3,964 research outputs found
Hodge metrics and positivity of direct images
Building on Fujita-Griffiths method of computing metrics on Hodge bundles, we
show that the direct image of an adjoint semi-ample line bundle by a projective
submersion has a continuous metric with Griffiths semi-positive curvature. This
shows that for every holomorphic semi-ample vector bundle on a complex
manifold, and every positive integer , the vector bundle
has a continuous metric with Griffiths semi-positive curvature. If is ample
on a projective manifold, the metric can be made smooth and Griffiths positive.Comment: revised and expanded version of "A positivity property of ample
vector bundles
Cluster derivation of Parisi's RSB solution for disordered systems
We propose a general scheme in which disordered systems are allowed to
sacrifice energy equi-partitioning and separate into a hierarchy of ergodic
sub-systems (clusters) with different characteristic time-scales and
temperatures. The details of the break-up follow from the requirement of
stationarity of the entropy of the slower cluster, at every level in the
hierarchy. We apply our ideas to the Sherrington-Kirkpatrick model, and show
how the Parisi solution can be {\it derived} quantitatively from plausible
physical principles. Our approach gives new insight into the physics behind
Parisi's solution and its relations with other theories, numerical experiments,
and short range models.Comment: 7 pages 5 figure
High pressure high temperature (HPHT) synthesis and magnetization of Magneto-Superconducting RuSr2(LnCe2)Cu2O12.25 (Ru-1232) compounds (Ln = Y and Dy)
RuSr2(LnCe2)Cu2O12.25 (Ru-1232) compounds with Ln = Y and Dy being
synthesized by high pressure high temperature (6GPa, 12000C) solid state
synthesis route do crystallize in space group P4/mmm in near single phase form
with small quantities of SrRuO3 and RuSr2(RE1.5Ce0.5)Cu2O10 (Ru-1222). Both
samples exhibit magnetic transitions (Tmag.) at ~90 K with significant
branching of zfc (zero-field-cooled) and fc (field-cooled) magnetization and a
sharp cusp in zfc at ~ 70 K, followed by superconducting transitions at ~ 30 K.
Both compounds show typical ferromagnetic hysteresis loops in magnetic moment
(M) versus field (H) magnetization right upto Tmag. i.e. < 90K. To our
knowledge these are the first successfully synthesized Ru-1232 compounds in
near single phase with lanthanides including Y and Dy. The results are compared
with widely reported Gd/Ru-1222 and Ru-1212 (RuSr2GdCu2O8) compounds. In
particular, it seems that the Ru moments magnetic ordering temperature (Tmag.)
scales with the c-direction distance between magnetic RuO6 octahedras in
Ru-1212/1222 or 1232 systems.Comment: 15 pages of TEXT and Fig
Weak Magnetic Order in the Bilayered-hydrate NaCoOHO Structure Probed by Co Nuclear Quadrupole Resonance - Proposed Phase Diagram in Superconducting NaCoO HO
A weak magnetic order was found in a non-superconducting bilayered-hydrate
NaCoOHO sample by a Co Nuclear Quadrupole Resonance
(NQR) measurement. The nuclear spin-lattice relaxation rate divided by
temperature shows a prominent peak at 5.5 K, below which a Co-NQR peak
splits due to an internal field at the Co site. From analyses of the Co NQR
spectrum at 1.5 K, the internal field is evaluated to be 300 Oe and is
in the -plane. The magnitude of the internal field suggests that the
ordered moment is as small as using the hyperfine coupling
constant reported previously. It is shown that the NQR frequency
correlates with magnetic fluctuations from measurements of NQR spectra and
in various samples. The higher- sample has the stronger
magnetic fluctuations. A possible phase diagram in NaCoOHO is depicted using and , in which the crystal distortion
along the c-axis of the tilted CoO octahedron is considered to be a
physical parameter. Superconductivity with the highest is seemingly
observed in the vicinity of the magnetic phase, suggesting strongly that the
magnetic fluctuations play an important role for the occurrence of the
superconductivity.Comment: 5 pages, 6 figures, submitted to J. Phys. Soc. Jp
Anomalous pressure effect on the magnetic ordering in multiferroic BiMnO3
We report the magnetic field dependent dc magnetization and the
pressure-dependent (pmax ~ 16 kbar) ac susceptibilities Xp(T) on both powder
and bulk multiferroic BiMnO3 samples, synthesized in different batches under
high pressure. A clear ferromagnetic (FM) transition is observed at TC ~ 100 K,
and increases with magnetic field. The magnetic hysteresis behavior is similar
to that of a soft ferromagnet. Ac susceptibility data indicate that both the FM
peak and its temperature (TC) decrease simultaneously with increasing pressure.
Interestingly, above a certain pressure (9 ~ 11 kbar), another peak appears at
Tp ~ 93 K, which also decreases with increasing pressure, with both these peaks
persisting over some intermediate pressure range (9 ~ 13 kbar). The FM peak
disappears with further application of pressure; however, the second peak
survives until present pressure limit (pmax ~ 16 kbar). These features are
considered to originate from the complex interplay of the magnetic and orbital
structure of BiMnO3 being affected by pressure.Comment: 4 pages,4 figures, publised in Physical Review B 78, 092404/200
Local syzygies of multiplier ideals
In recent years, multiplier ideals have found many applications in local and
global algebraic geometry. Because of their importance, there has been some
interest in the question of which ideals on a smooth complex variety can be
realized as multiplier ideals. Other than integral closure no local
obstructions have been known up to now, and in dimension two it was established
by Favre-Jonsson and Lipman-Watanabe that any integrally closed ideal is
locally a multiplier ideal. We prove the somewhat unexpected result that
multiplier ideals in fact satisfy some rather strong algebraic properties
involving higher syzygies. It follows that in dimensions three and higher,
multiplier ideals are very special among all integrally closed ideals.Comment: 8 page
Neel Temperature of Quasi-Low-Dimensional Heisenberg Antiferromagnets
The N\'eel temperature, , of quasi-one- and quasi-two-dimensional
antiferromagnetic Heisenberg models on a cubic lattice is calculated by Monte
Carlo simulations as a function of inter-chain (inter-layer) to intra-chain
(intra-layer) coupling down to . We find that
obeys a modified random-phase approximation-like relation for small
with an effective universal renormalized coordination number,
independent of the size of the spin. Empirical formulae describing
for a wide range of and useful for the analysis of experimental
measurements are presented.Comment: 4 pages, 4 figures, to be published in Phys. Rev. Let
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