English

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

Superconductivity 2009-10-31 v1 Statistical Mechanics

Abstract

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^*.

Keywords

Cite

@article{arxiv.cond-mat/9911404,
  title  = {The $E\otimes e$ Jahn-Teller Polaron in Comparison with the Holstein Polaron},
  author = {Yasutami Takada},
  journal= {arXiv preprint arXiv:cond-mat/9911404},
  year   = {2009}
}