Nernst effect beyond the relaxation-time approximation

Details Nernst effect beyond the relaxation-time approximation Nernst effect beyond the relaxation-time approximation

2011-05-06

arxiv.org/abs/1105.1303v1

Phys.Rev. B 84, 035133 (2011)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevB.84.035133

Motivated by recent interest in the Nernst effect in cuprate superconductors, we calculate this magneto-thermo-electric effect for an arbitrary (anisotropic) quasiparticle dispersion relation and elastic scattering rate. The exact solution of the linearized Boltzmann equation is compared with the commonly used relaxation-time approximation. We find qualitative deficiencies of this approximation, to the extent that it can get the sign wrong of the Nernst coefficient. Ziman's improvement of the relaxation-time approximation, which becomes exact when the Fermi surface is isotropic, also cannot capture the combined effects of anisotropy in dispersion and scattering.

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