Joule heating in bad and slow metals
نویسندگان
چکیده
Heat supplied to a metal is absorbed by the electrons and then transferred lattice. In conventional metals energy released lattice phonons emitted from Lindhard continuum. However in `bad' metal, with short mean free path, low continuum destroyed. Furthermore `slow' Fermi velocity less than sound velocity, particle-hole pairs are kinematically unable emit phonons. To describe transfer these cases we obtain general Kubo formula for relaxation rate terms of electronic density spectral weight $\text{Im} \, G^R_{nn}(\omega_k,k)$ evaluated on phonon dispersion $\omega_k$. We apply our high temperature Hubbard model, using recent data quantum Monte Carlo experiments ultracold atoms characterize G^R_{nn}(\omega_k,k)$. furthermore use electron energy-loss spectroscopy estimate cuprate strange optical phonon. As second, distinct, application formalism consider metals. These defined have so that an expression slow conductivity.
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ژورنال
عنوان ژورنال: SciPost physics
سال: 2022
ISSN: ['2542-4653']
DOI: https://doi.org/10.21468/scipostphys.13.4.095