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Article

Wiedemann–Franz Law for Massless Dirac Fermions with Implications for Graphene

Institute for Theoretical Physics, Jagiellonian University, Łojasiewicza 11, PL-30348 Kraków, Poland
Academic Editor: Mariusz Krawiec
Materials 2021, 14(11), 2704; https://doi.org/10.3390/ma14112704
Received: 16 April 2021 / Revised: 14 May 2021 / Accepted: 17 May 2021 / Published: 21 May 2021
(This article belongs to the Special Issue Multilayer and Hybrid Two-Dimensional Materials)
In the 2016 experiment by Crossno et al. the 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, which 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. View Full-Text
Keywords: graphene; thermal conductivity; electrical conductivity; Wiedemann–Franz law; Corbino disk graphene; thermal conductivity; electrical conductivity; Wiedemann–Franz law; Corbino disk
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MDPI and ACS Style

Rycerz, A. Wiedemann–Franz Law for Massless Dirac Fermions with Implications for Graphene. Materials 2021, 14, 2704. https://doi.org/10.3390/ma14112704

AMA Style

Rycerz A. Wiedemann–Franz Law for Massless Dirac Fermions with Implications for Graphene. Materials. 2021; 14(11):2704. https://doi.org/10.3390/ma14112704

Chicago/Turabian Style

Rycerz, Adam. 2021. "Wiedemann–Franz Law for Massless Dirac Fermions with Implications for Graphene" Materials 14, no. 11: 2704. https://doi.org/10.3390/ma14112704

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