English

Microscopic origin of the Drude-Smith model

Mesoscale and Nanoscale Physics 2017-12-06 v2 Optics

Abstract

The Drude-Smith model has been used extensively in fitting the THz conductivities of nanomaterials with carrier confinement on the mesoscopic scale. Here, we show that the conventional 'backscattering' explanation for the suppression of low-frequency conductivities in the Drude-Smith model is not consistent with a confined Drude gas of classical non-interacting electrons and we derive a modified Drude-Smith conductivity formula based on a diffusive restoring current. We perform Monte Carlo simulations of a model system and show that the modified Drude-Smith model reproduces the extracted conductivities without free parameters. This alternate route to the Drude-Smith model provides the popular formula with a more solid physical foundation and well-defined fit parameters.

Keywords

Cite

@article{arxiv.1705.10350,
  title  = {Microscopic origin of the Drude-Smith model},
  author = {Tyler L. Cocker and Devin Baillie and Miles Buruma and Lyubov V. Titova and Richard D. Sydora and Frank Marsiglio and Frank A. Hegmann},
  journal= {arXiv preprint arXiv:1705.10350},
  year   = {2017}
}

Comments

18 pages, 8 figures, accepted to PRB, various changes and clarifications

R2 v1 2026-06-22T20:02:39.482Z