By Olle Gunnarsson
Alkali-doped fullerides have attracted robust curiosity seeing that their construction turned attainable approximately fifteen years in the past. This e-book provides contemporary paintings that can resolve fascinating difficulties bobbing up from various notable homes. for instance, those solids are superconductors with excessive transition temperatures, even if the similarity among the digital and phonon strength scales may still suppress superconductivity. in addition, the IoffeвЂ“Regel for electric conductivity is strongly violated. The booklet indicates why superconductivity is however attainable, as a result of an area pairing mechanism. The IoffeвЂ“Regel is derived quantum-mechanically, and it's defined why the underlying assumptions are violated for fullerides and high-Tc cuprates, for instance. The e-book treats digital and delivery homes, reviewing theoretical and experimental effects. It specializes in superconductivity, electric conductivity and metalвЂ“insulator transitions, emphasizing the electronвЂ“electron and electronвЂ“phonon interactions in addition to the JahnвЂ“Teller impression.
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Extra info for Alkali-Doped Fullerides: Narrow-Band Solids with Unusual Properties
We should then make sure that we do not implicitly include effects which are also explicitly included in the model, since this would lead to double counting. More precisely, we will often consider a model where only the t\u electrons are included. We should then implicitly include the screening by all other electrons as a renormalization of U. But Coulomb interaction 25 we should not include the metallic screening by the t\u electrons themselves, since this is normally treated explicitly in the model.
Depends weakly on the ratio of the hopping integrals between two pr orbitals separated by a single and double bond, Vp and Vh, respectively. 91 eV. The coefficient /? } ub 13 /32cg«b Fig. 4 Coefficients of the 2pr atomic orbitals for the bonding hu molecular orbitals |/iu,46) and |/t u ,56). The molecular orbital are odd with respect to reflection in all coordinate planes. Apart from this, the caption of Fig. *2). 211. 7) The remaining two functions \tiu,mb) can be obtained by rotating this function around the threefold axes  and .
To obtain a simple model, we usually only consider the on-site repulsion U. The effective interaction, V, between two electrons on neighboring molecules is substantially smaller, as discussed below, but it is not negligible. The long-range Coulomb interaction plays an important role for the plasmons, as discussed in Chapter 6. Taken literally, these assumptions involve drastic approximations. They would involve neglecting Coulomb integrals which are not small. The assumptions can only be given justification if U and V are treated as effective, renormalized quantities.