HEOM auxiliaries are expressed through phonon operators, the generalized Wick theorem is proved, and exact mobility is computed for the 1D Peierls model.
Precursors to Anderson Localization in the Holstein Model: Quantum and Quantum-Classical Solutions
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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.
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Charge transport limited by nonlocal electron-phonon interaction. I. Hierarchical equations of motion approach
HEOM auxiliaries are expressed through phonon operators, the generalized Wick theorem is proved, and exact mobility is computed for the 1D Peierls model.