Geometric phases and time-odd coupling in Jahn-Teller systems

Mattias T. Johnsson*, Geoffrey E. Stedman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Time-odd (momentum) coupling between the nuclear and electronic wavefunctions in Jahn-Teller systems, although smaller than the traditional time-even (electrostatic) coupling terms, can dramatically change the geometric phase. In the cubic E ⊗ ε system, whose geometrical phase is a multiple of π, time-odd coupling of modes with A2a symmetry gives a three-dimensional parameter space and arbitrary geometrical phases. We show that for equal coupling the geometric vector potential takes the form of a monopole and hence that (as in the time-even case) the nuclear angular momentum for the system is shifted from integer to half-integer values.

Original languageEnglish
Pages (from-to)787-797
Number of pages11
JournalJournal of Physics Condensed Matter
Issue number3
Publication statusPublished - 1999
Externally publishedYes


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