Vibronic Ground-state Degeneracies and the Berry Phase: A Continuous Symmetry Perspective

Abstract

We develop a geometric construction to prove the inevitability of the electronic ground-state (adiabatic) Berry phase for a class of Jahn-Teller models with maximal continuous symmetries and N > 2 intersecting electronic states. Given that vibronic ground-state degeneracy in JT models may be seen as a consequence of the electronic Berry phase, and that any JT problem may be obtained from the subset we investigate in this letter by symmetry-breaking, our arguments reveal the fundamental origin of the vibronic ground-state degeneracy of JT models.

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• Molecular geometric phase from the exact electron-nuclear factorization
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Cited by in corpus (3)

• Nonadiabatic phenomena in molecular vibrational polaritons
• Radiative Emission of Polaritons Controlled by Light-Induced Geometric Phase
• Continuous vibronic symmetries in Jahn-Teller models