Physics – Condensed Matter – Superconductivity
Scientific paper
2006-06-27
Phys. Rev. B 74, 174516 (2006)
Physics
Condensed Matter
Superconductivity
10 page 9 figures
Scientific paper
10.1103/PhysRevB.74.174516
The Kubo single band sum rule is used to determine the optical spectral weight of a tight binding band with further than nearest neighbour hopping. We find for a wide range of parameters and doping concentrations that the change due to superconductivity at low temperature can be either negative or positive. In contrast, the kinetic energy change is always negative. We use an ARPES determined tight binding parametrization of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ to investigate whether this can account for recent observations of a positive change in the spectral weight due to the onset of superconductivity. With this band structure we find that in the relevant doping regime a straightforward BCS calculation of the optical spectral weight cannot account for the experimental observations.
Carbone Fabrizio
der Marel Dirk van
Kuzmenko A.
Marsiglio Frank
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