The $E\otimes e$ Jahn-Teller Polaron in Comparison with the Holstein Polaron

Details The $E\otimes e$ Jahn-Teller Polaron in Comparison with the Holstein Polaron The $E\otimes e$ Jahn-Teller Polaron in Comparison with the Holstein Polaron

1999-11-25

arxiv.org/abs/cond-mat/9911404v1

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevB.61.8631

Based on an exact expression for the self-energy of the Jahn-Teller polaron, we find that symmetry of pseudospin rotation makes the vertex correction much less effective than that for the Holstein polaron. This ineffectiveness brings about a smaller effective mass m^* and a quantitatively differenent large-to-small polaron crossover, as examined by exact diagonalization in a two-site system. In the strong-coupling and antiadiabatic region, a rigorous analytic expression is found for m^*.

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