By Olle Gunnarsson
Alkali-doped fullerides have attracted robust curiosity because their construction turned attainable approximately fifteen years in the past. This e-book provides contemporary paintings which could remedy interesting difficulties coming up from numerous awesome houses. 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. furthermore, the IoffeвЂ“Regel situation for electric conductivity is strongly violated. The e-book indicates why superconductivity is however attainable, due to an area pairing mechanism. The IoffeвЂ“Regel situation is derived quantum-mechanically, and it's defined why the underlying assumptions are violated for fullerides and high-Tc cuprates, for instance. The ebook treats digital and delivery homes, reviewing theoretical and experimental effects. It makes a speciality of 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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Additional resources for Alkali-Doped Fullerides: Narrow-Band Solids with Unusual Properties
11 Schematic representation of various phonons in A 3 C 6 o compounds. The figure shows, from left to right, (a) librations, (b) intermolecular C 6 o-C 6 o phonons, (c) AC6o phonons and (d)-(e) intramolecular H 9 modes. The figure indicates the radial and tangential character of the low-lying and and high-lying H 9 modes, respectively (After Hebard 1 1 1 ). correspondingly. The multiplet effects are often neglected, because they cause a substantial complication of the calculations. The estimates above suggest, however, that these effects are important.
The result is an effective contribution to the hopping between molecules. Thus there is a contribution to the hopping between the mth t\u orbital on the molecule at Ri and the m th orbital on the molecule at Rj E t- • tima £ tlu jm a _ £ /n -IQ\ S where the sum is over the alkali atoms closest to the two Ceo molecules, and tima is the hopping matrix element between the t\u orbital m on the molecule at Ri and the s-orbital on the alkali atom a. 79 Fig. 7 compares this tight-binding calculation with the full LDA band structure calculation.
7 eV. 3 eV. 25). 25), the two electrons in C^Q" adjust to have minimum interaction. 25), which should also be appropriate for the doped case. 1 Coulomb interaction interaction 27 in solid Ceo Theoretical estimates Above we considered a free molecule. We now turn to a Ceo solid. In this case U is strongly screened by the polarization of the surrounding molecules. ,90 and insert the Ceo molecules in an fee lattice and assign a polarizability a to each molecule. An electron is added to the central molecule, and the surrounding molecules are allowed to be polarized in a self-consistent way, both by the electron on the central molecule and by the polarization of the molecules themselves.