NEW CRITICAL IMPURITY DENSITY IN METAL-INSULATOR TRANSITION, OBTAINED IN N(P)- TYPE DEGENERATE NaCl-METALLIC LIQUID (OR FERMI LIQUID), BEING JUST THAT OF THE CARIERS, LOCALIZED IN EXPONENTIAL BAND TAILS. (VII.A)

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 Metallic Liquid (NaCl-ML) or Fermi Liquid, being due to the effects of the size of donor (acceptor) d(a)-radius, , 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 Table 1 in Appendix 1, the numerical results of the pressure variation are given and computed, using Equation (3). It should be noted that, for a given , those increase with increasing reduced effective electron (hole) mass in conduction (valence) bands, , in good agreement with Landau’s remarks on the Fermi Liquid.[2] (ii)-In Tables 2-5 in Appendix1, the numerical results of the critical impurity density in the metal-insulator transition (MIT), as that given in Eq. (8), by using an empirical Mott parameter , are obtained and discussed. (iii)-Further, also in Tables 2-5 in Appendix 1, for a given , the numerical results of the density of electrons (holes) localized in the exponential conduction (valence)-band tails (EBT), , are obtained, using Eq. (26), and taking the empirical Heisenberg parameter, , as that given in Eq. (15), giving raise to: with a precision of the order of . In other words, such the critical d(a)-density is just the density of electrons (holes) localized in the EBT, , respectively.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-01
DOI
https://doi.org/10.5281/zenodo.23038036
Primary Topic
Thermodynamic and Structural Properties of Metals and Alloys
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article
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NEW CRITICAL IMPURITY DENSITY IN METAL-INSULATOR TRANSITION, OBTAINED IN N(P)- TYPE DEGENERATE NaCl-METALLIC LIQUID (OR FERMI LIQUID), BEING JUST THAT OF THE CARIERS, LOCALIZED IN EXPONENTIAL BAND TAILS. (VII.A)

Prof. Huynh Van Cong*, Michel Cayrol, Prof. Dr. Serge Dumont, Vincent L'Henaff
Zenodo (CERN European Organization for Nuclear Research)
Thermodynamic and Structural Properties of Metals and Alloys
article

NEW CRITICAL IMPURITY DENSITY IN METAL-INSULATOR TRANSITION, OBTAINED IN N(P)- TYPE DEGENERATE NaCl-METALLIC LIQUID (OR FERMI LIQUID), BEING JUST THAT OF THE CARIERS, LOCALIZED IN EXPONENTIAL BAND TAILS. (VII.A)

Prof. Huynh Van Cong*, Michel Cayrol, Prof. Dr. Serge Dumont, Vincent L'Henaff
article en

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 Metallic Liquid (NaCl-ML) or Fermi Liquid, being due to the effects of the size of donor (acceptor) d(a)-radius, , 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 Table 1 in Appendix 1, the numerical results of the pressure variation are given and computed, using Equation (3). It should be noted that, for a given , those increase with increasing reduced effective electron (hole) mass in conduction (valence) bands, , in good agreement with Landau’s remarks on the Fermi Liquid.[2] (ii)-In Tables 2-5 in Appendix1, the numerical results of the critical impurity density in the metal-insulator transition (MIT), as that given in Eq. (8), by using an empirical Mott parameter , are obtained and discussed. (iii)-Further, also in Tables 2-5 in Appendix 1, for a given , the numerical results of the density of electrons (holes) localized in the exponential conduction (valence)-band tails (EBT), , are obtained, using Eq. (26), and taking the empirical Heisenberg parameter, , as that given in Eq. (15), giving raise to: with a precision of the order of . In other words, such the critical d(a)-density is just the density of electrons (holes) localized in the EBT, , respectively.

Zenodo (CERN European Organization for Nuclear Research)
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Thermodynamic and Structural Properties of Metals and Alloys
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