LORENTZ NUMBER WITH PHENOMENOLOGICAL TRANSMISSION

Authors

DOI:

https://doi.org/10.24193/subbphys.2021.05

Keywords:

Thermoelectric properties, Wiedemann-Franz law, Lorentz number, Transmission, Electrons, Graphene.

Abstract

We analyzed the Lorentz number for thermoelectric phenomena in the case of electronic systems, using the Landauer-Bϋttiker method. For the transmission coefficient we will adopt two simple phenomenological forms, constant and linear. The case of graphene with a quadratic transmission is also analyzed.

References

A.Seebeck, Pogg. Ann. 6, 133, (1826)

J.C. Peltier, Ann. chim. et. Phys. 56, 371, (1834)

Lord. Kelvin, Collected. Papers, Cambridge. 1, 316, (1882)

F.J. Blatt, ”Solid. State. Physics. Advances. in. Reserch. and. Applications”, F. Seitz, D. Turnbull. eds., vol. 4, Acad. Press, NY, 199, (1957)

V. Pop, I. Chicinas, N. Jumate, ”Fizica. Materialelor. Metode. experimentale”, Presa Univ. Clujeana, (2001)

G. Wiedemann, R. Franz, Ann. Physik. 89, 497, (1853)

G. Benenti, G. Casati, K. Saito, R.S. Whitney, Phys. Rep. 694, 1, (2017)

B. Kubala, J. König, J.P. Pekola, Phys. Rev. Lett. 100, 066801, (2008)

E. Sivre, A. Anthore, F.D. Parmentier, A. Cavanna, U. Gennser, A. Ouerghi, Y. Jin, F. Pierre, Nat. Phys. 14, 145, (2018)

U. Sivan, Y. Imry, Phys. Rev. B 33, 551, (1986)

M.G. Vavilov, A.D. Stone, Phys. Rev. B72, 205107, (2005)

S.T. Rodriguez, I. Grosu, M. Crisan, I. Tifrea, Physica. E96, 1, (2018)

J.R. Isern-Lozano, J.S. Lim, I. Grosu, R. Lopez, M. Crisan, D. Sanchez, Eur. Phys. J. Special. Topics, 227, 1969, (2019)

M. Crisan, I. Grosu, I. Tifrea, Physica. E124, 114361, (2020)

Downloads

Published

2021-12-30

How to Cite

GROSU, I. (2021). LORENTZ NUMBER WITH PHENOMENOLOGICAL TRANSMISSION. Studia Universitatis Babeș-Bolyai Physica, 66(1-2), 47–53. https://doi.org/10.24193/subbphys.2021.05

Issue

Section

Articles