Choice of Pseudopotential and Electroresistance of Simple Disordered Metals

Shvets, V. Т.; Belov, E. V.

doi:10.12693/aphyspola.96.741

Cited by 16 publications

(10 citation statements)

References 10 publications

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“…One can determine the behavior of each specific metallic system where the IoffeRegel criterion holds only provided that higher orders of perturbation theory in electron-proton interaction are taken into account [16][17][18][19][20][21][22][23][24][25][26]. Since we only aim at estimating the order of magnitude of the effect, the electron scattering from neutral hydrogen atoms is neglected.…”

Section: Resultsmentioning

confidence: 99%

“…In the second order of perturbation theory in electron-ion interaction, the following expression may be derived in the high-temperature limit for the inverse relaxation time (the Ziman formula) [14,[16][17][18][19][20][21][22][23][24][25][26]:…”

Section: Metal-dielectric Transitionmentioning

confidence: 99%

“…These terms are fairly significant in the entire range where the metallic phase exists and are quite well studied in simple liquid metals [16][17][18][19][20][21][22][23][24][25]. Studies of these terms also began for metallic hydrogen in broad ranges of temperatures and densities [26].…”

Section: Introductionmentioning

confidence: 99%

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Metal-Dielectric Transition in Hydrogen

Shvets

Vlasenko

2008

Acta Phys. Pol. A

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The electrical resistivity of liquid metallic hydrogen at a temperature of 3000 K and a density of 0.35 mol/cm 3 is calculated. Hydrogen is considered as a three-component system consisting of electrons, protons, and neutral hydrogen atoms. The second order of perturbation theory in electron-proton and electron-atom interactions is used to determine the inverse relaxation time for electric conductivity. The Coulomb electron-electron interaction is taken into account in the random phase approximation and the exchange interaction and correlation of conductivity electrons are included in the local--field approximation. The model of hard spheres is used for the proton and atomic subsystems. The concentration of the electrically neutral atomic component proved to be significantly lower than the value assumed by the discoverers of metallic hydrogen.

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Section: Resultsmentioning

confidence: 99%

Section: Metal-dielectric Transitionmentioning

confidence: 99%

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Metal-Dielectric Transition in Hydrogen

Shvets

Vlasenko

2008

Acta Phys. Pol. A

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“…One of the effects of importance in considering the electron phenomena of transport in disordered metals is the inclusion of higher-order terms of perturbation theory with respect to electron-ion interaction. This latter effect is very significant in the entire range of existence of metal phase and is fairly well studied for simple liquid metals [13][14][15][16][17][18][19][20][21][22][23][24][25]. A study of this effect was started for metallic hydrogen in a wide range of temperatures and densities [26].…”

Section: Introductionmentioning

confidence: 99%

Electrical conductivity of metallic hydrogen as a ternary system

Shvets¹

2008

High Temp

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The electrical conductivity of metallic hydrogen is calculated at a temperature of 3000 K and density of 0.3 mol/cm 3 , which correspond to the conditions of its preparation under terrestrial conditions. Hydrogen is treated as a ternary system. One subsystem is provided by protons, and the second one-by neutral atoms of hydrogen. For the third, electron, subsystem, the model of nearly free electrons is used, and for inverse relaxation time for electrical conductivity-the second order of the perturbation theory with respect to electron-proton and electron-atom interactions. The Coulomb electron-electron interaction is included in the random-phase approximation, and the exchange interaction and correlations of conduction electrons-in the local-field approximation. The hard-sphere model is used for the proton and atomic subsystem. The electrostatic interaction alone is included as electron-atom interaction. The concentration of electroneutral atomic component is determined from the condition of agreement between the experimentally obtained and theoretical values of electrical resistance at temperature and density corresponding to the experimental conditions for preparation of metallic hydrogen. This concentration turns out to be 66%.

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“…In succeeding years the perturbation theory was developed and the numerical calculations of the terms up to the third order were accomplished (the detailed list of the corresponding papers is available in the work [2]). At present, the theory of the electron transport phenomena in the liquid simple metals has taken its complete shape.…”

Section: Introductionmentioning

confidence: 99%

Perturbation Theory for Electrical Resistivity of Liquid Transition Metals

Shvets¹,

Savenko²,

Datsko³

2002

Condens. Matter Phys.

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Nearly free electron model is used for the s-electron subsystem of liquid transition metals. d-electrons are considered to be bound and serve as an additional scattering factor. Model Hamiltonian of the electron subsystem contains two small parameters: pseudopotential of s-electron-ion interaction, and s-d hybridization potential. The linear response theory of Kubo and the method of two-time retarded Green functions are used to investigate the conductivity of the system. The perturbation series by two small system parameters are first derived for the electrical resistivity of liquid transition metals. To introduce the electron-electron interaction, a random phase approach is employed. The analysis of the second and the third terms of perturbation series is given. Their contribution to the electrical resistivity of all liquid transition metals is estimated.

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Choice of Pseudopotential and Electroresistance of Simple Disordered Metals

Cited by 16 publications

References 10 publications

Metal-Dielectric Transition in Hydrogen

Metal-Dielectric Transition in Hydrogen

Electrical conductivity of metallic hydrogen as a ternary system

Perturbation Theory for Electrical Resistivity of Liquid Transition Metals

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