144 research outputs found
Absence of boron aggregates in superconducting silicon confirmed by atom probe tomography
Superconducting boron-doped silicon films prepared by gas immersion laser
doping (GILD) technique are analyzed by atom probe tomography. The resulting
three-dimensional chemical composition reveals that boron atoms are
incorporated into crystalline silicon in the atomic percent concentration
range, well above their solubility limit, without creating clusters or
precipitates at the atomic scale. The boron spatial distribution is found to be
compatible with local density of states measurements performed by scanning
tunneling spectroscopy. These results, combined with the observations of very
low impurity level and of a sharp two-dimensional interface between doped and
undoped regions show, that the Si:B material obtained by GILD is a well-defined
random substitutional alloy endowed with promising superconducting properties.Comment: 4 page
Multicomponent Skyrmion lattices and their excitations
We study quantum Hall ferromagnets with a finite density topologically
charged spin textures in the presence of internal degrees of freedom such as
spin, valley, or layer indices, so that the system is parametrised by a
-component complex spinor field. In the absence of anisotropies, we find
formation of a hexagonal Skyrmion lattice which completely breaks the
underlying SU(d) symmetry. The ground state charge density modulation, which
inevitably exists in these lattices, vanishes exponentially in . We compute
analytically the complete low-lying excitation spectrum, which separates into
gapless acoustic magnetic modes and a magnetophonon. We discuss the
role of effective mass anisotropy for SU(3)-valley Skyrmions relevant for
experiments with AlAs quantum wells. Here, we find a transition, which breaks a
six-fold rotational symmetry of a triangular lattice, followed by a formation
of a square lattice at large values of anisotropy strength.Comment: 4.5 pages, 3 figure
Holomorphic symmetric differentials and a birational characterization of Abelian Varieties
A generically generated vector bundle on a smooth projective variety yields a
rational map to a Grassmannian, called Kodaira map. We answer a previous
question, raised by the asymptotic behaviour of such maps, giving rise to a
birational characterization of abelian varieties.
In particular we prove that, under the conjectures of the Minimal Model
Program, a smooth projective variety is birational to an abelian variety if and
only if it has Kodaira dimension 0 and some symmetric power of its cotangent
sheaf is generically generated by its global sections.Comment: UPDATED: more details added on main proo
Elliptic curve configurations on Fano surfaces
The elliptic curves on a surface of general type constitute an obstruction
for the cotangent sheaf to be ample. In this paper, we give the classification
of the configurations of the elliptic curves on the Fano surface of a smooth
cubic threefold. That means that we give the number of such curves, their
intersections and a plane model. This classification is linked to the
classification of the automorphism groups of theses surfaces.Comment: 17 pages, accepted and shortened version, the rest will appear in
"Fano surfaces with 12 or 30 elliptic curves
Elastohydrodynamic Lift at a Soft Wall
We study experimentally the motion of nondeformable microbeads in a linear shear flow close to a wall bearing a thin and soft polymer layer. Combining microfluidics and 3D optical tracking, we demonstrate that the steady-state bead-to-surface distance increases with the flow strength. Moreover, such lift is shown to result from flow-induced deformations of the layer, in quantitative agreement with theoretical predictions from elastohydrodynamics. This study thus provides the first experimental evidence of “soft lubrication” at play at small scale, in a system relevant, for example, to the physics of blood microcirculation
Fibrations on four-folds with trivial canonical bundles
Four-folds with trivial canonical bundles are divided into six classes
according to their holonomy group. We consider examples that are fibred by
abelian surfaces over the projective plane. We construct such fibrations in
five of the six classes, and prove that there is no such fibration in the sixth
class. We classify all such fibrations whose generic fibre is the Jacobian of a
genus two curve.Comment: 28 page
Menelaus relation and Fay's trisecant formula are associativity equations
It is shown that the celebrated Menelaus relation and Fay's trisecant formula
similar to the WDVV equation are associativity conditions for structure
constants of certain three-dimensional algebra.Comment: Talk given at the Conference " Mathematics and Physics of Solitons
and Integrable Systems", Dijon, 28.6-2.7, 2009. Minor misprints correcte
Dynamical Mordell-Lang conjecture for birational polynomial morphisms on
We prove the dynamical Mordell-Lang conjecture for birational polynomial
morphisms on
On special quadratic birational transformations of a projective space into a hypersurface
We study transformations as in the title with emphasis on those having smooth
connected base locus, called "special". In particular, we classify all special
quadratic birational maps into a quadric hypersurface whose inverse is given by
quadratic forms by showing that there are only four examples having general
hyperplane sections of Severi varieties as base loci.Comment: Accepted for publication in Rendiconti del Circolo Matematico di
Palerm
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