English

Interference and k-point sampling in the supercell approach to phase-coherent transport

Mesoscale and Nanoscale Physics 2009-11-10 v2 Materials Science

Abstract

We present a systematic study of interference and k-point sampling effects in the supercell approach to phase-coherent electron transport. We use a representative tight-binding model to show that interference between the repeated images is a small effect compared to the error introduced by using only the Gamma-point for a supercell containing (3,3) sites in the transverse plane. An insufficient k-point sampling can introduce strong but unphysical features in the transmission function which can be traced to the presence of van Hove singularities in the lead. We present a first-principles calculation of the transmission through a Pt contact which shows that the k-point sampling is also important for realistic systems.

Keywords

Cite

@article{arxiv.cond-mat/0411589,
  title  = {Interference and k-point sampling in the supercell approach to phase-coherent transport},
  author = {K. S. Thygesen and K. W. Jacobsen},
  journal= {arXiv preprint arXiv:cond-mat/0411589},
  year   = {2009}
}

Comments

4 pages, 5 figures. Accepted for Phys. Rev. B (Brief Report)