Electron-Phonon Correlations, Polaron Size, and the Nature of the Self-Trapping Transition

Details Electron-Phonon Correlations, Polaron Size, and the Nature of the Self-Trapping Transition Electron-Phonon Correlations, Polaron Size, and the Nature of the Self-Trapping Transition

1999-05-12

arxiv.org/abs/cond-mat/9905174v1

Physics Letters A Vol. 266, pgs. 414-420 (2000).

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1016/S0375-9601(00)00030-X

We analyze electron-phonon correlation functions measured in 1D polaron ground states of the Holstein Hamiltonian using the Global-Local variational method. The spatial collapse of electron-phonon correlations is found to occur in concert with transition behavior in other polaron properties, providing mutually confirming evidence for a self-trapping line in 1D. The spatial extent of electron-phonon correlations is used to quantify polaron size, and is analyzed over a wide range of parameters. Distinct scaling behaviors are found to be characteristic of the region below the self-trapping transition and above it, contrary to some widely-held expectations and leading naturally to the notion of the polaron size as an order parameter for a self-trapping transition that becomes critical in the adiabatic limit.

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