Fermi edge singularities in X-ray spectra of strongly correlated fermions

Abstract

We discuss the problem of the X-ray absorption in a system of interacting fermions and, in particular, those features in the X-ray spectra that can be used to discriminate between conventional Fermi-liquids and novel "strange metals". Focusing on the case of purely forward scattering off the core-hole potential, we account for the relevant interactions in the conduction band by means of the bosonization technique. We find that the X-ray Fermi edge singularities can still be present, although modified, even if the density of states vanishes at the Fermi energy, and that, in general, the relationship between the two appears to be quite subtle.

Latex, 16 pages, Princeton preprint

References in corpus (5)

• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Fermi Edge Singularities and Backscattering in a Weakly Interacting 1D Electron Gas
• On the Stability and Single-Particle Properties of Bosonized Fermi Liquids
• Fermi-Edge Singularity with Backscattering in the Luttinger-Liquid Model
• Charge-Spin Separation in 2D Fermi Systems: Singular Interactions as Modified Commutators, and Solution of 2D Hubbard Model in Bosonized Approximation

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• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. III: The $\gamma$ model and its phase diagram across $\gamma =1$
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. VI. The $\gamma$ model and its phase diagram at $2<\gamma <3$
• X-ray edge problem of graphene