitations in resonant inelastic x-ray scattering (RIXS) in doped one- and two-dimensional single-band Hubbard models. The RIXS operator is expanded into polynomials of spin, density, and current operators weighted by fundamental x-ray spectral functions. These operators couple to different polarization channels resulting in simple selection rules. The incident photon energy dependent coefficients help to pinpoint main RIXS contributions from different degrees of freedom. We show in particular that, with parameters pertaining to cuprate superconductors, local spin excitation dominates the RIXS spectral weight over a wide doping range in the cross-polarization channel.