New exact results for the two-phase model with several conserved currents

TL;DR

This paper extends exact analytical results for transport properties in two-phase systems to include magneto-thermoelectric responses, providing new solutions for single and double-layer configurations under magnetic fields.

Contribution

It generalizes previous exact results to the magneto-thermoelectric response of single layers and double-layers, including perturbative calculations for weak magnetic fields.

Findings

Exact solutions for magneto-thermoelectric response of single layers.

Exact solutions for thermoelectric response of double-layers.

Perturbative results for weak magnetic fields.

Abstract

We consider the macroscopic transport properties of two-dimensional random binary mixtures with identical spatial distributions of the two phases. Previous studies have obtained exact analytical results for the electrical conductivity of a single layer with and without a magnetic field, as well as for the thermoelectric response of a magnetic field-free double-layer. Here, we generalize these exact solutions to the magneto-thermoelectric response of a single layer and to the thermoelectric response of a double-layer. The magneto-thermoelectric transport coefficients of the double-layer are calculated perturbatively for weak magnetic field.