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.
Keywords
Cite
@article{arxiv.1608.03306,
title = {Auxiliary fermion approach to the RIXS spectrum in a doped cuprate},
author = {Yifei Shi and Andrew James and Eugene Demler and Israel Klich},
journal= {arXiv preprint arXiv:1608.03306},
year = {2017}
}
Comments
Significantly rewritten, including elucidating the connection to previous calculations that do not include the core hole. Figures have also been updated