INVESTIGATION OF SOME PROPERTIES OF NON-INTERACTING ELECTRON GAS USING THE LANDAU-FERMI LIQUID THEORY

Abstract

In this work, the specific heat, compressibility, temperature dependent bulk modulus, pressure, chemical potentials, entropy, thermal expansion, density, group velocity, lifetime and thermal conductivity of quasi-particles were calculated based on the modified Landau theory of Fermi Liquids.The specific heat,temperature dependent bulk modulus, pressure, entropy, thermal expansion, and lifetime of quasi-particles exhibit the same trend for all the metals investigated with temperature for both the Landau and calculated values. The values of Landau specific heat and Landau temperature dependent bulk modulusof quasi-particles are higher than bulk metals. But the calculated values of specific heat and temperature dependent bulk modulusof quasiparticles are in good agreement with experimental values. Also, the values of the Landau pressure, entropy, chemical potential and lifetime of quasi-particles are much higher than the computed values. This suggests that the Landau Fermi liquid theory over estimated most of the properties of quasi-particles in metals studied. But the calculated thermal expansionof quasi-particles is larger than the Landauthermal expansionof quasi-particles. This may be due to the electron density parameter,   s r used and also some approximations made during computation. In both cases as temperature increases the thermal expansionof quasi-particlesbecamecloser to experimental values. At high density region (rs  3 a.u) there is agreement between experimental, calculated and Landau values for compressibility of quasi-particles with electron density parameters for some metals, but there is disagreement between themat low density region ( 3 . ) s r  a u .The chemical potential and thermal conductivity of quasi-particles decreases as temperature increases for all the metals studied.The calculated thermal conductivity of quasi-particles is higher than Landau thermal conductivity of quasi-particles. The computed thermal conductivity of quasi-particles is in better agreement with experimental values. The calculated and Landau density of quasi-particles agree very well with experimental values of metals at low density region (rs  3 a.u) . At high density region, ( 3 . ) s r  a u the Landau and calculated density of quasi-particle do not agree with experimental density of metals.Also,at low density limit ( 3 . ) s r  a u there is agreement with both the Landau and calculated group velocity of quasi-particles with electron density parameter for some metals but at high density region ( 3 . ) s r  a u group velocity of quasi-particles of most metals are found here and according to Landau they are of high values.The agreement between the calculated results and available experimental values shows that the introduction of the electron density parameter   s r is promising in predicting the contribution of quasi-particles to the bulk properties of metals.