The role of the Berry Phase in Dynamical Jahn-Teller Systems

Details The role of the Berry Phase in Dynamical Jahn-Teller Systems The role of the Berry Phase in Dynamical Jahn-Teller Systems

1998-06-16

arxiv.org/abs/cond-mat/9806196v1

J. Phys.: Condens. Matter 38, 8485 (1998)

Physics

Condensed Matter

Materials Science

revtex 7 pages, 2 eps figures included

Scientific paper

10.1088/0953-8984/10/38/009

The presence/absence of a Berry phase depends on the topology of the manifold of dynamical Jahn-Teller potential minima. We describe in detail the relation between these topological properties and the way the lowest two adiabatic potential surfaces get locally degenerate. We illustrate our arguments through spherical generalizations of the linear T x h and H x h cases, relevant for the physics of fullerene ions. Our analysis allows us to classify all the spherical Jahn-Teller systems with respect to the Berry phase. Its absence can, but does not necessarily, lead to a nondegenerate ground state.

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