Finite-size scaling in a 2D disordered electron gas with spectral nodes
arXiv:1602.02786 · doi:10.1088/0953-8984/28/30/305701
Abstract
We study the DC conductivity of a weakly disordered 2D electron gas with two bands and spectral nodes, employing the field theoretical version of the Kubo--Greenwood conductivity formula. Disorder scattering is treated within the standard perturbation theory by summing up ladder and maximally crossed diagrams. The emergent gapless (diffusion) modes determine the behavior of the conductivity on large scales. We find a finite conductivity with an intermediate logarithmic finite-size scaling towards smaller conductivities but do not obtain the logarithmically divergence of the weak-localization approach. Our results agree with the experimentally observed logarithmic scaling of the conductivity in graphene with the formation of a plateau near .
10 pages, 3 figures. Published without changes
References in corpus (15)
- Control of graphene's properties by reversible hydrogenation
- Measurement of Scattering Rate and Minimum Conductivity in Graphene
- Weak localisation magnetoresistance and valley symmetry in graphene
- Defect scattering in graphene
- Exceptional ballistic transport in epitaxial graphene nanoribbons
- How close can one approach the Dirac point in graphene experimentally?
- On electron (anti)localization in graphene
- Random gap model for graphene and graphene bilayers
- Localization of charge carriers in monolayer graphene gradually disordered by ion irradiation
- Diffusion in the random gap model of mono- and bilayer graphene
- Transport in finite graphene samples
- Renormalized transport properties of randomly gapped 2D Dirac fermions
- Two-parameter scaling theory of transport near a spectral node
- Linear response peculiarity of a two--dimensional Dirac electron gas at weak scattering
- Weak-localization approach to a 2D electron gas with a spectral node