Sum rule analysis of umklapp processes and Coulomb energy: Application to cuprate superconductivity

Misha Turlakov, Anthony J. Leggett

Research output: Contribution to journalArticle

Abstract

The third moment frequency sum rule for the density-density correlation function is rederived in the presence of umklapp processes. Upper and lower bounds on the electron-electron Coulomb energy are derived in two-dimensional and three-dimensional media, and the umklapp processes are shown to be crucial in determining the spectrum of the density fluctuations (especially for the two-dimensional systems). This and other standard sum rules can be used in conjunction with experimental spectroscopies (electron energy-loss spectroscopy, optical ellipsometry, etc.) to analyze changes of the electron-electron Coulomb energy at the superconducting transition in cuprates.

Original languageEnglish (US)
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume67
Issue number9
DOIs
StatePublished - Mar 31 2003

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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