Hartman effect and spin precession in graphene

Details Hartman effect and spin precession in graphene Hartman effect and spin precession in graphene

2009-10-14

arxiv.org/abs/0910.2657v3

Phys. Rev. B 80, 245433 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.80.245433

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.

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