Charge, heat, and spin transport phenomena in metallic conductors

In solid state materials, gradients of the electro-chemical potential, the temperature, or the spin-chemical potential drive the flow of charge, heat, and spin angular momentum, resulting in a net transport of energy. Beyond the primary transport processes-such as the flow of charge, heat, and spin angular momentum driven by gradients in their respective potentials-a wide range of coupled or cross-linked transport responses can occur, giving rise to a rich variety of transport phenomena. These transport phenomena are commonly categorized under (anomalous) thermoelectric, thermomagnetic, and galvanomagnetic effects, along with their spin-dependent counterparts. However, establishing a systematic classification and comparison among them remains a complex and nontrivial task. This paper attempts a didactic overview of the different transport phenomena, by categorizing and briefly discussing each of them based on charge, heat, and spin transport in conducting solids. The phenomena are structured in three categories: collinear, transverse, and so-called 'planar' transport effects. The resulting overview attempts to categorize all effects in a consistent manner.