Ionic interaction and conductivity of metallic hydrogen

We calculate the electroresistivity of metallic hydrogen within the framework of perturbation theory in electron-proton interaction. To this end we employ the Kubo linear response theory while using the two-time retarded Green functions method to calculate the relaxation time. The expressions for th...

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Main Authors: Ye.K.Malynovski, S.V.Savenko, V.T.Shvets
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2006-01-01
Series:Condensed Matter Physics
Subjects:
Online Access:http://dx.doi.org/10.5488/CMP.9.1.127
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author Ye.K.Malynovski
S.V.Savenko
V.T.Shvets
author_facet Ye.K.Malynovski
S.V.Savenko
V.T.Shvets
author_sort Ye.K.Malynovski
collection DOAJ
description We calculate the electroresistivity of metallic hydrogen within the framework of perturbation theory in electron-proton interaction. To this end we employ the Kubo linear response theory while using the two-time retarded Green functions method to calculate the relaxation time. The expressions for the second and third order contributions are given. To describe the electron subsystem, the random phase approximation is used, allowing for the exchange interactions and correlations in a local field approximation. Thermodynamics of the proton subsystem is assumed to be given by the Percus-Yevick equation. At a given density and temperature the only parameter of the theory is the hard sphere diameter, which is calculated from effective pair ionic interaction. For a completely degenerated electron gas, the latter is determined by the density of the system. The dependence of the second and the third order contributions on the parameters of the theory is investigated. For all densities and temperatures examined here the third order contribution constitutes more than half of the second order term. The corresponding magnitude of resistivity is about 100-250μΩ cm.
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spelling doaj.art-8dc47095829542be8e31dc7648985a282022-12-22T00:58:53ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2006-01-019112713310.5488/CMP.9.1.127Ionic interaction and conductivity of metallic hydrogenYe.K.MalynovskiS.V.SavenkoV.T.ShvetsWe calculate the electroresistivity of metallic hydrogen within the framework of perturbation theory in electron-proton interaction. To this end we employ the Kubo linear response theory while using the two-time retarded Green functions method to calculate the relaxation time. The expressions for the second and third order contributions are given. To describe the electron subsystem, the random phase approximation is used, allowing for the exchange interactions and correlations in a local field approximation. Thermodynamics of the proton subsystem is assumed to be given by the Percus-Yevick equation. At a given density and temperature the only parameter of the theory is the hard sphere diameter, which is calculated from effective pair ionic interaction. For a completely degenerated electron gas, the latter is determined by the density of the system. The dependence of the second and the third order contributions on the parameters of the theory is investigated. For all densities and temperatures examined here the third order contribution constitutes more than half of the second order term. The corresponding magnitude of resistivity is about 100-250μΩ cm.http://dx.doi.org/10.5488/CMP.9.1.127metallic hydrogenelectrical conductivity
spellingShingle Ye.K.Malynovski
S.V.Savenko
V.T.Shvets
Ionic interaction and conductivity of metallic hydrogen
Condensed Matter Physics
metallic hydrogen
electrical conductivity
title Ionic interaction and conductivity of metallic hydrogen
title_full Ionic interaction and conductivity of metallic hydrogen
title_fullStr Ionic interaction and conductivity of metallic hydrogen
title_full_unstemmed Ionic interaction and conductivity of metallic hydrogen
title_short Ionic interaction and conductivity of metallic hydrogen
title_sort ionic interaction and conductivity of metallic hydrogen
topic metallic hydrogen
electrical conductivity
url http://dx.doi.org/10.5488/CMP.9.1.127
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AT svsavenko ionicinteractionandconductivityofmetallichydrogen
AT vtshvets ionicinteractionandconductivityofmetallichydrogen