In this talk I will start recalling the definitions of thermoelectric and thermomagnetic coefficients and discussing difficulties existing in their microscopic description. Then I will demonstrate the link between conductivity and coefficients of Seebeck, Nernst-Ettingshausen, Peltier, and Thompson and Reghi-Leduc via the temperature derivatives of the chemical potential and magnetization of a system. The obtained general expressions will be applied to three-, two- and one-dimensional systems of charge carriers having a parabolic or Dirac spectrum. The method allows for predicting thermoelectric and thermomagnetic properties of novel materials and systems.
In order to demonstrate how the method works I will show several examples, including normal method, fluctuating superconductor and graphene in magnetic field.
At the end of the talk I will speak about the specifics of Boltzmann systems of strongly interacting charged particles (electrolytes) and will discuss different, including the nonlinear, regimes of Seebeck effect which can occur there.
Institute of Superconductivity and Innovative Materials, National Research Council of Italy