Abstract

The ideal reversible thermodynamic cycle visualization of the Nernst effect in Laughlin geometry, excluding the kinetic contribution is proposed. The Ettingshausen effect is also treated in the fashion using the reverse cycle. The corresponding values of the off-diagonal thermoelectric coefficients are expressed through the ratio of the entropy budget per magnetic flux. Our approach enlightens the profound thermodynamic origin of the relation between the Nernst effect and magnetization currents.

Highlights

  • Two centuries ago Carnot introduced the notion of the ideal heat engine with molecular gas as the working body [1]

  • In this article we propose a new type of a gedanken heat engine based on the Nernst effect realized in the Laughlin geometry [7]

  • Following the same logic and based on the results presented in the previous sections we will show how the ideal Nernst heat engine may work

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Summary

INTRODUCTION

Two centuries ago Carnot introduced the notion of the ideal heat engine with molecular gas as the working body [1]. The fact that the Carnot cycle realizes the maximum possible efficiency of the heat engine is considered as its remarkable feature This theoretical statement provides the crucial criterion in search for the new materials for realization of the effective thermoelectric generator characterized by low heat losses. These losses occur due to the dissipation processes taking place in the working body related to its electrical resistivity and thermal conductivity. The magnitude of the diamagnetic edge currents is temperature dependent, which is why it turns out to be different at the cold and hot edges of the cylinder.

EDGE CURRENTS
THERMODYNAMIC TREATMENT OF THE NERNST EFFECT
REVERSE CYCLE
THERMODYNAMIC VERSUS MICROSCOPIC APPROACHES
CONCLUSION

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