Igor S. Beloborodov
Superconductivity
in Granular Metals
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Neuerscheinung August 2000
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Dissertation Thesis - Bochum University Press, Bochum 2000 (Physik/Physics;
vol 1), x, 86 pp., DM 29.00 / EUR 14.83 / USD 14.50 ISBN 3-934453-11-2;
Series Physics, ISSN 1616-2811, vol. 2
The thesis of Igor Beloborodov is devoted to study of
several interesting aspects of superconductivity in granulated materials.
The theoretical investigation presented here is motivated by recent experiments
performed in leading laboratories in the world. Although there are many
peculiar features of the systems that make them interesting to experimentalists
and material scientists, theory of granulated conductors and superconductors
is quite complicated and not less interesting. It demands development of
new methods and one can expect new effects that can be directly compared
with existing experiments.
Several different problems are considered in detail in
the present thesis. The first part of the work is devoted to calculation
of the resistivity in a granulated superconductor in the situation when
the superconducting gap is destroyed by a strong magnetic field. It contains
a nice demonstration that when decreasing the magnetic field the resistivity
first grows and only later drops to zero. This can explain an experiment
carried out recently where such an effect was observed. In the second part
the author considers the density of states in a single superconducting
grain in the presence of magnetic impurities. Although, some qualitative
considerations existed in the literature the method of calculations and
the calculations themselves are completely original and the density of
states is found explicitly. The third part contains a work that has not
been finished yet. However, these preliminary results already show that
a phenomenon of the so called "quantum dissipation" which is under intensive
discussion in the last two decades, may be quite different from the usually
excepted picture.
The results obtained in the thesis are performed using
modern methods of theoretical physics including diagrammatic expansions,
random matrix theory, functional integrations, etc. At the same time, a
discussion of experiments is also presented. Reading of the thesis can
be of a great help for researches who want to learn what is going in the
physics of mesoscopic and granulated conductors and superconductors.
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