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Fullerenic solitons

Journal of Physics A: Mathematical and General, ISSN: 0305-4470, Vol: 37, Issue: 4, Page: 1181-1192
2004
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Article Description

We study a modified nonlinear Schrödinger equation on a two-dimensional sphere with radius R with the aim of describing 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. As in the R → ∞ limit, we are able to construct non-spinning as well as spinning solutions which are characterized by the number of nodes of the wavefunction. 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 → ∞ limit and the solutions obtained on the plane (R = ∞) are recovered.

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