Calculation of 2d-thermomagnetic current and its fluctuations using the method of effective hamiltonian

Abstract

The method of effective Hamiltonian (MEH) is proposed for the calculation of the nondissipative thermomagnetic current in samples of any dimension. This method includes the temperature in the Hamiltonian as opposed to the previous researches. The nondiagonal component of the thermomagnetic tensor calculated by the MEH is in full accord with results obtained previously. The calculations of the thermomagnetic current and its dispersion are performed in the coherent-state representation for the 2D-sample and nondegenerate statistics. The results obtained can be used, for example, to increase the sensitivity of temperature sensors.