Electron-phonon interaction in the solid form of the smallest fullerene C$_{20}$

Details Electron-phonon interaction in the solid form of the smallest fullerene C$_{20}$ Electron-phonon interaction in the solid form of the smallest fullerene C$_{20}$

2002-03-08

arxiv.org/abs/cond-mat/0203185v1

Physics

Condensed Matter

Materials Science

7 pages

Scientific paper

10.1209/epl/i2002-00384-1

The electron-phonon coupling of a theoretically devised carbon phase made by assembling the smallest fullerenes C$_{20}$ is calculated from first principles. The structure consists of C$_{20}$ cages in an {\it fcc} lattice interlinked by two bridging carbon atoms in the interstitial tetrahedral sites ({\it fcc}-C$_{22}$). The crystal is insulating but can be made metallic by doping with interstitial alkali atoms. In the compound NaC$_{22}$ the calculated coupling constant $\lambda/N(0)$ is 0.28 eV, a value much larger than in C$_{60}$, as expected from the larger curvature of C$_{20}$. On the basis of the McMillan's formula, the calculated $\lambda$=1.12 and a $\mu^*$ assumed in the range 0.3-0.1 a superconducting T$_c$ in the range 15-55 K is predicted.

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