Temperature Dependence of the Conductivity Sum Rule in the Normal State due to Inelastic Scattering

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dc.creatorBenfatto, L.
dc.creatorCarbotte, J. P.
dc.creatorMarsiglio, F.
dc.date2006-03-24
dc.date.accessioned2026-07-07T07:52:43Z
dc.date.available2026-07-07T07:52:43Z
dc.descriptionWe examine the temperature dependence of the optical sum rule in the normal state due to interactions. To be concrete we adopt a weak coupling approach which uses an electron-boson exchange model to describe inelastic scattering of the electrons with a boson, in the Migdal approximation. While a number of recent works attribute the temperature dependence in the normal state to that which arises in a Sommerfeld expansion, we show that in a wide parameter regime this contribution can be quite small. Instead, most of the temperature dependence arises from the zeroth order term in the `expansion', through the temperature dependence of the spectral function, and the interaction parameters contained therein. For low boson frequencies this circumstance causes a linear T-dependence in the sum rule. We develop some analytical expressions and understanding of the temperature dependence.
dc.description11 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0603661
dc.identifierhttp://arxiv.org/abs/cond-mat/0603661
dc.identifierPhys. Rev. B 74, 155115 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.155115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125982
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleTemperature Dependence of the Conductivity Sum Rule in the Normal State due to Inelastic Scattering
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