Speaker
S. P. Sadykova
Description
See the full Abstract at http://ocs.ciemat.es/EPS2018ABS/pdf/P2.4020.pdf
The electric field of an electron in a electron-hole plasma with degenerate
electrons
S. P. Sadykova1 , A. A. Rukhadze2
1 Forschungszentrum Julich (Jlm.), Jülich, Germany
2 Prokhorov General Physics Institute, RAS, Vavilov Str. 38., Moscow, 119991, Russia
We consider the conditions for formation of a superconductivity state either in a semicon-
ductor or in a electron-hole plasma with the degenerate electrons due to the attractive forces
between the electrons as a result of the exchange effects through the electron-hole sound wave
by analogy to the phonon waves in a solid state. One of the major unsolved problems of the
superconductivity theory is determination of the static potential of a point electron. We have
determined the view of an interaction potential between two electrons in a degenerate electron-
hole plasma (1) with non-degenerate holes. The potential appears to be attractive at distances
large than the Debye radius and decreases as 1/r3 , See Fig.1. We discuss the conditions at which
the bound electron state - Cooper Pair in a such field can be formed. The interaction potential
of two electrons α and β in a electron-hole plasma can be described by the following equation
[1]: Z
~ eα eβ 1
U(r) = eık~rU(~k)d~k, U(k) = , (1)
2π 2 k2 ε l (kVα , k)
where [2]
3ωL−
2 ωL+
2 3π Vα ωL−
2
k ε (kVα , k) = k + 2 − 2 + ıβ , β =
2 l 2
3
, (2)
VF− Vα VF−
here Vα is the speed of a test electron with the charge eα producing the potential φα at a point
r = 0 where the charge eβ is located; VF− - the speed of a weakly damped electron-hole sound
wave, ωL+,L− - the hole and electron Langmuir frequencies.
References
[1] E. M. Livshits , L.P. Pitaevsky , Physical Kinetics (Pergamon Press,
London, 1982).
[2] A.F. Alexandrov, L.S. Bogdankevich, A.A. Rukhadze, Principles
of Plasma Electrodynamics (Springer, Heidelberg, 1984), pp. 167-
170.
Figure 1: The potential (1) where
1
the integration till the k ≤ rDi was
r
performed, here R = rDe
