Resonant Inelastic X-Ray Scattering Spectra of Cuprate Superconductors Predicted by Model of Fractionalized Fermions

Abstract

We theoretically analyze the intensity of the resonant inelastic X-ray scattering (RIXS) based on Ansatz that the electron is fractionalized into two components. By fitting the angle resolved photoemission spectroscopy (ARPES) data of a cuprate high-$T_{\mathrm{c}}$ superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and the accompanied machine learning results obtained before by Yamaji {\it et al.} (arXiv:1903.08060), we determine the paprameters of the two-component fermion model which describes the electron fractionalization. The RIXS spectra are predicted by using this description. We find that the intensity is enhanced in the superconducting phase relative to the normal or pseudogap phase. Since the enhancement is unusual, we propose this can be used as a critical test whether the unconventional electron fractionalization captures the essence of the cuprate superconductivity. This type of combined analyses using multiple independent spectroscopy data, with the help of theoretical and machine learning insights, regarded as {\it integrated spectroscopy} opens a new route to study difficult open issues in strongly correlated electron systems.

arXiv comment23 pages, 14 figures

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Cited by in corpus (5)

• Exciton dynamics uncovering electron fractionalization in superconducting cuprates
• Charge Order and Superconductivity as Competing Brothers in Cuprate High-$T_{\mathrm{c}}$ Superconductors
• Pseudogap in electron-doped cuprates: Strong correlation leading to band splitting
• Hidden self-energies as origin of cuprate superconductivity revealed by machine learning
• Fermi Machine -- Quantum Many-Body Solver Derived from Correspondence between Noninteracting and Strongly Correlated Fermions