Correlated Fermions Close to Mott Localization: Deviations from Landau Fermi-Liquid Picture

Using the transfer matrix in the angular-momentum space we investigate the impact of trigonal warping on magnetotransport and scaling properties of a ballistic bilayer graphene in the Corbino geometry. Although the conductivity at the charge-neutrality point and zero magnetic field exhibits a one-parameter scaling, the shot-noise characteristics, quantified by the Fano factor F and the third charge-transfer cumulant R, remain pseudodiffusive. This shows that the pseudodiffusive transport regime in bilayer graphene is not related to the universal value of the conductivity but can be identified by higher charge-transfer cumulants. For Corbino disks with larger radii ratios the conductivity is suppressed by the trigonal warping, mainly because the symmetry reduction amplifies backscattering for normal modes corresponding to angular-momentum eigenvalues ±2 . Weak magnetic fields enhance the conductivity, reaching the maximal value near the crossover field BL = 4 3 √ 3 ( /e) t t ⊥ t 2 0 a(Ro −Ri) −1 , where t0 (t ⊥ ) is the nearest-neighbor intra-(inter-) layer hopping integral, t is the skew-interlayer hopping integral, and Ro (Ri) is the outer (inner) disk radius. For magnetic fields B BL we observe quasiperiodic conductance oscillations characterized by the decreasing mean value σ − σ0 ∝ BL/B, where σ0 = (8/π) e 2 /h. The conductivity, as well as higher charge-transfer cumulants, show beating patterns with an envelope period proportional to B/BL. This constitutes a qualitative difference between the high-field (B BL) magnetotransport in the t = 0 case (earlier discussed in Ref. [1]) and in the t = 0 case, providing a finite-system analog of the Lifshitz transition.

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Trigonal warping, pseudodiffusive transport, and finite-system version of the Lifshitz transition in magnetoconductance of bilayer graphene Corbino disks

Rut

Rycerz

2016

Phys. Rev. B

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Correlated Fermions Close to Mott Localization: Deviations from Landau Fermi-Liquid Picture

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Trigonal warping, pseudodiffusive transport, and finite-system version of the Lifshitz transition in magnetoconductance of bilayer graphene Corbino disks

Trigonal warping, pseudodiffusive transport, and finite-system version of the Lifshitz transition in magnetoconductance of bilayer graphene Corbino disks

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