Sum rule analysis of Umklapp processes and Coulomb energy: application to cuprate superconductivity

Details Sum rule analysis of Umklapp processes and Coulomb energy: application to cuprate superconductivity Sum rule analysis of Umklapp processes and Coulomb energy: application to cuprate superconductivity

2002-07-17

arxiv.org/abs/cond-mat/0207422v1

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevB.67.094517

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 analyse changes of the electron-electron Coulomb energy at the superconducting transition in cuprates.

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