Pseudodiffusive conductance, quantum-limited shot noise, and Landau-level hierarchy in a biased graphene bilayer

Grzegorz Rut and Adam Rycerz
Phys. Rev. B 89, 045421 – Published 22 January 2014

Abstract

We discuss, by means of mode-matching analysis for the Dirac equation, how splittings of the Landau-level (LL) degeneracies associated with spin, valley, and layer degrees of freedom affect the ballistic conductance of graphene bilayer. The results show that for wide samples (WL) the Landauer-Büttiker conductance reaches the maximum Gse2/(πh)×W/L at the resonance via each LL, with the prefactor varying from s=8 if all three degeneracies are preserved, to s=1 if all the degeneracies are split. In the absence of bias between the layers, the degeneracies associated with spin and layer degrees of freedom may be split by manipulating the doping and magnetic field; the conductance at the zeroth LL is twice as large, while the conductance at any other LL equals to the corresponding conductance of graphene monolayer. The presence of bias potential allows one also to split the valley degeneracy. Our results show that the charge transfer at each LL has pseudodiffusive character, with the second and third cumulant quantified by F=1/3 and R=1/15 (respectively). In case the electrochemical potential is allowed to slowly fluctuate in a finite vicinity of LL, the resulting charge-transfer characteristics are still quantum limited, with F0.7 and R0.5 in the limit of large fluctuations. Analogously, the above values of F and R are predicted to be approached in the limit of high source-drain voltage difference applied. The possible effects of indirect interlayer hopping integrals are also briefly discussed.

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  • Received 26 July 2013
  • Revised 2 January 2014

DOI:https://doi.org/10.1103/PhysRevB.89.045421

©2014 American Physical Society

Authors & Affiliations

Grzegorz Rut and Adam Rycerz

  • Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, PL-30059 Kraków, Poland

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Issue

Vol. 89, Iss. 4 — 15 January 2014

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