Infrared catastrophe and tunneling into strongly correlated electron systems: Perturbative x-ray edge limit

Kelly R. Patton, Michael R. Geller

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The tunneling density of states exhibits anomalies (cusps, algebraic suppressions, and pseudogaps) at the Fermi energy in a wide variety of low-dimensional and strongly correlated electron systems. We argue that in many cases these spectral anomalies are caused by an infrared catastrophe in the screening response to the sudden introduction of a new electron into the system during a tunneling event. A nonperturbative functional integral method is introduced to account for this effect, making use of methods developed for the x-ray edge singularity problem. The formalism is applicable to lattice or continuum models of any dimensionality, with or without translational invariance. An approximate version of the technique is applied to the 1D electron gas and the 2D Hall fluid, yielding qualitatively correct results.

Original languageEnglish
Article number125108
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume72
Issue number12
DOIs
StatePublished - Sep 15 2005

Scopus Subject Areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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