Lorentz ratio of a compensated metal
ORAL
Abstract
A violation of the Wiedemann-Franz law in a metal can quantified by comparing the Lorentz ratio, L=κρ/T, where κ is the thermal conductivity and ρ is the electrical resistivity, with the universal Sommerfeld constant, L0=π2/3) (kB/e)2.
We obtain the Lorentz ratio of a clean compensated metal with intercarrier interaction as the dominant scattering mechanism by solving exactly the system of coupled integral Boltzmann equations. The Lorentz ratio is shown to assume a particular simple form in the forward-scattering limit: L/L0=〈Θ2〉/2, where Θ is the scattering angle. In this limit, L/L0 can be arbitrarily small. We also show how the same result can be obtained without the benefit of an exact solution. We discuss how a strong downward violation of the Wiedemann-Franz law in a type-II Weyl semimetal WP2 can be explained within our model.
We obtain the Lorentz ratio of a clean compensated metal with intercarrier interaction as the dominant scattering mechanism by solving exactly the system of coupled integral Boltzmann equations. The Lorentz ratio is shown to assume a particular simple form in the forward-scattering limit: L/L0=〈Θ2〉/2, where Θ is the scattering angle. In this limit, L/L0 can be arbitrarily small. We also show how the same result can be obtained without the benefit of an exact solution. We discuss how a strong downward violation of the Wiedemann-Franz law in a type-II Weyl semimetal WP2 can be explained within our model.
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Presenters
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Songci Li
National High Magnetic Field Laboratory/University of Florida
Authors
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Songci Li
National High Magnetic Field Laboratory/University of Florida
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Dmitrii Maslov
University of Florida, Department of Physics, University of Florida