Berry Phase and the Symmetry of the Vibronic Ground State in Dynamical Jahn-Teller Systems

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Due to the frequent presence of a Berry phase, in most cases of dynamical Jahn-Teller systems the symmetry of the ground state is the same as that of the electronic state. However, the H x h icosahedral case, relevant for the physics of fullerene ions, provides a first example of linear coupling leading, at strong coupling, to a change in symmetry of the ground state to a totally symmetric nondegenerate state. We generalize this observation and show through detailed examples that the absence of a Berry phase can, but does not necessarily, lead to a nondegenerate ground state.
latex2e, 10 pagg., World Scientific style file included. Proceedings of the XIV International Symposium on Electron-Phonon Dynamics and Jahn-Teller Effect, Erice, Italy, July 7-13, 1998

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