Simple Band Model of Doped Fullerene Crystal

Abstract

We use quantum billiard with many scattering centers to describe conducting electrons properties in AnC60 crystals, where A denotes alkali metal.We focus our attention on the A3 C60 crystal, for which we calculate the band structure, density of states, and conductivity for normal electrons. Conductivity shows linear dependence on temperature in this model, which agrees well with experimental data. We also discuss consequences of our results for superconductivity mechanism in A3 C60 and possibilities of analogous approach to describe electron properties in fused fullerenes and multiply connected carbon clusters.

On Electrons in Quantum Chaos State in Doped Fullerene Crystal

“…This result (high quantum chaos) agrees well with expectation that the electron transport in Á3C60 can be controlled by quantum critical point [7]. Other implications of the model are discussed elsewhere [8]. .…”