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Relevant coherent states method for the quantum adiabatic dynamics of lattice-coupled charge carriers

O. S. Barišić

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A new numerical method is proposed for determining the low-frequency dynamics of the charge carrier coupled to the deformable quantum lattice. As an example, the polaron band structure is calculated for the one-dimensional Holstein model. The adiabatic limit on the lattice, which cannot be reached by other approaches, is investigated. In particular, an accurate description is obtained of the crossover between quantum small adiabatic polarons, pinned by the lattice, and large adiabatic polarons, moving along the continuum as classical particles. It is shown how the adiabatic contributions to the polaron dispersion, involving spatial correlations over multiple lattice sites, can be treated easily in terms of coherent states.


PACS

63.20.K- Phonon interactions

71.38.-k Polarons and electron-phonon interactions

Subjects

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Dates

Issue 5 (March 2007)

Received 12 September 2006, in final form 9 January 2007

Published 20 February 2007



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