Optical sum rule in metals with a strong interaction

Abstract

The restricted optical sum rule and its dependence on the temperature, a superconducting gap and the cutoff energy have been investigated. As known this sum rule depends on the cutoff energy and the relaxation rate even for a homogeneous electron gas interacting with impurities or phonons. It is shown here that additional dependence of the spectral weight on a superconducting gap is very small in this model and this effect disappears totally when the relaxation rate is equal zero. The model metal with a single band is considered in details. It is well known that for this model there is the dependence of the sum rule on the temperature and the energy gap even in the case when the relaxation is absent. This dependence exists due to the smearing of the electron distribution function and it is expressed in the terms of Sommerfeld expansion. Here it is shown that these effects are considerably smaller than that of related with the relaxation rate if the band width is larger than the average phonon frequency. It is shown also that the experimental data about the temperature dependence of the spectral weight for the high- materials can be successfully explained in the framework approach based on the temperature dependence of the relaxation rate

13 pages, 7 figures, the talk given on Internatinal coference on theoretical physics, april 11-16,2005, Moscow

References in corpus (9)

• Pairing in cuprates from high energy electronic states
• In-Plane Spectral Weight Shift of Charge Carriers in $YB{a}_{2}C{u}_3{O}_{6.9}$
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• The in-plane electrodynamics of the superconductivity in Bi2Sr2CaCu2O8+d: energy scales and spectral weight distribution
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Cited by in corpus (11)

• Electrodynamics of Correlated Electron Materials
• Bosonic Spectral Function and The Electron-Phonon Interaction in HTSC Cuprates
• Effects of Fermi-surface shrinking on the optical sum rule in pnictides
• Optical Integral in the Cuprates and the Question of Sum Rule Violation
• Optical Integral and Sum Rule Violation
• Robustness of the optical-conductivity sum rule in Bilayer Graphene
• Impact of a finite cut-off for the optical sum rule in the superconducting state
• Temperature Dependence of the Conductivity Sum Rule in the Normal State due to Inelastic Scattering
• Optical conductivity for a dimer in the Dynamic Hubbard model
• Observation of the charge density wave collective mode in the infrared optical response of VSe${}_2$
• Optical Sum Rule anomalies in the High-Tc Cuprates