62,340 research outputs found
Study of gossamer superconductivity and antiferromagnetism in the t-J-U model
The d-wave superconductivity (dSC) and antiferromagnetism are analytically
studied in a renormalized mean field theory for a two dimensional t-J model
plus an on-site repulsive Hubbard interaction . The purpose of introducing
the term is to partially impose the no double occupancy constraint by
employing the Gutzwiller approximation. The phase diagrams as functions of
doping and are studied. Using the standard value of and
in the large limit, we show that the antiferromagnetic (AF) order emerges
and coexists with the dSC in the underdoped region below the doping
. The dSC order parameter increases from zero as the doping
increases and reaches a maximum near the optimal doping . In
the small limit, only the dSC order survives while the AF order disappears.
As increased to a critical value, the AF order shows up and coexists with
the dSC in the underdoped regime. At half filing, the system is in the dSC
state for small and becomes an AF insulator for large . Within the
present mean field approach, We show that the ground state energy of the
coexistent state is always lower than that of the pure dSC state.Comment: 7 pages, 8 figure
Optimal estimation of the mean function based on discretely sampled functional data: Phase transition
The problem of estimating the mean of random functions based on discretely
sampled data arises naturally in functional data analysis. In this paper, we
study optimal estimation of the mean function under both common and independent
designs. Minimax rates of convergence are established and easily implementable
rate-optimal estimators are introduced. The analysis reveals interesting and
different phase transition phenomena in the two cases. Under the common design,
the sampling frequency solely determines the optimal rate of convergence when
it is relatively small and the sampling frequency has no effect on the optimal
rate when it is large. On the other hand, under the independent design, the
optimal rate of convergence is determined jointly by the sampling frequency and
the number of curves when the sampling frequency is relatively small. When it
is large, the sampling frequency has no effect on the optimal rate. Another
interesting contrast between the two settings is that smoothing is necessary
under the independent design, while, somewhat surprisingly, it is not essential
under the common design.Comment: Published in at http://dx.doi.org/10.1214/11-AOS898 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Discussion: "A significance test for the lasso"
Discussion of "A significance test for the lasso" by Richard Lockhart,
Jonathan Taylor, Ryan J. Tibshirani, Robert Tibshirani [arXiv:1301.7161].Comment: Published in at http://dx.doi.org/10.1214/13-AOS1175B the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Adaptive covariance matrix estimation through block thresholding
Estimation of large covariance matrices has drawn considerable recent
attention, and the theoretical focus so far has mainly been on developing a
minimax theory over a fixed parameter space. In this paper, we consider
adaptive covariance matrix estimation where the goal is to construct a single
procedure which is minimax rate optimal simultaneously over each parameter
space in a large collection. A fully data-driven block thresholding estimator
is proposed. The estimator is constructed by carefully dividing the sample
covariance matrix into blocks and then simultaneously estimating the entries in
a block by thresholding. The estimator is shown to be optimally rate adaptive
over a wide range of bandable covariance matrices. A simulation study is
carried out and shows that the block thresholding estimator performs well
numerically. Some of the technical tools developed in this paper can also be of
independent interest.Comment: Published in at http://dx.doi.org/10.1214/12-AOS999 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
The Role of Starburst-AGN composites in Luminous Infrared Galaxy Mergers: Insights from the New Optical Classification Scheme
We investigate the fraction of starbursts, starburst-AGN composites,
Seyferts, and LINERs as a function of infrared luminosity (L_IR) and merger
progress for ~500 infrared-selected galaxies. Using the new optical
classifications afforded by the extremely large data set of the Sloan Digital
Sky Survey, we find that the fraction of LINERs in IR-selected samples is rare
(< 5%) compared with other spectral types. The lack of strong infrared emission
in LINERs is consistent with recent optical studies suggesting that LINERs
contain AGN with lower accretion rates than in Seyfert galaxies. Most
previously classified infrared-luminous LINERs are classified as starburst-AGN
composite galaxies in the new scheme. Starburst-AGN composites appear to
"bridge" the spectral evolution from starburst to AGN in ULIRGs. The relative
strength of the AGN versus starburst activity shows a significant increase at
high infrared luminosity. In ULIRGs (L_IR >10^12 L_odot), starburst-AGN
composite galaxies dominate at early--intermediate stages of the merger, and
AGN galaxies dominate during the final merger stages. Our results are
consistent with models for IR-luminous galaxies where mergers of gas-rich
spirals fuel both starburst and AGN, and where the AGN becomes increasingly
dominant during the final merger stages of the most luminous infrared objects.Comment: 30 pages, 19 figures, 10 tables, ApJ accepte
Are Black Holes Elementary Particles?
Quantum black holes are the smallest and heaviest conceivable elementary
particles. They have a microscopic size but a macroscopic mass. Several
fundamental types have been constructed with some remarkable properties.
Quantum black holes in the neighborhood of the Galaxy could resolve the paradox
of ultra-high energy cosmic rays detected in Earth's atmosphere. They may also
play a role as dark matter in cosmology.Comment: Lecture delivered in Conference on Particle Physics, Astrophysics and
Quantum Field Theory: 75 Years since Solvay, 27 -29 November 2008, Nanyang
Executive Centre, Singapore. 10 page
Star Formation and Dust Extinction Properties of Local Galaxies as seen from AKARI and GALEX
An accurate estimation of the star formation-related properties of galaxies
is crucial for understanding the evolution of galaxies. In galaxies,
ultraviolet (UV) light emitted by recently formed massive stars is attenuated
by dust, which is also produced by star formation (SF) activity, and is
reemitted at mid- and far- infrared (IR) wavelengths. In this study, we
investigate the star formation rate (SFR) and dust extinction using UV and IR
data. We selected local galaxies which are detected at AKARI FIS 90 um and
matched the IRAS IIFSCz 60 um select catalog. We measured FUV and NUV flux
densities from GALEX images. We examined the SF and extinction of Local
galaxies using four bands of AKARI. Then, we calculated FUV and total IR
luminosities, and obtained the SF luminosity, L_{SF}, the total luminosity
related to star formation activity, and the SFR. We find that in most galaxies,
L_{SF} is dominated by L_{dust}. We also find that galaxies with higher SF
activity have a higher fraction of their SF hidden by dust. In fact, the SF of
galaxies with SFRs >20 M_{sun}/yr is almost completely hidden by dust. Our
results boast a significantly higher precision with respect to previously
published works, due to the use of much larger object samples from the AKARI
and GALEX all sky surveys.Comment: 9 pages, 12 figures, accepted for publication in Earth, Planets, and
Space, A few minor corrections, and a reference adde
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