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- W932646942 abstract "Electrons can form stable two-dimensional systems above the surface of dielectric substances like superuid liquid helium (LHe). Due to the extreme purity and smoothness of the LHe surface, electrons on bulk LHe proved to be a versatile (with respect to the facility for changing physical parameters like temperature and magnetic eld, but especially electron density) and clean (with respect to electron interactions) system. In this thesis, we model the dynamics of two-dimensional electron systems (TDES) on deformed superuid liqui helium (LHe) lms that wet a periodically structured surface exhibiting troughs and peaks and report measurements of the admittance of such TDES for dierent electron densities and temperatures, as a function of a magnetic eld perpendicular to the TDES. We develop the necessary formalism regarding the prole rst of an uncharged and then of a charged LHe lm (i.e when TDES are present) that wets an idealized prole of the substrate surface. We show that a suciently thin LHe lm is deformed so that periodical troughs and peaks develop. We nd that the trough prole is parabolic. We present the general form of the potential prole that would have been experienced by a single electron (i.e interactions among electrons are ignored) both in the troughs and on the peaks of a LHe lm that wets a perfect substrate (i.e substrate roughness is ignored). Electron potential is parabolic in the troughs and constant on the peaks; thus, a parabolic potential well forms inside the troughs. Having obtained the potential, we proceed to derive the hamiltonian of a single electron both inside a trough and on a peak, in the presence of a static electric and magnetic elds perpendicular to the substrate surface. e energy spectrum of the resulting Darwin-Fock hamiltonian indicates that electron motion is essentially a two-dimensional quantum oscillator, but the cyclical frequency (equivalently, the quantum of oscillation) is much greater inside the troughs than on the peaks. We introduce the statistical equilibrium equation for TDES on a deformed LHe lm. is equation determines the fraction of electrons that reside on the troughs and peaks at any instant in equilibrium for a given magnetic eld, electron density and temperature. We also introduce the concept of ow admittance, which arises for TDES on deformed LHe lms when the magnetic eld is altered. In summary, we suggest that TDES on deformed LHe lms partition themselves in two fractions, one for electrons in troughs and another for electrons on the peaks of the lm surface. Electrons perform Landau oscillations on the peaks and Darwin-Fock oscillations in the troughs: the latter have a smaller classical radius (localization is stronger) than the former. For changing magnetic eld, electrons ow to and from the peaks: an additional “ow admittance” arises, that should be dominant for very high magnetic elds, low temperatures and low electron densities. e behavior of the experimentally measured admittance can be attributed to changes in the fraction of peak electrons and the ow admittance." @default.
- W932646942 created "2016-06-24" @default.
- W932646942 creator A5070667233 @default.
- W932646942 date "2010-01-01" @default.
- W932646942 modified "2023-09-24" @default.
- W932646942 title "Surface State Electron Dynamics on Deformed Liquid Helium Films" @default.
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