Auxiliary fermion approach to the RIXS spectrum in a doped cuprate

Abstract

We describe a method for calculating the resonant inelastic X-ray scattering (RIXS) response---including the dynamics of the transient core hole---of many-body systems with non-trivial gap structure encoded in their single particle Green's function. Our approach introduces auxiliary fermions in order to obtain a form amenable to the determinant method of Benjamin et al. [PRL 112 247002 (2014)], and is applicable to systems where interactions are most strongly felt through a renormalization of the single particle propagator. As a test case we consider the Yang Rice Zhang ansatz describing cuprate phenomena in the underdoped `pseudogap' regime, and show that including the core hole dynamics pushes the RIXS peaks towards higher energy transfer, improving agreement with experiments.

Significantly rewritten, including elucidating the connection to previous calculations that do not include the core hole. Figures have also been updated

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• Superconducting pairing in resonant inelastic X-ray scattering

Cited by in corpus (5)

• Spin-orbit coupled systems in the "atomic" limit: rhenates, osmates, iridates
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• Resonant Inelastic X-Ray Scattering Spectra of Cuprate Superconductors Predicted by Model of Fractionalized Fermions
• Resonant Inelastic X-Ray Scattering in Metals: A Diagrammatic Approach
• Signatures of multiple charge excitations in RIXS spectra of metals