Vibronic ground-state degeneracies and the Berry phase: a continuous symmetry perspective

RF Ribeiro, J Yuen-Zhou - The Journal of Physical Chemistry …, 2018 - ACS Publications
The Journal of Physical Chemistry Letters, 2018ACS Publications
We develop a geometric construction to prove the inevitability of the electronic ground-state
(adiabatic) Berry phase for a class of Jahn–Teller (JT) 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 that we investigate in this Letter by
symmetry-breaking, our arguments reveal the fundamental origin of the vibronic ground …
We develop a geometric construction to prove the inevitability of the electronic ground-state (adiabatic) Berry phase for a class of Jahn–Teller (JT) 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 that we investigate in this Letter by symmetry-breaking, our arguments reveal the fundamental origin of the vibronic ground-state degeneracy of JT models.
ACS Publications