Electronic Transport at Low Temperatures: Diagrammatic Approach
arXiv:0812.0024 · doi:10.1016/j.physe.2009.06.039
Abstract
We prove that a diagrammatic evaluation of the Kubo formula for the electronic transport conductivity due the exchange of bosonic excitations, in the usual conserving ladder approximation, yields a result consistent with the Boltzmann equation. In particular, we show that an uncontrolled approximation that has been used to solve the integral equation for the vertex function is unnecessary. An exact solution of the integral equation yields the same asymptotic low-temperature behavior as the approximate one, albeit with a different prefactor, and agrees with the temperature dependence of the Boltzmann solution. Examples considered are electron scattering from acoustic phonons, and from helimagnons in helimagnets.
Submitted to Physics E (FMQT08 Proceedings). Requires Elsevier style file (included)
References in corpus (2)
Cited by in corpus (5)
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- Exact solution of the Boltzmann equation for low-temperature transport coefficients in metals I: Scattering by phonons, antiferromagnons, and helimagnons
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- Generic non-Fermi-liquid behavior of the resistivity in magnets with ferromagnetic, helical, or skyrmionic order
- Rigorous results for the electrical conductivity due to electron-phonon scattering