Condensed Matter Physics, 2006, vol. 9, No. 1(45), p. 127133, English
DOI:10.5488/CMP.9.1.127
Title:
Ionic interaction and conductivity of metallic hydrogen
Author(s):
 V.T.Shvets
(Odesa State Academy of Refrigeration1\/3 Dvoryanska
str., 65026, Odesa, Ukraine)
,

 S.V.Savenko
(Odesa State Academy of
Refrigeration1\/3 Dvoryanska str., 65026, Odesa, Ukraine; Debye
Institute, Soft Condensed Matter, Utrecht University,
Princetonplein 5, 3584 CC Utrecht, The Netherlands)
,

 Ye.K.Malynovski
(Odesa State Academy of Refrigeration1\/3
Dvoryanska str., 65026, Odesa, Ukraine)

We calculate the electroresistivity of metallic hydrogen within
the framework of perturbation theory in electronproton
interaction. To this end we employ the Kubo linear response theory
while using the twotime 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 PercusYevick 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.
Key words: metallic hydrogen, electrical conductivity
PACS: 71.10.+x, 72.10.Bg, 72.15.Cz
