Abstract
We consider non-Fermi liquids in which the inelastic scattering rate has an intrinsic particle-hole asymmetry and obeys $\omega/T$ scaling. We show that, in contrast to Fermi liquids, this asymmetry influences the low-temperature behaviour of the thermopower even in the presence of impurity scattering. Implications for the unconventional sign and temperature dependence of the thermopower in cuprates in the strange metal (Planckian) regime are emphasized.
Highlights
Besides its relevance to thermoelectricity, the Seebeck effect provides invaluable insights into the fundamental physics of materials [1,2,3]
II we describe the Kubo-Boltzmann formalism used in our calculations of the Seebeck coefficients, taking explicit account of the skewness of the inelastic scattering rate
III we describe our main results that reveal the unusual effect of skewness in non-Fermi liquids and contrast it to the more moderate behavior in Fermi liquids
Summary
Besides its relevance to thermoelectricity, the Seebeck effect provides invaluable insights into the fundamental physics of materials [1,2,3]. One of the reasons is that, as detailed below, the particle-hole asymmetry of the inelastic scattering rate does not influence S at low temperature for metals obeying Fermi-liquid theory when impurity scattering is present. We demonstrate that in “skewed” nonFermi liquids where the scaling function has an odd-frequency component, this particle-hole asymmetry affects the low-T behavior of the Seebeck coefficient down to T = 0, even in the presence of impurity scattering. This is an unexpected finding because the impurity scattering is temperature independent, whereas the electron-electron scattering diminishes upon cooling down and vanishes at T = 0.
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