Demonstration of one-parameter scaling at the Dirac point in graphene

Details Demonstration of one-parameter scaling at the Dirac point in graphene Demonstration of one-parameter scaling at the Dirac point in graphene

2007-05-07

arxiv.org/abs/0705.0886v2

Phys.Rev.Lett. 99, 106801 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures; v2: introduction expanded, data for Gaussian model extended to larger system sizes to further demonstrate

Scientific paper

10.1103/PhysRevLett.99.106801

We numerically calculate the conductivity $\sigma$ of an undoped graphene sheet (size $L$) in the limit of vanishingly small lattice constant. We demonstrate one-parameter scaling for random impurity scattering and determine the scaling function $\beta(\sigma)=d\ln\sigma/d\ln L$. Contrary to a recent prediction, the scaling flow has no fixed point ($\beta>0$) for conductivities up to and beyond the symplectic metal-insulator transition. Instead, the data supports an alternative scaling flow for which the conductivity at the Dirac point increases logarithmically with sample size in the absence of intervalley scattering -- without reaching a scale-invariant limit.

Affiliated with

Also associated with

No associations

Rating

Demonstration of one-parameter scaling at the Dirac point in graphene does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Demonstration of one-parameter scaling at the Dirac point in graphene, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Demonstration of one-parameter scaling at the Dirac point in graphene will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-598493