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From electron to small polaron: an exact cluster solution

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journal contribution
posted on 2009-02-27, 13:08 authored by A.S. Alexandrov
We perform the exact diagonalization of two, four, and six vibrating molecules strongly coupled with one electron to show that a small polaron describes both adiabatic and nonadiabatic regimes. Electron spectra are derived and compared with the adiabatic Holstein approximation and with the Lang-Firsov canonical transformation in a wide range of the adiabatic parameter and the coupling strength. We show that the self-consistent Migdal approximation is violated at an intermediate value of the coupling constant λ≃1 and the adiabatic or nonadiabatic small polaron is the ground state for the intermediate and strong coupling λ>1. The phonon frequencies are calculated for a wide range of the coupling, including the intermediate region.

History

School

  • Science

Department

  • Physics

Citation

ALEXANDROV, A.S., 1994. From electron to small polaron: an exact cluster solution. Physical Review B, 49 (14), pp. 9915 - 9923

Publisher

© American Physical Society

Version

  • VoR (Version of Record)

Publication date

1994

Notes

This article was published in the journal Physical Review B [© American Physical Society]. The definitive version is available at: http://link.aps.org/doi/10.1103/PhysRevB.49.9915

ISSN

1098-0121

Language

  • en

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