Breakdown of the Wiedemann-Franz law in AB-stacked bilayer graphene

Abstract

We present a simple theory of thermoelectric transport in bilayer graphene and report our results for the electrical resistivity, the thermal resistivity, the Seebeck coefficient, and the Wiedemann-Franz ratio as functions of doping density and temperature. In the absence of disorder, the thermal resistivity tends to zero as the charge neutrality point is approached; the electric resistivity jumps from zero to an intrinsic finite value, and the Seebeck coefficient diverges in the same limit. Even though these results are similar to those obtained for single-layer graphene, their derivation is considerably more delicate. The singularities are removed by the inclusion of a small amount of disorder, which leads to the appearance of a "window" of doping densities $0<n<n_c$ (with $n_c$ tending to zero in the zero-disorder limit) in which the Wiedemann-Franz law is severely violated.

5 pages, 2 figures. arXiv admin note: text overlap with arXiv:1811.08914

References in corpus (7)

• The electronic properties of bilayer graphene
• Hydrodynamics of electrons in graphene
• Quantum critical transport in clean graphene
• Quantum-critical relativistic magnetotransport in graphene
• Hydrodynamics in graphene: Linear-response transport
• Kinetic theory of transport for inhomogeneous electron fluids
• The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime

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