Continuous vibronic symmetries in Jahn-Teller models

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Raphael F Ribeiro, Joel Yuen-Zhou

Abstract

Explorations of the consequences of the Jahn-Teller (JT) effect remain active in solid-state and chemical physics. In this topical review we revisit the class of JT models which exhibit continuous vibronic symmetries. A treatment of these systems is given in terms of their algebraic properties. In particular, the compact symmetric spaces corresponding to JT models carrying a vibronic Lie group action are identified, and their invariants used to reduce their adiabatic potential energy surfaces into orbit spaces of the corresponding Lie groups. Additionally, a general decomposition of the molecular motion into pseudorotational and radial components is given based on the behavior of the electronic adiabatic states under the corresponding motions. We also provide a simple proof that the electronic spectrum for the space of JT minimum-energy structures (trough) displays a universality predicted by the epikernel principle. This result is in turn used to prove the topological equivalence between bosonic (fermionic) JT troughs and real (quaternionic) projective spaces. The relevance of the class of systems studied here for the more common case of JT systems with only discrete point group symmetry, and for generic asymmetric molecular s...Continue Reading

References

Jan 15, 1989·Physical Review A: General Physics·A Ceulemans, P W Fowler
Mar 1, 1990·Physical Review. a·P Lévay
Sep 1, 1996·Physical Review. B, Condensed Matter· De Los Rios PE Tosatti
Mar 1, 1992·Physical Review. B, Condensed Matter·S E ApselM C O'Brien
May 1, 1994·Physical Review. B, Condensed Matter·A AuerbachE Tosatti
Jul 13, 1987·Physical Review Letters·C A Mead
Sep 19, 1988·Physical Review Letters·J E AvronB Simon
May 2, 1994·Physical Review Letters·A Auerbach
Jul 1, 1996·Physical Review Letters·A J MillisR Mueller
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R S Markiewicz
May 1, 2004·Annual Review of Physical Chemistry·Graham A Worth, Lorenz S Cederbaum
Dec 6, 2006·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·Arnout CeulemansQing-Chun Qiu
Jan 12, 2011·Annual Review of Physical Chemistry·Spiridoula Matsika, Pascal Krause
Dec 18, 2013·Physical Review Letters·Ilya G Ryabinkin, Artur F Izmaylov
Nov 26, 2015·Science Advances·Ruth H ZadikKosmas Prassides
Nov 20, 2016·Physical Review Letters·Ryan Requist, E K U Gross
Dec 9, 2017·The Journal of Physical Chemistry Letters·Raphael F Ribeiro, Joel Yuen-Zhou

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Dec 9, 2017·The Journal of Physical Chemistry Letters·Raphael F Ribeiro, Joel Yuen-Zhou

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