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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2017
- DOI:
- 10.48550/arXiv.1706.00039
- arXiv:
- arXiv:1706.00039
- Bibcode:
- 2017arXiv170600039R
- Keywords:
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- Quantum Physics;
- Condensed Matter - Other Condensed Matter;
- Physics - Chemical Physics
- E-Print:
- The Journal of Physical Chemistry Letters 9(1), 242 (2018)