3,955 research outputs found
New string vacua from twistor spaces
We find a new family of AdS_4 vacua in IIA string theory. The internal space
is topologically either the complex projective space CP^3 or the "flag
manifold" SU(3)/(U(1)xU(1)), but the metric is in general neither Einstein nor
Kaehler. All known moduli are stabilized by fluxes, without using quantum
effects or orientifold planes. The analysis is completely ten--dimensional and
does not rely on assumptions about Kaluza--Klein reduction.Comment: 19 pages. v3: published version, further minor correction
The Linear-Quadratic Control Problem for Retarded Systems with Delays in Control and Observation
Nanoscale magnetic structure of ferromagnet/antiferromagnet manganite multilayers
Polarized Neutron Reflectometry and magnetometry measurements have been used
to obtain a comprehensive picture of the magnetic structure of a series of
La{2/3}Sr{1/3}MnO{3}/Pr{2/3}Ca{1/3}MnO{3} (LSMO/PCMO) superlattices, with
varying thickness of the antiferromagnetic (AFM) PCMO layers (0<=t_A<=7.6 nm).
While LSMO presents a few magnetically frustrated monolayers at the interfaces
with PCMO, in the latter a magnetic contribution due to FM inclusions within
the AFM matrix was found to be maximized at t_A~3 nm. This enhancement of the
FM moment occurs at the matching between layer thickness and cluster size,
where the FM clusters would find the optimal strain conditions to be
accommodated within the "non-FM" material. These results have important
implications for tuning phase separation via the explicit control of strain.Comment: 4 pages, submitted to PR
An exact sequence for contact- and symplectic homology
A symplectic manifold with contact type boundary induces
a linearization of the contact homology of with corresponding linearized
contact homology . We establish a Gysin-type exact sequence in which the
symplectic homology of maps to , which in turn maps to
, by a map of degree -2, which then maps to . Furthermore, we
give a description of the degree -2 map in terms of rational holomorphic curves
with constrained asymptotic markers, in the symplectization of .Comment: Final version. Changes for v2: Proof of main theorem supplemented
with detailed discussion of continuation maps. Description of degree -2 map
rewritten with emphasis on asymptotic markers. Sec. 5.2 rewritten with
emphasis on 0-dim. moduli spaces. Transversality discussion reorganized for
clarity (now Remark 9). Various other minor modification
Berry's phase contribution to the anomalous Hall effect of gadolinium
When conduction electrons are forced to follow the local spin texture, the
resulting Berry phase can induce an anomalous Hall effect (AHE). In gadolinium,
as in double-exchange magnets, the exchange interaction is mediated by the
conduction electrons and the AHE may therefore resemble that of chromium
dioxide and other metallic double-exchange ferromagnets. The Hall resistivity,
magnetoresistance, and magnetization of single crystal gadolinium were measured
in fields up to 30 T. Measurements between 2 K and 400 K are consistent with
previously reported data. A scaling analysis for the Hall resistivity as a
function of the magnetization suggests the presence of a Berry's-phase
contribution to the anomalous Hall effect.Comment: 6 pages, 7 figures, submitted to Phys. Rev.
A Renormalization Proof of the KAM Theorem for Non-Analytic Perturbations
We shall use a Renormalization Group (RG) scheme in order to prove the
classical KAM result in the case of a non-analytic perturbation (the latter
will be assumed to have continuous derivatives up to a sufficiently large
order). We shall proceed by solving a sequence of problems in which the
perturbations are analytic approximations of the original one. We shall finally
show that the sequence of the approximate solutions will converge to a
differentiable solution of the original problem.Comment: 33 pages, no figure
Entanglement and correlation in two-nucleon systems
We examine the mode entanglement and correlation of two fermionic particles.
We study the one- and two-mode entropy and a global characteristic, the
one-body entanglement entropy. We consider not only angular momentum coupled
states with single configuration but use the configuration interaction method.
With the help of the Slater decomposition, we derive analytical expressions for
the entanglement measures. We show that when the total angular momentum is zero
specific single configurations describe maximally entangled states. It turns
out that for a finite number of associated modes the one- and two-mode
entropies have identical values. In the shell model framework, we numerically
study two valence neutrons in the shell. The one-body entanglement entropy
of the ground state is close to the maximal value and the associated modes have
the largest mutual information.Comment: 20 pages, 1 figur
Morse homology for the heat flow
We use the heat flow on the loop space of a closed Riemannian manifold to
construct an algebraic chain complex. The chain groups are generated by
perturbed closed geodesics. The boundary operator is defined in the spirit of
Floer theory by counting, modulo time shift, heat flow trajectories that
converge asymptotically to nondegenerate closed geodesics of Morse index
difference one.Comment: 89 pages, 3 figure
Magnetocrystalline anisotropic effect in GdCoFeAsO ()
From a systematic study of the electrical resistivity , magnetic
susceptibility , isothermal magnetization and the specific
heat , a temperature-magnetic field (-) phase diagram has been
established for GdCoFeAsO ( and ) polycrystalline
compounds. GdCoAsO undergoes two long-range magnetic transitions: ferromagnetic
(FM) transition of Co electrons () and
antiferromagnetic (AFM) transition of Gd electrons
(). For the Fe-doped sample (), an extra
magnetic reorientation transition takes place below ,
which is likely associated with Co moments. The two magnetic species of Gd and
Co are coupled antiferromagnetically to give rise to ferrimagnetic (FIM)
behavior in the magnetic susceptibility. Upon decreasing the temperature (), the magnetocrystalline anisotropy breaks up the FM
order of Co by aligning the moments with the local easy axes of the various
grains, leading to a spin reorientation transition at
. By applying a magnetic field,
monotonically decreases to lower temperatures, while
the is relatively robust against the external field.
On the other hand, the applied magnetic field pulls the magnetization of grains
from the local easy direction to the field direction via a first-order
reorientation transition, with the transition field () increasing
upon cooling the temperature.Comment: accepted by physical Review B 6 figures and 7 page
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