Fullerenic solitons

Abstract

We study a modified non-linear Schroedinger equation on a 2 dimensional sphere with radius R aiming to describe electron-phonon interactions on fullerenes and fullerides. These electron-phonon interactions are known to be important for the explanation of the high transition temperature of superconducting fullerides. Like in the $R\to \infty$ limit, we are able to construct non-spinning as well as spinning solutions which are characterised by the number of nodes of the wave function. These solutions are closely related to the spherical harmonic functions. For small R, we discover specific branches of the solutions. Some of the branches survive in the $R\to \infty$ limit and the solutions obtained on the plane ($R=\infty$) are recovered.

arXiv comment13 Revtex pages, 8 ps-figures; v1: Abstract and Introduction extended, references added

References in corpus (5)

• Superconductivity in Fullerides
• Spinning Q-Balls
• Lattice distortion and energy level structures in doped C_{60} and C_{70} studied with the extended Su-Schrieffer-Heeger model: Polaron excitations and optical absorption
• Electrons on Hexagonal lattices and applications to nanotubes
• Skyrmions on the Two-Sphere

Cited by in corpus (1)

• Wavepacket spreading dynamics under a non-instantaneous nonlinearity: Self-trapping, defocusing and focusing