Quanta of the Righi–Leduc coefficients and magneto-thermal resistance

Background. Currently, the effects of dimensional quantization in narrow nanoconductors (nanoribbons and nanotubes) are well known, causing the appearance of quanta of electrical resistance, electrical capacity and inductance. No less known are the effects of magnetic quantization, which lead to the appearance of quantum Hall resistance and magnetoresistance in two-dimensional conductors. The purpose of the work is to study the effect of dimensional and magnetic quantization on the thermomagnetic effects of Righi–Leduc and magnetothermal conductivity. Materials and methods. The objects of the study are metallic graphene nanoribbons with a width of less than 100 nm and a length not exceeding the length of ballistic electron transport (less than 1mm). The work uses well-known methods of quantum physics, crystallophysics and the quantum theory of transport phenomena in two-dimensional electron gas. Results. The symmetric and antisymmetric parts of the specific thermal resistance tensor of a 2D conductor in a transvers magnetic field are investigated. Explicit expressions are obtained for the Righi–Leduc quantum of specific thermal resistance and quantum of specific absolute magnetothermal resistance. The results of the work can be used in the development of thermomagnetic sensors, magnetothermoresistors and other thermomagnetic devices. Conclusions. It is shown that the localization of electrons in narrow graphene nanoribbons due to joint dimensional and magnetic quantization leads to the appearance of the quantum Righi–Leduc effect and the quanta of the Righi–Leduc coefficients, the specific thermal resistance of Righi–Leduc and the coefficient of specific absolute magnetothermal resistance.