Precursors to Anderson Localization in the Holstein Model: Quantum and Quantum-Classical Solutions

Abstract

We calculate the frequency-dependent mobility of the Holstein polaron in one dimension near adiabatic limit using the method based on dynamical quantum tipicality, as well as the quantum-classical method. The agreement between fully quantum and quantum-classical solutions is very good. The most prominent feature is the appearance of a zero-frequency peak in the mobility, in addition to the displaced peak associated to the precursors of Anderson localization. The zero-frequency peak cannot be obtained within the phenomenological transient localization approach, which is often used in a semiquantitative description of charge transport in quasi-one-dimensional organic semiconductors.

13 pages, 8 figures

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Cited by in corpus (7)

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• Dynamical quantum typicality: Simple method for investigating transport properties applied to the Holstein model
• Mixed Quantum-Classical Methods for Polaron Spectral Functions
• Numerically "exact" charge transport dynamics in a dissipative electron-phonon model rationalizing the success of the transient localization scenario
• Quantum-classical study of charge transport in organic semiconductors with multiple low-frequency vibrational modes
• Applicability of the cumulant expansion method for the calculation of transport properties in electron-phonon systems