3,869 research outputs found
Ge growth on ion-irradiated Si self-affine fractal surfaces
We have carried out scanning tunneling microscopy experiments under ultrahigh
vacuum condition to study the morphology of ultrathin Ge films eposited on
pristine Si(100) and ion-irradiated Si(100) self-affine fractal surfaces. The
pristine and the ion-irradiated Si(100) surface have roughness exponents of
alpha=0.19+/-0.05 and alpha=0.82+/-0.04 respectively. These measurements were
carried out on two halves of the same sample where only one half was
ion-irradiated. Following deposition of a thin film of Ge (~6 A) the roughness
exponents change to 0.11+/-0.04 and 0.99+/-0.06, respectively. Upon Ge
deposition, while the roughness increases by more than an order of magnitude on
the pristine surface, a smoothing is observed for the ion-irradiated surface.
For the ion-irradiated surface the correlation length xi increases from 32 nm
to 137 nm upon Ge deposition. Ge grows on Si surfaces in the Stranski-Krastanov
or layer-plus-island mode where islands grow on a wetting layer of about three
atomic layers. On the pristine surface the islands are predominantly of square
or rectangular shape, while on the ion-irradiated surface the islands are
nearly diamond shaped. Changes of adsorption behaviour of deposited atoms
depending on the roughness exponent (or the fractal dimension) of the substrate
surface are discussed.Comment: 5 pages, 2 figures and 1 tabl
Nanoscale self-affine surface smoothing by ion bombardment
The topography of silicon surfaces irradiated by a 2-MeV Si+ ion beam at normal incidence and ion fluences in the range 1015-1016ions/cm2 has been investigated using scanning tunneling microscopy. At length scales below ~50 nm, surface smoothing is observed; the smoothing is more prominent at smaller length scales. The smoothed surface is self-affine with a scaling exponent α=0.53± 0.03
Band Structure of the Fractional Quantum Hall Effect
The eigenstates of interacting electrons in the fractional quantum Hall phase
typically form fairly well defined bands in the energy space. We show that the
composite fermion theory gives insight into the origin of these bands and
provides an accurate and complete microscopic description of the strongly
correlated many-body states in the low-energy bands. Thus, somewhat like in
Landau's fermi liquid theory, there is a one-to-one correspondence between the
low energy Hilbert space of strongly interacting electrons in the fractinal
quantum Hall regime and that of weakly interacting electrons in the integer
quantum Hall regime.Comment: 10 page
Anisotropic static solutions in modelling highly compact bodies
Einstein field equations for anisotropic spheres are solved and exact
interior solutions obtained. This paper extends earlier treatments to include
anisotropic models which accommodate a wider variety of physically viable
energy densities. Two classes of solutions are possible. The first class
contains the limiting case for the energy density which
arises in many astrophysical applications. In the second class the singularity
at the center of the star is not present in the energy density. The models
presented in this paper allow for increasing and decreasing profiles in the
behavior of the energy density.Comment: 9 pages, to appear in Pramana - J. Phy
A new algorithm for anisotropic solutions
We establish a new algorithm that generates a new solution to the Einstein
field equations, with an anisotropic matter distribution, from a seed isotropic
solution. The new solution is expressed in terms of integrals of an isotropic
gravitational potential; and the integration can be completed exactly for
particular isotropic seed metrics. A good feature of our approach is that the
anisotropic solutions necessarily have an isotropic limit. We find two examples
of anisotropic solutions which generalise the isothermal sphere and the
Schwarzschild interior sphere. Both examples are expressed in closed form
involving elementary functions only.Comment: 16 pages, to appear in Pramana - J. Phy
Neutrino Mass Hierarchy and neutron-anti-neutron Oscillation from Baryogenesis
It has been recently proposed that the matter-antimatter asymmetry of the
universe may have its origin in "post-sphaleron baryogenesis" (PSB). It is a
TeV scale mechanism that is testable at the LHC and other low energy
experiments. In this paper we present a theory of PSB within a quark-lepton
unified scheme based on the gauge group
that allows a direct connection between the baryon asymmetry and neutrino mass
matrix. The flavor changing neutral current constraints on the model allow
successful baryogenesis only for an inverted mass hierarchy for neutrinos,
which can be tested in the proposed long base line neutrino experiments. The
model also predicts observable neutron--antineutron oscillation accessible to
the next generation of experiments as well as TeV scale colored scalars within
reach of LHC.Comment: 23 pages and seven figures; Fifure 4 replaced; references updated;
typos correcte
Light propagation in nanorod arrays
We study propagation of TM- and TE-polarized light in two-dimensional arrays
of silver nanorods of various diameters in a gelatin background. We calculate
the transmittance, reflectance and absorption of arranged and disordered
nanorod arrays and compare the exact numerical results with the predictions of
the Maxwell-Garnett effective-medium theory. We show that interactions between
nanorods, multipole contributions and formations of photonic gaps affect
strongly the transmittance spectra that cannot be accounted for in terms of the
conventional effective-medium theory. We also demonstrate and explain the
degradation of the transmittance in arrays with randomly located rods as well
as weak influence of their fluctuating diameter. For TM modes we outline the
importance of skin-effect, which causes the full reflection of the incoming
light. We then illustrate the possibility of using periodic arrays of nanorods
as high-quality polarizers.Comment: 6 pages, 7 figure
Half-Integral Spin-Singlet Quantum Hall Effect
We provide numerical evidence that the ground state of a short range
interaction model at is incompressible and spin-singlet for a wide
range of repulsive interactions. Furthermore it is accurately described by a
trial wave function studied earlier. For the Coulomb interaction we find that
this wave function provides a good description of the lowest lying spin-singlet
state, and propose that fractional quantum Hall effect would occur at
if this state became the global ground state.Comment: Latex 13 pages, 3 figures upon reques
Compact anisotropic spheres with prescribed energy density
New exact interior solutions to the Einstein field equations for anisotropic
spheres are found. We utilise a procedure that necessitates a choice for the
energy density and the radial pressure. This class contains the constant
density model of Maharaj and Maartens (Gen. Rel. Grav., Vol 21, 899-905, 1989)
and the variable density model of Gokhroo and Mehra (Gen. Rel. Grav., Vol 26,
75-84, 1994) as special cases. These anisotropic spheres match smoothly to the
Schwarzschild exterior and gravitational potentials are well behaved in the
interior. A graphical analysis of the matter variables is performed which
points to a physically reasonable matter distribution.Comment: 22 pages, 3 figures, to appear in Gen. Rel. Gra
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