Cooling of chiral heat transport in the quantum Hall effect graphene

Abstract

In the quantum Hall effect (QHE) regime, heat is carried by electrons in the edge states of Landau levels. Here, we study cooling of hot electrons propagating along the edge of graphene at the filling factor $\nu =\pm 2$, mediated by acoustic phonons. We determine the temperature profile extended from a hot spot, where the Hall current is injected into graphene from a metallic contact, taking into account specifics of boundary conditions for lattice displacements in graphene in a van der Waals heterostructure with an insulating substrate. Our calculations, performed using generic boundary conditions for Dirac electrons, show that emission of phonons can explain a short cooling length observed in graphene-based QHE devices by Nahm, Hwang and Lee [PRL 110, 226801 (2013)].

4+2 pages, accepted to Phys.Rev.B

References in corpus (11)

• The electronic properties of graphene
• Electron scattering on microscopic corrugations in graphene
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Edge States and the Quantized Hall Effect in Graphene
• Robustness of edge states in graphene quantum dots
• Quantum Hall resistance standards from graphene grown by chemical vapor deposition on silicon carbide
• Operation of graphene quantum Hall resistance standard in a cryogen-free table-top system
• Charge and Spin Transport at the Quantum Hall Edge of Graphene
• Strain-displacement relations and strain engineering in 2d materials
• Precision quantization of Hall resistance in transferred graphene
• Puddle-induced resistance oscillations in the breakdown of the graphene quantum Hall effect

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• Dissipation and dephasing in quantum Hall interferometers
• Suppressed compressibility of quantum Hall effect edge states in epitaxial graphene on SiC