Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-03-04
Advances in Condensed Mater Physics 2010, Article ID 920860 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages, 12 figures
Scientific paper
10.1155/2010/920860
The Hubbard-Holstein model is a simple model including both electron-phonon interaction and electron-electron correlations. We review a body of theoretical work investigating the effects of strong correlations on the electron-phonon interaction. We focus on the regime, relevant to high-T_c superconductors, in which the electron correlations are dominant. We find that the electron-phonon interaction can still have important signatures, even if many anomalies appear, and the overall effect is far from conventional. In particular in the paramagnetic phase the effects of phonons are much reduced in the low-energy properties, while the high-energy physics can be strongly affected by phonons. Moreover, the electron-phonon interaction can still give rise to important effects, like phase separation and charge-ordering, and it assumes a predominance of forward scattering even if the bare interaction is assumed to be local (momentum independent). Antiferromagnetic correlations reduce the screening effects due to electron-electron interactions and revive the electron-phonon effects.
Capone Massimo
Castellani Claudio
Grilli Marco
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