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Center for Nonlinear Studies |
Abstract: Basic properties of a new material graphene are reviewed. It is shown how one comes to description of electron motion in terms of a Dirac-like equation. Effects of a general potential disorder on properties of graphene are studied. Writing the Dirac equation, such a disorder is characterized by 5 independent constants and leads to logarithmic corrections to physical quantities. Renormalization group (RG) equations are derived and solved, which allows one to describe the system at comparatively high temperatures. At low temperatures, a non-linear supermatrix sigma-model completely describing localization effects and crossovers between different ensembles is derived. The systems exhibits a rather complicated crossover between antilocalization and localization behaviors.
Host: Razvan Teodorescu (CNLS)