Wiedemann-Franz law for massless Dirac fermions with implications for graphene
arXiv:2104.06680 · doi:10.3390/ma14112704
Abstract
In the 2016 experiment by Crossno et al. [Science 351, 1058 (2016)], electronic contribution to the thermal conductivity of graphene was found to violate the well-known Wiedemann-Franz (WF) law for metals. At liquid nitrogen temperatures, the thermal to electrical conductivity ratio of charge-neutral samples was more than 10 times higher than predicted by the WF law, what was attributed to interactions between particles leading to collective behavior described by hydrodynamics. Here we show, by adapting the handbook derivation of the WF law to the case of massless Dirac fermions, that significantly enhanced thermal conductivity should appear also in few- or even sub-kelvin temperatures, where the role of interactions can be neglected. The comparison with numerical results obtained within the Landauer-Büttiker formalism for rectangular and disk-shaped (Corbino) devices in ballistic graphene is also provided.
arXiv commentMinor revisions; Refs. added. RevTeX, 12 pages, 9 figures
References in corpus (31)
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Quantum-limited shot noise in graphene
- Phase Coherent Transport of Charges in Graphene Quantum Billiard
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Hydrodynamics of electrons in graphene
- Demonstration of one-parameter scaling at the Dirac point in graphene
- Shot Noise in Ballistic Graphene
- The electronic thermal conductivity of graphene
- Conductivity and Fano factor in disordered graphene
- Non-Fermi liquids and the Wiedemann-Franz law
- Parity and valley degeneracy in multilayer graphene
- High quality magnetotransport in graphene using the edge-free Corbino geometry
- Wiedemann-Franz law and Fermi liquids
- Conformal mapping and shot noise in graphene
- Enhancement of thermoelectric efficiency and violation of the Wiedemann-Franz law due to Fano effect
- Magnetoconductance of the Corbino disk in graphene
- Pseudo-diffusive magnetotransport in graphene
- Unconventional fractional quantum Hall states and Wigner crystallization in suspended Corbino graphene
- A Family of Finite-Temperature Electronic Phase Transitions in Graphene Multilayers
- Transport properties in the d-density-wave state in an external magnetic field: The Wiedemann-Franz law
- Breakdown of the Wiedemann-Franz law in AB-stacked bilayer graphene
- Signatures of disorder in the minimum conductivity of graphene
- Coherent Terahertz Radiation from a Nonlinear Oscillator of Viscous Electrons
- Transverse thermopower in Dirac and Weyl semimetals
- Lifshitz transition and thermoelectric properties of bilayer graphene
- Mesoscopic valley filter in graphene Corbino disk containing a p-n junction
- Wiedemann-Franz law in scattering theory revisited
- Thermoelectric properties of gapped bilayer graphene
- Sub-Kelvin Lateral Thermal Transport in Diffusive Graphene
- Conductivity scaling and the effects of symmetry-breaking terms in bilayer graphene Hamiltonian
Cited by in corpus (11)
- Sub-Sharvin conductance and enhanced shot noise in doped graphene
- Thermoelectric properties of inversion symmetry broken Weyl semimetal-Weyl superconductor hybrid junctions
- Theory of the sub-Sharvin charge transport in graphene disks
- Thermoelectric properties of the Corbino disk in graphene
- Thermoelectric properties and Wiedemann-Franz like relations in mixed-dimensional QEDs from particle-vortex dualities
- Wiedemann-Franz law violation domain for graphene and nonrelativistic systems
- Sub-Sharvin conductance and incoherent shot-noise in graphene disks at magnetic field
- Transport in honeycomb lattice with random -fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
- 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
- Charge and energy transport in graphene with smooth finite-range disorder