English

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

Strongly Correlated Electrons 2025-05-09 v2

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.

Keywords

Cite

@article{arxiv.2412.17770,
  title  = {Precursors to Anderson Localization in the Holstein Model: Quantum and Quantum-Classical Solutions},
  author = {Petar Mitrić and Vladimir Dobrosavljević and Darko Tanasković},
  journal= {arXiv preprint arXiv:2412.17770},
  year   = {2025}
}

Comments

13 pages, 8 figures