Nondiagonal cross-transport phenomena in a magnetic field

This brief paper supplements the review by A F Barabanov et al. (Physics–Uspekhi 58 446 (2015)) concerning the Hall and Righi–Leduc effects. Both effects are diagonal in the sense that the initial current perpendicular to the magnetic field and the transverse response (perpendicular to both the magnetic field and the initial current) are of the same nature (the electric current in the Hall effect and the heat current in the Righi–Leduc effect). We here take a similar perspective in discussing the nondiagonal Ettingshausen and Nernst effects, in which the transverse current is different in nature from the initial longitudinal one. A summary of transverse effects in a magnetic field is also given.