Quasi-particle Contribution in Thermal Expansion and Thermal Conductivity in Metals

Authors

  • O. G. Edema1 1 Federal Polytechnic
  • O. M. Osiele2 2 Delta State University
  • S. I. Otobo1
  • A. O. Akinbolusere1

DOI:

https://doi.org/10.18063/msmr.v2i2.343

Keywords:

Electron gas, Quasi-particles, Electron density parameter, Thermal Expansion, Thermal Conductivity

Abstract

In this paper the modified Landau theory of Fermi Liquids was used to compute the thermal expansion and thermal conductivity of quasi-particles in metals. The result revealed that as temperature increases the thermal expansion of quasi-particles in metals increases in all the metals investigated. It is also observed that as the electron density parameter increases the thermal expansion of quasi-particles increases. This shows that at low density region the thermal expansion of quasi-particles is large.  The result obtained for the thermal conductivity of quasi-particles in metals revealed that for all the metals computed the thermal conductivity of quasi-particles decreases as temperature increases. This seems to suggest that as temperature increases the separation between quasi-particles increases because they are not heavy particles hence, the rate of absorbing heat decreases. The computed thermal expansion and thermal conductivity of quasi-particles are in better agreement with experimental values. This suggests that the introduction of the electron density parameter is promising in predicting the contribution of quasi-particles to the bulk properties of metals. This study revealed the extent to which quasi-particles contribute to the bulk properties of metals, which assisted their potential applications in materials science and engineering development.

References

Animalu, A.O.E. (1977). Intermediate Quantum Theory of Crystalline Solids. Prentice- Hall, Inc., Englewood Cliffs, New Jersey. 455-463

Ashcroft, N. W. and Mermin, N. D. (1976). Solid State Physics. Holt, Rinehart and Winston, London. 20-25

Edema, O. G., Osiele, O. M. and Oluyamo, S. S. (2016). Specific heat and Compressibility of Quasi-particles in Metals. Journal of the Nigerian Association of Mathematical Physics. 36 (2): 253-264

Elliot, S. R. (1998). The Physics and Chemistry of Solids. John Willey and Sons, Chichester. 289-308

Fröhlich, B., Feld, M., Vogt, E., Koschorreck, M., Köhl, M., Berthod, C., and Giamarchi, T. (2012). A two-dimensional Fermi liquid with attractive interactions. arXiv:1206.5380v1 [cond-mat.quant-gas]

Gangadharaiah, S., Maslov, D. L., Chubukov, A. V., and Glazman, L. I. (2005). Interacting Fermions in Two Dimensions: Beyond the Perturbation Theory. Physical Review Letters 94: 156407-1 - 156407-4.

Kittel, C., (1996), Introduction to Solid State Physics (7th ed.). John and Sons, Inc., Singapore, New York. 143-151

Nodar, L. T. and Levan, N. T. (2010). Elementary Excitations in Quantum Fermi Liquid. Department of Plasma Physics, E. Andronikashvili Institute of Physics, Tbilisi, Georgia. arXiv:1006.0369v1 [quant-ph]

Sykes, J. and Brooker, G. A., (1970). The Transport Coefficients of a Fermi Liquid. Annals of Physics. 56, (3): 1-39.

Thomas, P. (2011). Landau's Fermi Liquid Concept to the Extreme: The Physics of Heavy Fermions. XVI Training Course in the Physics of Strongly Correlated Systems, Salerno. 15 – 34

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Published

2018-08-14

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Section

Original Research Articles