Resonant soft x-ray scattering, stripe order, and the electron spectral function in cuprates

Abstract

We review the current state of efforts to use resonant soft x-ray scattering (RSXS), which is an elastic, momentum-resolved, valence band probe of strongly correlated electron systems, to study stripe-like phenomena in copper-oxide superconductors and related materials. We review the historical progress including RSXS studies of Wigner crystallization in spin ladder materials, stripe order in 214-phase nickelates, 214-phase cuprates, and other systems. One of the major outstanding issues in RSXS concerns its relationship to more established valence band probes, namely angle-resolved photoemission (ARPES) and scanning tunneling microscopy (STM). These techniques are widely understood as measuring a one-electron spectral function, yet a relationship between RSXS and a spectral function has so far been unclear. Using physical arguments that apply at the oxygen $K$ edge, we show that RSXS measures the square modulus of an advanced version of the Green's function measured with STM. This indicates that, despite being a momentum space probe, RSXS is more closely related to STM than to ARPES techniques. Finally, we close with some discussion of the most promising future directions for RSXS. We will argue that the most promising area lies in high magnetic field studies, particularly of edge states in strongly correlated heterostructures, and the vortex state in superconducting cuprates, where RSXS may clarify the anomalous periodicities observed in recent quantum oscillation experiments.

15 pages, 1 figure, submitted to special issue of Physica C, "Stripes and Electronic Liquid Crystals in Strongly Correlated Systems."

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Cited by in corpus (18)

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• Doping dependent charge order correlations in electron-doped cuprates
• Intermediate Coupling Model of the Cuprates
• Friedel Oscillations as a Probe of Fermionic Quasiparticles
• Evidence for Fluctuating Charge Stripes far above the Charge-Ordering Transition in La${}_{1.67}$ Sr${}_{0.33}$ NiO${}_4$
• Distinct fingerprints of charge density waves and electronic standing waves in ZrTe${}_3$
• Evolution of charge order topology across a magnetic phase transition in cuprate superconductors
• RVB superconductors with fermionic projected entangled pair states
• Dynamical Charge Susceptibility in the Hubbard Model
• Exploring Quasiparticles in High-Tc Cuprates Through Photoemission, Tunneling, and X-ray Scattering Experiments
• Distinguishing finite momentum superconducting pairing states with two-electron photoemission spectroscopy
• Short-range charge fluctuations in the two-dimensional Hubbard model
• Resonant soft x-ray scattering from stripe-ordered La${}_{2-x}$Ba${}_x$CuO${}_4$ detected by a transition edge sensor array detector
• Quasiparticle interference of heavy fermions in resonant X-ray scattering
• Resolving transitions in the mesoscale domain configuration in VO${}_2$ using laser speckle pattern analysis
• Theory of high-energy correlated multiphoton x-ray diffraction for synchrotron radiation sources
• Orthogonality catastrophe in Coulomb systems
• Paring density waves as the origin of a ring-like RIXS profile in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$