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Topological Chern indices in molecular spectra

Frederic Faure·Boris Zhilinskii
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Abstract

Topological Chern indices are related to the number of rotational states in each molecular vibrational band. Modification of the indices is associated to the appearance of ``band degeneracies'', and exchange of rotational states between two consecutive bands. The topological dynamical origin of these indices is proven through a semi-classical approach, and their values are computed in two examples. The relation with the integer quantum Hall effect is briefly discussed.

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Frederic Faure, Boris Zhilinskii. 1999-12-20. Topological Chern indices in molecular spectra. https://doi.org/10.1103/physrevlett.85.960

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