World Journal of Engineering Research and Technology

Prof. Dr. Huynh Van Cong*

ABSTRACT

By basing on the same physical model and treatment method, as used in our recent work.[1] we will investigate the critical impurity densities in the metal-insulator transition (MIT), obtained in n(p)-type degenerate Sodium Chloride Metal Liquid (NaCl-ML) or Fermi Liquid, being due to the effects of the size of donor (acceptor) d(a)-radius, r_(d(a)), and the high d(a)-density, N, assuming that all the impurities are ionized even at T=0 K. In such the n(p)-type NaCl-ML, some important remarks are given and discussed in the following. (i)- In Tables 1a-1d in Appendix 1, the numerical results of the pressure variation [∆p(r_(d(a)))]_(n(p)) are given and computed, using Equation (3). It should be noted that, for a given r_(d(a)), those increase with increasing reduced effective electron (hole) mass in conduction (valence) bands, m_(c(v))/m_o , in good agreement with Landau’s remarks on the Fermi Liquid.[2] (ii)- In Tables 2-5 in Appendix1, the numerical results of the criticalimpurity density N_(CDn(CDp)) (r_(d(a))) in the metal-insulator transition (MIT), as that given in Eq. (8), by using an empirical Mott parameter M_(n(p))=0.25, are obtained and discussed. (iii)- Further, also in Tables 2a-5b in Appendix 1, for a given〖 r〗_d(a) , the numerical results of the density of electrons (holes) localized in the exponential conduction (valence)-band tails (EBT), N_CDn(CDp)^EBT (〖 r〗_d(a) ,x), are obtained, using Eq. (26), and taking the empirical Heisenberg parameter, H_(n(p))=0.47137, as that given in Eq. (15), giving raise to: N_CDn(CDp)^EBT (〖 r〗_d(a) )≅N_(CDn(CDp)) (r_(d(a))), with a precision of the order of 2.8826×〖10〗^(-7). In other words, such the critical d(a)-density N_CDn(NDp) (r_(d(a)))), is just the density of electrons (holes) localized in the EBT, N_CDn(CDp)^EBT (〖 r〗_(d(a))), respectively.

[Full Text Article] [Download Certificate] https://doi.org/10.5281/zenodo.23038491