7,108 research outputs found
Second-harmonic generation in graded metallic films
We study the effective second-harmonic generation (SHG) susceptibility in
graded metallic films by invoking the local field effects exactly, and further
numerically demonstrate that the graded metallic films can serve as a novel
optical material for producing a broad structure in both the linear and SHG
response and an enhancement in the SHG signal.Comment: 10 pages, 2 EPS figures. Minor revision
Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
We study effects of disorder (randomness) in a 2D square-lattice
quantum spin system, the - model with a 6-spin interaction
supplementing the Heisenberg exchange . In the absence of disorder the
system hosts antiferromagnetic (AFM) and columnar valence-bond-solid (VBS)
ground states. The VBS breaks symmetry, and in the presence of
arbitrarily weak disorder it forms domains. Using QMC simulations, we
demonstrate two kinds of such disordered VBS states. Upon dilution, a removed
site leaves a localized spin in the opposite sublattice. These spins form AFM
order. For random interactions, we find a different state, with no order but
algebraically decaying mean correlations. We identify localized spinons at the
nexus of domain walls between different VBS patterns. These spinons form
correlated groups with the same number of spinons and antispinons. Within such
a group, there is a strong tendency to singlet formation, because of
spinon-spinon interactions mediated by the domain walls. Thus, no long-range
AFM order forms. We propose that this state is a 2D analog of the well-known 1D
random singlet (RS) state, though the dynamic exponent in 2D is finite. By
studying the T-dependent magnetic susceptibility, we find that varies, from
at the AFM--RS phase boundary and larger in the RS phase The RS state
discovered here in a system without geometric frustration should correspond to
the same fixed point as the RS state recently proposed for frustrated systems,
and the ability to study it without Monte Carlo sign problems opens up
opportunities for further detailed characterization of its static and dynamic
properties. We also discuss experimental evidence of the RS phase in the
quasi-two-dimensional square-lattice random-exchange quantum magnets
SrCuTeWO.Comment: 31 pages, 29 figures; substantial additions in v2; additional
analysis in v
KCRC-LCD: Discriminative Kernel Collaborative Representation with Locality Constrained Dictionary for Visual Categorization
We consider the image classification problem via kernel collaborative
representation classification with locality constrained dictionary (KCRC-LCD).
Specifically, we propose a kernel collaborative representation classification
(KCRC) approach in which kernel method is used to improve the discrimination
ability of collaborative representation classification (CRC). We then measure
the similarities between the query and atoms in the global dictionary in order
to construct a locality constrained dictionary (LCD) for KCRC. In addition, we
discuss several similarity measure approaches in LCD and further present a
simple yet effective unified similarity measure whose superiority is validated
in experiments. There are several appealing aspects associated with LCD. First,
LCD can be nicely incorporated under the framework of KCRC. The LCD similarity
measure can be kernelized under KCRC, which theoretically links CRC and LCD
under the kernel method. Second, KCRC-LCD becomes more scalable to both the
training set size and the feature dimension. Example shows that KCRC is able to
perfectly classify data with certain distribution, while conventional CRC fails
completely. Comprehensive experiments on many public datasets also show that
KCRC-LCD is a robust discriminative classifier with both excellent performance
and good scalability, being comparable or outperforming many other
state-of-the-art approaches
Random-singlet phase in disordered two-dimensional quantum magnets
We study effects of disorder (randomness) in a 2D square-lattice S=1/2 quantum spin system, the J-Q model with a 6-spin interaction Q supplementing the Heisenberg exchange J. In the absence of disorder the system hosts antiferromagnetic (AFM) and columnar valence-bond-solid (VBS) ground states. The VBS breaks Z4 symmetry, and in the presence of arbitrarily weak disorder it forms domains. Using QMC simulations, we demonstrate two kinds of such disordered VBS states. Upon dilution, a removed site leaves a localized spin in the opposite sublattice. These spins form AFM order. For random interactions, we find a different state, with no order but algebraically decaying mean correlations. We identify localized spinons at the nexus of domain walls between different VBS patterns. These spinons form correlated groups with the same number of spinons and antispinons. Within such a group, there is a strong tendency to singlet formation, because of spinon-spinon interactions mediated by the domain walls. Thus, no long-range AFM order forms. We propose that this state is a 2D analog of the well-known 1D random singlet (RS) state, though the dynamic exponent z in 2D is finite. By studying the T-dependent magnetic susceptibility, we find that z varies, from z=2 at the AFM--RS phase boundary and larger in the RS phase The RS state discovered here in a system without geometric frustration should correspond to the same fixed point as the RS state recently proposed for frustrated systems, and the ability to study it without Monte Carlo sign problems opens up opportunities for further detailed characterization of its static and dynamic properties. We also discuss experimental evidence of the RS phase in the quasi-two-dimensional square-lattice random-exchange quantum magnets Sr2CuTe1−xWxO6.Accepted manuscrip
Calibration of a superconducting transformer by measuring critical current of a NbTi Rutherford cable
Large high field superconducting magnets often requires high current
superconducting cables. In order to develop these cables, a facility capable of
providing high magnetic field with large sampling area as well as electrical
current of tens of kA is essential. A superconducting transformer is an
energy-efficient and low-cost way to provide large current to superconducting
cables. Previously, we co-developed a superconducting transformer and
successfully tested it to a maximum output current of 45 kA in zero magnetic
field. In this work, this superconducting transformer is installed to the 12 T
split solenoid magnet at the National High Magnetic Field Laboratory (NHMFL).
We calibrated it by using this facility to measure critical current of a NbTi
Rutherford cable as a function of magnetic field up to 10 T, and compare the
results with those available in the literature. In addition, a strand extracted
from the NbTi cable is tested for critical current. The critical current of the
extracted strand is scaled and compared with critical current of the cable. The
accuracy of the critical current measurement using this superconducting
transformer is discussed in detail. This work concludes the commissioning of
this superconducting transformer which combined with the 12 T split magnet will
provide unique cable testing capability for future cable development for the
NHMFL and its users.Comment: 11 pages, 9 figure
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