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.

arXiv comment6 pages, 3 figures

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• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Thermopower of gapped bilayer graphene
• Non-linear Nernst effect in bilayer WTe${}_2$
• Thermopower in an anisotropic two-dimensional Weyl semimetal
• Tunable thermoelectricity in monolayers of MoS${}_2$ and other group-VI dichalcogenides
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Quantum kinetic equation in phase-space textured multiband systems
• Valley symmetry breaking and gap tuning in graphene by spin doping
• Quantum Theory of Nonlinear Thermal Response
• Topological density wave states of non-zero angular momentum
• Topological spin Hall and spin Nernst effects in a bilayer graphene
• Transversal electric field effect in multilayer graphene nanoribbon
• Thermopower of multilayer graphene
• Multilayer graphene nanoribbon under vertical electric field
• Topological thermoelectric effects in spin-orbit coupled electron and hole doped semiconductors
• Berry curvature mediated valley Hall and charge Hall effects in graphene via strain engineering
• Anomalous Lorenz number in massive and tilted Dirac systems
• Anomalous Nernst effect on a magnetically-doped topological insulator surface: A Green's function approach
• Skyrmions in a density wave state: a mechanism for chiral superconductivity
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field