Lifshitz transition and thermoelectric properties of bilayer graphene

Abstract

This is a numerical study of thermoelectric properties of ballistic bilayer graphene in the presence of trigonal warping term in the effective Hamiltonian. We find, in the mesoscopic samples of the length $L>10\mu$m at sub-Kelvin temperatures, that both the Seebeck coefficient and the Lorentz number show anomalies (the additional maximum and minimum, respectively) when the electrochemical potential is close to the Lifshitz energy, which can be attributed to the presence of the van Hove singularity in a bulk density of states. At higher temperatures the anomalies vanish, but measurable quantities characterizing remaining maximum of the Seebeck coefficient still unveil the presence of massless Dirac fermions and make it possible to determine the trigonal warping strength. Behavior of the thermoelectric figure of merit ($ZT$) is also discussed.

Typos corrected. RevTeX, 11 pages, 8 figures

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Cited by in corpus (9)

• Evidence of Lifshitz transition in thermoelectric power of ultrahigh mobility bilayer graphene
• Wiedemann-Franz law for massless Dirac fermions with implications for graphene
• Thermoelectric properties of gapped bilayer graphene
• Thermal transport driven by charge imbalance in graphene in magnetic field, close to the charge neutrality point at low temperature: Non local resistance
• Second and third harmonics generation by coherent sub-THz radiation at induced Lifshitz transitions in gapped bilayer graphene
• Thermoelectric properties of the Corbino disk in graphene
• Conductivity scaling and the effects of symmetry-breaking terms in bilayer graphene Hamiltonian
• Sub-Sharvin conductance and incoherent shot-noise in graphene disks at magnetic field
• Quantum transport of Dirac fermions in selected graphene nanosystems away from the charge-neutrality point