Wiedemann-Franz law in graphene
arXiv:2211.05192 · doi:10.1103/PhysRevB.107.085401
Abstract
We analyze a well-known experimental work [J. Crossno et al., Science 351, 1058 (2016)] which reported on the failure of the Wiedemann-Franz law in graphene at -, attributing this failure to the non-Fermi liquid nature of the Dirac fluid associated with undoped intrinsic graphene. In spite of serious theoretical efforts, the reported observations remain unexplained. Our detailed quantitative analysis based on Fermi liquid considerations, which apply to extrinsic doped graphene, establishes that one possible explanation for the reported observations is the opening of a gap at the Dirac point, induced perhaps by the boron nitride substrate. We suggest that more experiments are necessary to resolve the issue, and we believe that the experiment may not actually have anything to do with Dirac fluid hydrodynamics, but relates to finite-temperature low-density bipolar diffusive transport by electrons and holes in the presence of short- and long-range disorder, and phonons.
arXiv comment13 pages, 9 figures
References in corpus (35)
- Berry Phase Effects on Electronic Properties
- Electronic transport in two dimensional graphene
- Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
- Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
- Charged Impurity Scattering in Graphene
- A self-consistent theory for graphene transport
- Measurement of Scattering Rate and Minimum Conductivity in Graphene
- Controlling electron-phonon interactions in graphene at ultra high carrier densities
- Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
- Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
- Twistable electronics with dynamically rotatable heterostructures
- Quantum critical transport in clean graphene
- Dynamic band structure tuning of graphene moiré superlattices with pressure
- Screening induced temperature dependent transport in 2D graphene
- Is Graphene a Fermi Liquid?
- The electronic thermal conductivity of graphene
- Single particle relaxation time versus transport scattering time in a 2D graphene layer
- Theory of thermopower in 2D graphene
- Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
- Ground-state of graphene in the presence of random charged impurities
- Conductivity of the defectless Graphene
- Tunable crystal symmetry in graphene-boron nitride heterostructures with coexisting moiré superlattices
- Non-Fermi liquids and the Wiedemann-Franz law
- Wiedemann-Franz law and Fermi liquids
- Crossover from quantum to Boltzmann transport in graphene
- Effective medium theory for disordered two-dimensional graphene
- Finite temperature inelastic mean free path and quasiparticle lifetime in graphene
- Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
- Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects
- Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
- Surface polar optical phonon interaction induced many-body effects and hot-electron relaxation in graphene
- Density dependent electrical conductivity in suspended graphene: Approaching the Dirac point in transport
- Migdal's theorem and electron-phonon vertex corrections in Dirac materials
- Hydrodynamics, viscous electron fluid, and Wiedeman-Franz law in 2D semiconductors
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- Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
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- Wiedemann-Franz law violation domain for graphene and nonrelativistic systems
- Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid
- On the Wiedemann-Franz law violation in Graphene and quark-gluon plasma systems
- Quantum transport of Dirac fermions in selected graphene nanosystems away from the charge-neutrality point
- Sub-Sharvin conductance and incoherent shot-noise in graphene disks at magnetic field
- Mott and Wiedemann Franz Law for Monolayer Graphene for Different Scattering Mechanisms
- Charge and energy transport in graphene with smooth finite-range disorder
- Strain-Induced Half-Metallicity and Giant Wiedemann-Franz Violation in Monolayer NiI