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TVT, 2013, Volume 51, Issue 4, Pages 511–519 (Mi tvt105)  

This article is cited in 3 scientific papers (total in 3 papers)

Thermophysical Properties of Materials

The theory of a metal-insulator transition at zero temperature and features of the dielectric function in the Coulomb model of matter

V. B. Bobrovab, V. Ya. Mendeleyevb, S. A. Triggercb, G. J. F. van Heijstc, P. P. J. M. Schramc

a National Research University “Moscow Power Engineering Institute”, ul. Krasnokazarmennaya 14, Moscow, 111250, Russia
b Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 125412, Russia
c Eindhoven University of Technology, P.O. Box 513, MB 5600, Eindhoven, The Netherlands

Abstract: A metal-insulator transition at zero temperature for a material that is a quantum nonrelativistic Coulomb system of electrons and nuclei of one type has been considered in analyzing the features of the dielectric function beyond the adiabatic approximation for nuclei. It has been found that the isothermal compressibility of the material diverges at the metal-insulator transition. The static conductivity vanishes because the screening length of the Coulomb interparticle interaction in the “true” dielectric state is larger than any characteristic size and the screening effect is reduced to only a change in the interaction amplitude. In the presence of the density range corresponding to the true dielectric state, the material is highly probable in the self-compressed state characterized by zero pressure. The possibility of the description of such a state in the adiabatic approximation for nuclei of the material has been considered using the virial theorem.

DOI: https://doi.org/10.7868/S0040364413040042

Full text: PDF file (176 kB)
References: PDF file   HTML file

English version:
High Temperature, 2013, 51:4, 457–464

Bibliographic databases:

UDC: 533.9.01, 537.2, 537.9
Received: 06.08.2012

Citation: V. B. Bobrov, V. Ya. Mendeleyev, S. A. Trigger, G. J. F. van Heijst, P. P. J. M. Schram, “The theory of a metal-insulator transition at zero temperature and features of the dielectric function in the Coulomb model of matter”, TVT, 51:4 (2013), 511–519; High Temperature, 51:4 (2013), 457–464

Citation in format AMSBIB
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\by V.~B.~Bobrov, V.~Ya.~Mendeleyev, S.~A.~Trigger, G.~J.~F.~van~Heijst, P.~P.~J.~M.~Schram
\paper The theory of a metal-insulator transition at zero temperature and features of the dielectric function in the Coulomb model of matter
\jour TVT
\yr 2013
\vol 51
\issue 4
\pages 511--519
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\crossref{https://doi.org/10.7868/S0040364413040042}
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\transl
\jour High Temperature
\yr 2013
\vol 51
\issue 4
\pages 457--464
\crossref{https://doi.org/10.1134/S0018151X13040044}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. G. Vikulov, D. G. Vikulov, S. Yu. Mesnyankin, A. Yu. Fel'dman, “Experimental study of electrone conductivity of aluminum materials contact in the presence of surface nanofilms”, High Temperature, 53:1 (2015), 36–44  mathnet  crossref  crossref  isi  elib  elib
    2. V. B. Bobrov, S. A. Triger, “Critical opalescence and the true dielectric state in a Coulomb system”, Theoret. and Math. Phys., 183:1 (2015), 553–566  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. V. B. Bobrov, “On the free energy of liquid-metal plasma”, High Temperature, 54:3 (2016), 447–450  mathnet  crossref  crossref  isi  elib
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