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• W2078805903 startingPage "6208" @default.
• W2078805903 abstract "We present a detailed numerical study of the one-dimensional Holstein model with a view to understanding the self-trapping process of electrons or excitons in crystals with short-range particle-lattice interactions. Applying a very efficient variational Lanczos method, we are able to analyze the ground-state properties of the system in the weak- and strong-coupling, adiabatic and nonadiabatic regimes on lattices large enough to eliminate finite-size effects. In particular, we obtain the complete phase diagram and comment on the existence of a critical length for self-trapping in finite (closed) one-dimensional systems. In order to characterize large and small polaron states we calculate self-consistently the lattice distortions and the particle-phonon correlation functions. In the strong-coupling case, two distinct types of small polaron states are shown to be possible according to the relative importance of static displacement field and dynamic polaron effects. Special emphasis is on the intermediate-coupling regime, which we also study by means of direct diagonalization, preserving the full dynamics and quantum nature of phonons. The crossover from large to small polarons shows up in a strong decrease of the kinetic energy accompanied by a substantial change in the optical absorption spectra. We show that our numerical results in all important limiting cases reveal excellent agreement with both analytical perturbation theory predictions and very recent density matrix renormalization group data." @default.
• W2078805903 created "2016-06-24" @default.
• W2078805903 creator A5056729987 @default.
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• W2078805903 date "1998-09-01" @default.
• W2078805903 modified "2023-10-15" @default.
• W2078805903 title "Self-trapping problem of electrons or excitons in one dimension" @default.
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• W2078805903 doi "https://doi.org/10.1103/physrevb.58.6208" @default.
• W2078805903 hasPublicationYear "1998" @default.
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