Localization and Kosterlitz-Thouless Transition in Disordered Graphene
arXiv:0810.1996 · doi:10.1103/PhysRevLett.102.106401
Abstract
We investigate disordered graphene with strong long-range impurities. Contrary to the common belief that delocalization should persist in such a system against any disorder, as the system is ex-pected to be equivalent to a disordered two-dimensional Dirac Fermionic system, we find that states near the Dirac points are localized for sufficiently strong disorder and the transition between the localized and delocalized states is of Kosterlitz-Thouless type. Our results show that the transition originates from bounding and unbounding of local current vortices.
5 pages, 4 figures
References in corpus (12)
- Chiral tunneling and the Klein paradox in graphene
- Transport measurements across a tunable potential barrier in graphene
- Disorder Induced Localized States in Graphene
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
- Topological delocalization of two-dimensional massless Dirac fermions
- Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
- Low energy theory of disordered graphene
- Conductivity and Fano factor in disordered graphene
- Density inhomogeneity driven percolation metal-insulator transition and dimensional crossover in graphene nanoribbons
- Spatial distribution of local currents of massless Dirac fermions in quantum transport through graphene nanoribbons
- Anderson localization of electron states in graphene in different types of disorder
- Quantum Blockades and Loop Currents in Graphene with Topological Defects