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In this thesis I deal with two effects which are related to the
Quantum Hall systems. In Chapter 2
I study the Coulomb magneto-drag, particularly concentrating on the
question of the so-called anomalous drag recently observed
experimentally. The observed sign reversal of the
drag signal poses an intriguing task for theoretical investigations.
Chapter 3 is an attempt to predict possible a Jahn-Teller
effect in Si inverse layers. There I consider the interplay between
the valley splitting, the electron-phonon and electron-electron
interactions in these systems and their effect on the ground state
and low-lying skyrmionic excitations.
Comment: 10 pages
Scanning tunneling miscoscopy is one of the most powerful spectroscopic tools
for single-electron excitations. We show that the conductance fluctuations, or
noise in the conductance, of a tunneling current into an interacting electron
system is dominated by density-density and spin-spin correlations. This allows
one to probe two-particle properties (susceptibilities) and collective
excitations by standard experimental tunneling methods. We demonstrate this
theoretically, using a novel many-body calculation for the multi-center Kondo
problem, including both direct and indirect exchange between magnetic atoms. An
example of the two-particle correlations around a single magnetic adatom in the
Kondo regime, as would be viewed by a scanning tunneling microscope, is given.
The spatial dependance of the charge and spin correlations, includi...
