Thermal transport driven by charge imbalance in graphene in magnetic field, close to the charge neutrality point at low temperature: Non local resistance

Abstract

Graphene grown epitaxially on SiC, close to the charge neutrality point (CNP), in an orthogonal magnetic field shows an ambipolar behavior of the transverse resistance accompanied by a puzzling longitudinal magnetoresistance. When injecting a transverse current at one end of the Hall bar, a sizeable non local transverse magnetoresistance is measured at low temperature. While Zeeman spin effect seems not to be able to justify these phenomena, some dissipation involving edge states at the boundaries could explain the order of magnitude of the non local transverse magnetoresistance, but not the asymmetry when the orientation of the orthogonal magnetic field is reversed. As a possible contribution to the explanation of the measured non local magnetoresistance which is odd in the magnetic field, we derive a hydrodynamic approach to transport in this system, which involves particle and hole Dirac carriers, in the form of charge and energy currents. We find that thermal diffusion can take place on a large distance scale, thanks to long recombination times, provided a non insulating bulk of the Hall bar is assumed, as recent models seem to suggest in order to explain the appearance of the longitudinal resistance. In presence of the local source, some leakage of carriers from the edges generates an imbalance of carriers of opposite sign, which are separated in space by the magnetic field and diffuse along the Hall bar generating a non local transverse voltage.

arXiv comment25 pages, 12 figures

References in corpus (37)

• Non-Abelian Anyons and Topological Quantum Computation
• Electronic transport in two dimensional graphene
• Quantum-limited shot noise in graphene
• Detecting Topological Currents in Graphene Superlattices
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Approaching the Dirac point in high mobility multi-layer epitaxial graphene
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Quantum critical transport in clean graphene
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Non-zero temperature transport near quantum critical points
• Carrier dynamics in epitaxial graphene close to the Dirac point
• The thermopower and Nernst Effect in graphene in a magnetic field
• Giant Nonlocality near the Dirac Point in Graphene
• Dissipative Quantum Hall Effect in Graphene near the Dirac Point
• Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
• Quantum critical scaling in graphene
• Quantum transport in Rashba spin-orbit materials: A review
• Slow imbalance relaxation and thermoelectric transport in graphene
• Quantum-critical relativistic magnetotransport in graphene
• Electron-Hole Generation and Recombination Rates for Coulomb Scattering in Graphene
• Local Thermometry of Neutral Modes on the Quantum Hall Edge
• Collective cyclotron motion of the relativistic plasma in graphene
• Extremely large magnetoresistance in few-layer graphene/boron-nitride heterostructures
• Observation of Chiral Heat Transport in the Quantum Hall Regime
• Giant Spin-Hall Effect induced by Zeeman Interaction in Graphene
• Origins of Nonlocality near the Dirac Point in Graphene
• Nonlocal transport near the charge neutrality point in a two-dimensional electron-hole system
• Scale-invariant large nonlocality in polycrystalline graphene
• Non-equilibrium noise in transport across a tunneling contact between $\nu =2/3$ fractional quantum Hall edges
• Spin Hall effect in a two-dimensional electron gas in the presence of a magnetic field
• Lifshitz transition and thermoelectric properties of bilayer graphene
• Energy transport by neutral collective excitations at the quantum Hall edge
• Chirality and Current-Current Correlation in Fractional Quantum Hall Systems
• Incipient Berezinskii-Kosterlitz-Thouless transition in two-dimensional coplanar Josephson junctions
• Probing the $\nu =2/3$ fractional quantum Hall edge by momentum-resolved tunneling
• Electronic transport in graphene with particle-hole-asymmetric disorder

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