Berry’s geometrical phase and the sequence of states in the Jahn-Teller effect

作者：Frank S. Ham · 发表于：Physical Review Letters · 年份：1987 · DOI：10.1103/physrevlett.58.725 · 被引用次数：193 · 研究领域：Quantum and electron transport phenomena、Advanced Chemical Physics Studies、Molecular Junctions and Nanostructures

A proof is given for the Jahn-Teller problem of an orbital doublet (E\ensuremath{\bigotimes}\ensuremath{\epsilon}) that the order of the lowest vibronic levels is fixed by the requirement that the vibrational part of the wave function change sign under 2\ensuremath{\pi} rotation in the vibrational coordinates. This sign change in turn is a consequence of the sign change in the electronic part of the wave function, a special case of Berry's geometrical phase. Experimental confirmation of this sign change and thus of Berry's phase is available from studies of Jahn-Teller defects in crystals that reveal the sequence of these lowest levels.