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

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arxiv 2412.17770 v2 pith:HIHQLZE7 submitted 2024-12-23 cond-mat.str-el

Petar Mitrić , Vladimir Dobrosavljević , Darko Tanasković This is my paper · ORCID
classification cond-mat.str-el
keywords localizationpeakquantumquantum-classicalandersonholsteinmethodmobility
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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.

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  1. Charge transport limited by nonlocal electron-phonon interaction. I. Hierarchical equations of motion approach

    cond-mat.str-el 2025-01 conditional novelty 6.0 of 10

    HEOM auxiliaries are expressed through phonon operators, the generalized Wick theorem is proved, and exact mobility is computed for the 1D Peierls model.

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