Berry phase mediated topological thermoelectric transport in gapped single and bilayer graphene

Abstract

We consider the anomalous thermoelectric transport in gapped single and bilayer graphene where the gap may be due to broken inversion symmetry. In the presence of the gap, non-trivial Berry phase effects can be shown to mediate a transverse thermoelectric voltage in response to an applied temperature gradient even in the absence of a perpendicular magnetic field. This spontaneous, anomalous Nernst effect is nonzero for non-uniform chemical potential in the two inequivalent valleys in the graphene band structure. Conversely, the Nernst response can be used to create a valley-index polarization between the two transverse sample edges as in the analogous valley Hall effect.

6 pages, 3 figures

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Cited by in corpus (10)

• The study of magnetic topological semimetals by first principles calculations
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Tunable thermoelectricity in monolayers of MoS${}_2$ and other group-VI dichalcogenides
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Valley symmetry breaking and gap tuning in graphene by spin doping
• Quantum Theory of Nonlinear Thermal Response
• Transversal electric field effect in multilayer graphene nanoribbon
• Topological thermoelectric effects in spin-orbit coupled electron and hole doped semiconductors
• Anomalous Lorenz number in massive and tilted Dirac systems
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field