Quantum transport of massless Dirac fermions in graphene
arXiv:cond-mat/0606589 · doi:10.1103/PhysRevLett.98.076602
Abstract
Motivated by recent graphene transport experiments, we have undertaken a numerical study of the conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal distinct differences between the cases of short-range and Coulomb randomly distributed scatterers. We speculate that this behavior is related to the Boltzmann transport theory prediction of dirty-limit behavior for Coulomb scatterers.
arXiv comment4 pages, 1 figure
References in corpus (23)
- Electric Field Effect in Atomically Thin Carbon Films
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Chiral tunneling and the Klein paradox in graphene
- Electronic Properties of Disordered Two-Dimensional Carbon
- Unconventional Integer Quantum Hall effect in graphene
- Weak localisation magnetoresistance and valley symmetry in graphene
- Strong suppression of weak (anti)localization in graphene
- Quantum-limited shot noise in graphene
- Quantum Hall Ferromagnetism in Graphene
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
- Effect of Disorder on Transport in Graphene
- Robust Transport Properties in Graphene
- Low energy theory of disordered graphene
- Quantum Hall Effect of Dirac Fermions in Graphene: Disorder Effect and Phase Diagram
- On electron (anti)localization in graphene
- Gaussian field theories, random Cantor sets and multifractality
- Massless Dirac Fermions, Gauge Fields, and Underdoped Cuprates
- Near Critical States of Random Dirac Fermions
- Scaling near random criticality in two-dimensional Dirac fermions
- Possible Anderson transition below two dimensions in disordered systems of noninteracting electrons
- Quantum transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below
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