English

Hartman effect and spin precession in graphene

Mesoscale and Nanoscale Physics 2009-12-24 v3

Abstract

Spin precession has been used to measure the transmission time \tau over a distance L in a graphene sheet. Since conduction electrons in graphene have an energy-independent velocity v, one would expect \tau > L/v. Here we calculate that \tau < L/v at the Dirac point (= charge neutrality point) in a clean graphene sheet, and we interpret this result as a manifestation of the Hartman effect (apparent superluminality) known from optics.

Keywords

Cite

@article{arxiv.0910.2657,
  title  = {Hartman effect and spin precession in graphene},
  author = {R. A. Sepkhanov and M. V. Medvedyeva and C. W. J. Beenakker},
  journal= {arXiv preprint arXiv:0910.2657},
  year   = {2009}
}

Comments

6 pages, 4 figures; v2: added a section on the case of perpendicularly aligned magnetizations; v3: added a figure

R2 v1 2026-06-21T13:58:16.073Z