| It is well known that at low temperatures singular corrections to the electrical conductivity arise because of the electron-electron interactions. Via the quantum kinetic equation approach, one can evaluate how the interactions affect not only the charge transport but also the thermal transport and the specific heat. I will show that the Wiedemann-Franz law relating electrical and thermal conductivities, usually regarded as a signature of Fermi-liquid theory, is not valid if one accounts for the interaction effects. Deviations from this law include but are not limited to those due to the energy dependence of the elastic scattering rate. For disordered metals, a large contribution to the violation of the Wiedemann-Franz law comes from the energy transported by neutral bosonic excitations, low-energy modes that must be introduced to obtain a local kinetic description. For open quantum dots, I will discuss how the corrections due to the charge and triplet channel interactions and the Zeeman splitting lead to zero and finite bias anomalies in the average differential conductance. |
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