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Semiconductor devices and methods
A method of forming a semiconductor device includes the following steps: providing a plurality of semiconductor layers; providing means for coupling signals to and/or from layers of the device; providing a quantum well disposed between adjacent layers of the device; and providing a layer of quantum dots disposed in one of the adjacent layers, and spaced from the quantum well, whereby carriers can tunnel in either direction between the quantum well and the quantum dots.Board of Regents, University of Texas Syste
Dynamics of sliding drops on superhydrophobic surfaces
We use a free energy lattice Boltzmann approach to investigate numerically
the dynamics of drops moving across superhydrophobic surfaces. The surfaces
comprise a regular array of posts small compared to the drop size. For drops
suspended on the posts the velocity increases as the number of posts decreases.
We show that this is because the velocity is primarily determined by the
contact angle which, in turn, depends on the area covered by posts. Collapsed
drops, which fill the interstices between the posts, behave in a very different
way. The posts now impede the drop behaviour and the velocity falls as their
density increases.Comment: 7 pages, 4 figures, accepted for publication in Europhys. Let
Rheology of cholesteric blue phases
Blue phases of cholesteric liquid crystals offer a spectacular example of
naturally occurring disclination line networks. Here we numerically solve the
hydrodynamic equations of motion to investigate the response of three types of
blue phases to an imposed Poiseuille flow. We show that shear forces bend and
twist and can unzip the disclination lines. Under gentle forcing the network
opposes the flow and the apparent viscosity is significantly higher than that
of an isotropic liquid. With increased forcing we find strong shear thinning
corresponding to the disruption of the defect network. As the viscosity starts
to drop, the imposed flow sets the network into motion. Disclinations break-up
and re-form with their neighbours in the flow direction. This gives rise to
oscillations in the time-dependent measurement of the average stress.Comment: 4 pages, 4 figure
Quantum non-malleability and authentication
In encryption, non-malleability is a highly desirable property: it ensures
that adversaries cannot manipulate the plaintext by acting on the ciphertext.
Ambainis, Bouda and Winter gave a definition of non-malleability for the
encryption of quantum data. In this work, we show that this definition is too
weak, as it allows adversaries to "inject" plaintexts of their choice into the
ciphertext. We give a new definition of quantum non-malleability which resolves
this problem. Our definition is expressed in terms of entropic quantities,
considers stronger adversaries, and does not assume secrecy. Rather, we prove
that quantum non-malleability implies secrecy; this is in stark contrast to the
classical setting, where the two properties are completely independent. For
unitary schemes, our notion of non-malleability is equivalent to encryption
with a two-design (and hence also to the definition of Ambainis et al.). Our
techniques also yield new results regarding the closely-related task of quantum
authentication. We show that "total authentication" (a notion recently proposed
by Garg, Yuen and Zhandry) can be satisfied with two-designs, a significant
improvement over the eight-design construction of Garg et al. We also show
that, under a mild adaptation of the rejection procedure, both total
authentication and our notion of non-malleability yield quantum authentication
as defined by Dupuis, Nielsen and Salvail.Comment: 20+13 pages, one figure. v2: published version plus extra material.
v3: references added and update
Jetting Micron-Scale Droplets onto Chemically Heterogeneous Surfaces
We report experiments investigating the behaviour of micron-scale fluid
droplets jetted onto surfaces patterned with lyophobic and lyophilic stripes.
The final droplet shape depends on the droplet size relative to that of the
stripes. In particular when the droplet radius is of the same order as the
stripe width, the final shape is determined by the dynamic evolution of the
drop and shows a sensitive dependence on the initial droplet position and
velocity. Numerical solutions of the dynamical equations of motion of the drop
provide a close quantitative match to the experimental results. This proves
helpful in interpreting the data and allows for accurate prediction of fluid
droplet behaviour for a wide range of surfaces.Comment: 14 pages, accepted for publication in Langmui
Dimensional crossover and metal-insulator transition in quasi-two-dimensional disordered conductors
We study the metal-insulator transition (MIT) in weakly coupled disordered
planes on the basis of a Non-Linear Sigma Model (NLM). Using two
different methods, a renormalization group (RG) approach and an auxiliary field
method, we calculate the crossover length between a 2D regime at small length
scales and a 3D regime at larger length scales. The 3D regime is described by
an anisotropic 3D NLM with renormalized coupling constants. We obtain
the critical value of the single particle interplane hopping which separates
the metallic and insulating phases. We also show that a strong parallel
magnetic field favors the localized phase and derive the phase diagram.Comment: 16 pages (RevTex), 4 poscript figure
The accretion-diffusion scenario for metals in cool white dwarfs
We calculated diffusion timescales for Ca, Mg, Fe in hydrogen atmosphere
white dwarfs with temperatures between 5000 and 25000 K. With these timescales
we determined accretion rates for a sample of 38 DAZ white dwarfs from the
recent studies of Zuckerman et al. (2003) and Koester et al. (2005). Assuming
that the accretion rates can be calculated with the Bondi-Hoyle formula for
hydrodynamic accretion, we obtained estimates for the interstellar matter
density around the accreting objects. These densities are in good agreement
with new data about the warm, partially ionized phase of the ISM in the solar
neighborhood.Comment: To be published in A&
The Ultramassive White Dwarf EUVE J1746-706
We have obtained new optical and extreme ultraviolet (EUV) spectroscopy of
the ultramassive white dwarf EUVE J1746-706. We revise Vennes et al.'s (1996a,
ApJ, 467, 784) original estimates of the atmospheric parameters and we measure
an effective temperature of 46,500 +/- 700 K and a surface gravity log g = 9.05
+/- 0.15 (~1.2 M_o), in agreement with Balmer line profiles and the EUV
continuum. We derive an upper limit on the atmospheric abundance of helium of
He/H = 1.3 x 10^{-4} and a neutral hydrogen column density in the local
interstellar medium N_HI = 1.8 +/- 0.4 x 10^{19} cm^{-2} from the EUV spectrum.
Our upper limit corresponds to half the helium abundance observed in the
atmosphere of the ultramassive white dwarf GD 50. We discuss the possibility
that EUVE J1746-706 represents an earlier phase of evolution relative to GD 50
and may, therefore, help us understand the origin and evolution of massive
white dwarfs.Comment: 6 pages, 4 postscript figures, uses aastex, to be published in ApJ
Letter
Control of drop positioning using chemical patterning
We explore how chemical patterning on surfaces can be used to control drop
wetting. Both numerical and experimental results are presented to show how the
dynamic pathway and equilibrium shape of the drops are altered by a hydrophobic
grid. The grid proves a successful way of confining drops and we show that it
can be used to alleviate {\it mottle}, a degradation in image quality which
results from uneven drop coalescence due to randomness in the positions of the
drops within the jetted array.Comment: 3 pages, 4 figure
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