English

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

Quantum Physics 2018-01-12 v3 Other Condensed Matter Chemical Physics

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.

Keywords

Cite

@article{arxiv.1706.00039,
  title  = {Vibronic Ground-state Degeneracies and the Berry Phase: A Continuous Symmetry Perspective},
  author = {Raphael F. Ribeiro and Joel Yuen-Zhou},
  journal= {arXiv preprint arXiv:1706.00039},
  year   = {2018}
}