On Electrons in Quantum Chaos State in Doped Fullerene Crystal

We show that band electrons in A$\text{}_{n}$C$\text{}_{60}$ crystal (C$\text{}_{60}$ fullerene doped with alkali ions A) are in highly chaotic quantum state. We describe intensity of the chaos by means of the Shannon information entropy, which we calculate using single particle Bloch functions. The entropy provides a quantitative measure of scars as well as degree of electrons delocalization in gaps between C$\text{}_{60}$ molecules. Implications of our results for conductivity in A$\text{}_{3}$C$\text{}_{60}$ are discussed.