Electron-phonon effects on the Raman spectrum in MgB$_2$

Details Electron-phonon effects on the Raman spectrum in MgB$_2$ Electron-phonon effects on the Raman spectrum in MgB$_2$

2005-12-09

arxiv.org/abs/cond-mat/0512198v2

Phys. Rev. B 73, 140505 (2006)

Physics

Condensed Matter

Superconductivity

4 revtex pages, eps figures included, final version as appears in Phys. Rev. B (Rapid Communication)

Scientific paper

10.1103/PhysRevB.73.140505

The anomalous features of the Raman spectroscopy measurement in MgB$_2$ represent a still unresolved puzzle. In particular highly debated are the origin of the huge $E_{2g}$ phonon linewidth, the nature of the low energy ($\omega < \omega_{E_{2g}}$) background and the evolution of the Raman spectra with Al doping. In this paper we compute the self-energy of the $E_{2g}$ phonon mode in a fully self-consistent way taking into account electron-phonon effects on the electronic properties. We show that all the anomalous features can be naturally understood in a framework where the whole electron-phonon spectrum $\alpha^2F(\omega)$ gives rise to significant damping processes for the electronic excitations and consequently for the $E_{2g}$ phonon itself. The two-peak structure as function of the Al doping is ascribed to finite bandwidth effects arising as the Fermi level approaches the $\sigma$ band edge.

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