Renormalization Group Equation of the Disordered Two-Dimensional Electron Gas with Particle-Hole Asymmetry

The non-linear sigma model (NLSM) is a powerful tool for studying the transport properties of disordered electron systems. However, the conventional NLSM cannot be used to study thermoelectric transport because it is particle-hole symmetric, while the thermoelectric transport coefficient is sensitive to particle-hole asymmetry. To overcome this limitation, a generalized NLSM with particle-hole asymmetry was recently developed. This generalized NLSM has already been used to calculate perturbatively the effects of interactions and disorder on the thermoelectric transport coefficient. A renormalization group (RG) analysis can provide further insights into the thermoelectric transport properties at low temperatures. In this project, we perform an RG analysis of the generalized NLSM to understand thermoelectric transport on the metallic side of the metal-insulator transition in the two-dimensional disordered electron liquid.