On the applicability of the two-band model to describe transport across n-p junctions in bilayer graphene
arXiv:1001.1650 · doi:10.1016/j.ssc.2009.12.032
Abstract
We extend the low-energy effective two-band Hamiltonian for electrons in bilayer graphene (E. McCann, V. I. Fal'ko, Phys. Rev. Lett. 96 (2006) 86805) to include a spatially dependent electrostatic potential. We find that this Hamiltonian contains additional terms, as compared to the one used earlier in the analysis of electronic transport in n-p junctions in bilayers (M. I. Katsnelson et al., Nat. Phys. 2 (2006) 620-625). However, for potential steps |u| < γ_1 (where γ_1 is the interlayer coupling), the corrections to the transmission probability due to such terms are small. For the angle-dependent transmission T (θ) we find T (θ) ~= sin^2(2 θ) - (2 u/ 3 γ_1) sin(4 θ) sin(θ), which slightly increases the Fano factor: F ~= 0.241 for u = 40 meV.
4 pages, 5 figures. To be published in Solid State Communications
References in corpus (15)
- Chiral tunneling and the Klein paradox in graphene
- Landau level degeneracy and quantum Hall effect in a graphite bilayer
- Asymmetry gap in the electronic band structure of bilayer graphene
- Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
- Quantum-limited shot noise in graphene
- Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
- Evidence of Klein tunneling in graphene p-n junctions
- Transport measurements across a tunable potential barrier in graphene
- Ballistic transmission through a graphene bilayer
- Conductance of p-n-p graphene structures with 'air-bridge' top gates
- Nonlinear screening and ballistic transport in a graphene p-n junction
- Caustics due to Negative Refractive Index in Circular Graphene p-n Junctions
- Effect of disorder on a graphene p-n junction
- Contact resistance and shot noise in graphene transistors
- Electron Flow in Circular n-p Junctions of Bilayer Graphene
Cited by in corpus (6)
- The electronic properties of bilayer graphene
- Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices
- Conductance anomaly near the Lifshitz transition in strained bilayer graphene
- Intraband electron focusing in bilayer graphene
- Reversal of Klein reflection in bilayer graphene
- One-dimensional plasmons confined in bilayer graphene p-n junctions