Resonant inelastic x-ray scattering as a probe of band structure effects in cuprates

Abstract

We analyze within quasi-particle theory a recent resonant inelastic x-ray scattering (RIXS) experiment on $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$ with the incoming photon energy detuned at several values from the resonance maximum [Minola et al., Phys. Rev. Lett. 114, 217003 (2015)]. Surprisingly, the data shows much weaker dependence on detuning than expected from recent measurements on a different cuprate superconductor, $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{Cu}{\mathrm{O}}_{6+\mathrm{x}}$ [Guarise et al., Nat. Commun. 5, 5760 (2014)]. We demonstrate here, that this discrepancy, originally attributed to collective magnetic excitations, can be understood in terms of the differences between the band structures of these materials. We find good agreement between theory and experiment over a large range of dopings, both in the underdoped and in the overdoped regime. Moreover, we demonstrate that the RIXS signal depends sensitively on excitations at energies well above the Fermi surface, that are inaccessible to traditionally used band structure probes, such as angle-resolved photemisson spectroscopy. This makes RIXS a powerful probe of band structure, not suffering from surface preparation problems and small sample sizes, making it potentially applicable to a number of cuprate materials.

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• Quantum spin fluctuations and evolution of electronic structure in cuprates
• Description of resonant inelastic x-ray scattering in correlated metals
• Resolving the nature of electronic excitations in resonant inelastic x-ray scattering
• Non-perturbative series expansion of Green's functions: The Anatomy of Resonant Inelastic X-Ray Scattering in Doped Hubbard Model
• Anisotropic magnetic excitations and incipient Néel order in Ba(Fe${}_{1-x}$Mn${}_x$)${}_2$As${}_2$
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Auxiliary fermion approach to the RIXS spectrum in a doped cuprate
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• Resonant Inelastic X-Ray Scattering in Metals: A Diagrammatic Approach
• Ultrafast X-ray Absorption Spectroscopy of Strongly Correlated Systems: Core Hole Effect
• Disentangling the role of bond lengths and orbital symmetries in controlling $T_c$ in YBa${}_2$Cu${}_3$O${}_7$
• Signatures of multiple charge excitations in RIXS spectra of metals
• Resonant inelastic X-ray scattering in the topological semimetal FeSi