Auxiliary fermion approach to the resonant inelastic x-ray scattering response in an underdoped cuprate

Shi, Yifei; James, Andrew J. A.; Demler, Eugene and Klich, Israel (2017). Auxiliary fermion approach to the resonant inelastic x-ray scattering response in an underdoped cuprate. Physical Review B, 96(15), article no. 155101.

DOI: https://doi.org/10.1103/PhysRevB.96.155101

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 nontrivial 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., [Phys. Rev. Lett. 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 for cuprate phenomena in the underdoped “pseudogap” regime, which remains a popular tool for interpreting the results of experimental probes. We show that taking the core hole dynamics into account for a system described by this ansatz pushes the RIXS peaks towards higher energy transfer, improving agreement with experiments.

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