2,325 research outputs found
Canonical matrices of bilinear and sesquilinear forms
Canonical matrices are given for
(a) bilinear forms over an algebraically closed or real closed field;
(b) sesquilinear forms over an algebraically closed field and over real
quaternions with any nonidentity involution; and
(c) sesquilinear forms over a field F of characteristic different from 2 with
involution (possibly, the identity) up to classification of Hermitian forms
over finite extensions of F.
A method for reducing the problem of classifying systems of forms and linear
mappings to the problem of classifying systems of linear mappings is used to
construct the canonical matrices. This method has its origins in representation
theory and was devised in [V.V. Sergeichuk, Math. USSR-Izv. 31 (1988) 481-501].Comment: 44 pages; misprints corrected; accepted for publication in Linear
Algebra and its Applications (2007
Recurrent goiter and amenorrhea-galactorrhea Syndrome in a patient with a thyrotrophin- and prolactin-producing pituitary adenoma
Memory Effect and Triplet Pairing Generation in the Superconducting Exchange Biased Co/CoOx/Cu41Ni59/Nb/Cu41Ni59 Layered Heterostructure
We fabricated a nanolayered hybrid superconductor-ferromagnet spin-valve
structure, the resistive state of which depends on the preceding magnetic field
polarity. The effect is based on a strong exchange bias (about -2 kOe) on a
diluted ferromagnetic copper-nickel alloy and generation of a long range odd in
frequency triplet pairing component. The difference of high and low resistance
states at zero magnetic field is 90% of the normal state resistance for a
transport current of 250 {\mu}A and still around 42% for 10 {\mu}A. Both logic
states of the structure do not require biasing fields or currents in the idle
mode.Comment: 9 pages, 4 figures, Accepted to Applied Physics Letter
Reentrant Superconductivity and Superconducting Critical Temperature Oscillations in F/S/F trilayers of Cu41Ni59/Nb/Cu41Ni59 Grown on Cobalt Oxide
Ferromagnet/Superconductor/Ferromagnet (F/S/F) trilayers constitute the core
of a superconducting spin valve. The switching effect of the spin valve is
based on interference phenomena occurring due to the proximity effect at the
S/F interfaces. A remarkable effect is only expected if the core structure
exhibits strong critical temperature oscillations, or most favorable, reentrant
superconductivity, when the thickness of the ferromagnetic layer is increased.
The core structure has to be grown on an antiferromagnetic oxide layer (or such
layer to be placed on top) to pin by exchange bias the
magnetization-orientation of one of the ferromagnetic layers. In the present
paper we demonstrate that this is possible, keeping the superconducting
behavior of the core structure undisturbed.Comment: 22 pages, 12 figures, 1 tabl
Chain Formation by Spin Pentamers in eta-Na9V14O35
The nature of the gapped ground state in the quasi-one-dimensional compound
eta-Na9V14O35 cannot easily be understood, if one takes into account the odd
number of spins on each structural element. Combining the results of specific
heat, susceptibility and electron spin resonance measurements we show that
eta-Na9V14O35 exhibits a novel ground state where multi-spin objects build up a
linear chain. These objects - pentamers - consist of five antiferromagnetically
arranged spins with effective spin 1/2. Their spatial extent results in an
exchange constant along the chain direction comparable to the one in the
high-temperature state.Comment: 6 pages, 5 figure
A new criteria for zero quantum discord
We propose a new criterion to judge zero quantum discord for arbitrary
bipartite states. A bipartite quantum state has zero quantum discord if and
only if all blocks of its density matrix are normal matrices and commute with
each other. Given a bipartite state with zero quantum discord, how to find out
the set of local projectors, which do not disturb the whole state after being
imposed on one subsystem, is also presented. A class of two-qubit X-state is
used to test the criterion, and an experimental scheme is proposed to realize
it. Consequently, we prove that the positive operator-valued measurement can
not extinguish the quantum correlation of a bipartite state with nonzero
quantum discord.Comment: 10 pages, 1 figur
Selecting a single orientation for millimeter sized graphene sheets
We have used Low Energy Electron Microscopy (LEEM) and Photo Emission
Electron Microscopy (PEEM) to study and improve the quality of graphene films
grown on Ir(111) using chemical vapor deposition (CVD). CVD at elevated
temperature already yields graphene sheets that are uniform and of monatomic
thickness. Besides domains that are aligned with respect to the substrate,
other rotational variants grow. Cyclic growth exploiting the faster growth and
etch rates of the rotational variants, yields films that are 99 % composed of
aligned domains. Precovering the substrate with a high density of graphene
nuclei prior to CVD yields pure films of aligned domains extending over
millimeters. Such films can be used to prepare cluster-graphene hybrid
materials for catalysis or nanomagnetism and can potentially be combined with
lift-off techniques to yield high-quality, graphene based electronic devices
Surface Morphology and Strain Relief in Surfactant Mediated Growth of Germanium on Silicon (111)
The growth of Ge on Si is strongly modified by adsorbates called surfactants. The relevance of the stress on surface morphology and the growth mode of Ge on Si(111) is presented in a detailed in situ study by high resolution low energy electron diffraction (LEED) during the deposition. The change from islanding to layer-by-layer growth mode is seen in the oscillatory intensity behaviour of the 00-spot. As a strain relief mechanism, the Ge-film forms a microscopic rough surface of small triangular and defect-free pyramids in the pseudomorphic growth regime up to 8 monolayers. As soon as the pyramids are completed and start to coalesce, strain relieving defects are created at their base, finally arranging to the dislocation network. Without the driving force for the micro-roughness, the stress, the surface flattens again showing a much larger terrace length. The formation process of the dislocation network results in a spot splitting in LEED, since the periodic dislocations at the interface give rise to elastic deformation of the surface. Surprisingly the Ge-film is relaxed to 70% immediately after 8 monolayers of coverage, which is attributed to the micro rough surface morphology, providing innumerous nucleation sites for dislocation
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