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An Analytic Study of the Wiedemann-Franz Law and the Thermoelectric\n Figure of Merit

2019/04/07 by Aakash Yadav, P. C. Deshmukh, Yadav, Aakash +7 · 1 citation
Engineering · Materials Science · #Advanced Thermoelectric Materials and Devices #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Thermal properties of materials #Thermodynamic and Structural Properties of Metals and Alloys

paper · pdf · doi:10.48550/arxiv.1904.03183

openalex publication_date 2019/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Advances in optimizing thermoelectric material efficiency have seen a\nparallel activity in theoretical and computational advances. In the current\nwork, it is shown that the calculation of exact Fermi-Dirac integrals enables\nthe generalization of the Wiedemann-Franz law (WF) to optimize the\ndimensionless thermoelectric figure of merit ZT. This is done by optimizing the\nSeebeck coefficient, the electrical conductivity and the thermal conductivity.\nIn the calculation of the thermal conductivity, both electronic and phononic\ncontributions are included. The solutions provide insight into the relevant\nparameter space including the physical significance of complex solutions and\ntheir dependence on the scattering parameter r and the reduced chemical\npotential.\n

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