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Clustering of Low-Redshift (z <= 2.2) Quasars from the Sloan Digital Sky Survey

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 Added by Nicholas Ross Dr.
 Publication date 2009
  fields Physics
and research's language is English




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We present measurements of the quasar two-point correlation function, xi_{Q}, over the redshift range z=0.3-2.2 based upon data from the SDSS. Using a homogeneous sample of 30,239 quasars with spectroscopic redshifts from the DR5 Quasar Catalogue, our study represents the largest sample used for this type of investigation to date. With this redshift range and an areal coverage of approx 4,000 deg^2, we sample over 25 h^-3 Gpc^3 (comoving) assuming the current LCDM cosmology. Over this redshift range, we find that the redshift-space correlation function, xi(s), is adequately fit by a single power-law, with s_{0}=5.95+/-0.45 h^-1 Mpc and gamma_{s}=1.16+0.11-0.16 when fit over s=1-25 h^-1 Mpc. Using the projected correlation function we calculate the real-space correlation length, r_{0}=5.45+0.35-0.45 h^-1 Mpc and gamma=1.90+0.04-0.03, over scales of rp=1-130 h^-1 Mpc. Dividing the sample into redshift slices, we find very little, if any, evidence for the evolution of quasar clustering, with the redshift-space correlation length staying roughly constant at s_{0} ~ 6-7 h^-1 Mpc at z<2.2 (and only increasing at redshifts greater than this). Comparing our clustering measurements to those reported for X-ray selected AGN at z=0.5-1, we find reasonable agreement in some cases but significantly lower correlation lengths in others. We find that the linear bias evolves from b~1.4 at z=0.5 to b~3 at z=2.2, with b(z=1.27)=2.06+/-0.03 for the full sample. We compare our data to analytical models and infer that quasars inhabit dark matter haloes of constant mass M ~2 x 10^12 h^-1 M_Sol from redshifts z~2.5 (the peak of quasar activity) to z~0. [ABRIDGED]



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(Abridged) We study the two-point correlation function of a uniformly selected sample of 4,426 luminous optical quasars with redshift $2.9 le zle 5.4$ selected over 4041 deg$^2$ from the Fifth Data Release of the Sloan Digital Sky Survey. For a real-space correlation function of the form $xi(r)=(r/r_0)^{-gamma}$, the fitted parameters in comoving coordinates are $r_0 = 15.2 pm 2.7 h^{-1}$ Mpc and $gamma = 2.0 pm 0.3$, over a scale range $4le r_ple 150 h^{-1}$ Mpc. Thus high-redshift quasars are appreciably more strongly clustered than their $z approx 1.5$ counterparts, which have a comoving clustering length $r_0 approx 6.5 h^{-1}$ Mpc. Dividing our sample into two redshift bins: $2.9le zle 3.5$ and $zge 3.5$, and assuming a power-law index $gamma=2.0$, we find a correlation length of $r_0 = 16.9 pm 1.7 h^{-1}$ Mpc for the former, and $r_0 = 24.3 pm 2.4 h^{-1}$ Mpc for the latter. Following Martini & Weinberg, we relate the clustering strength and quasar number density to the quasar lifetimes and duty cycle. Using the Sheth & Tormen halo mass function, the quasar lifetime is estimated to lie in the range $4sim 50$ Myr for quasars with $2.9le zle 3.5$; and $30sim 600$ Myr for quasars with $zge 3.5$. The corresponding duty cycles are $0.004sim 0.05$ for the lower redshift bin and $0.03sim 0.6$ for the higher redshift bin. The minimum mass of halos in which these quasars reside is $2-3times 10^{12} h^{-1}M_odot$ for quasars with $2.9le zle 3.5$ and $4-6times 10^{12} h^{-1}M_odot$ for quasars with $zge 3.5$.
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We perform a systematic search for high-redshift ($z >$ 1.5) extreme variability quasars (EVQs) using repeat spectra from the Sixteenth Data Release of Sloan Digital Sky Survey, which provides a baseline spanning up to $sim$18 yrs in the observed frame. We compile a sample of 348 EVQs with a maximum continuum variability at rest frame 1450 Angstrom of more than 100% (i.e., $delta$V $equiv$ (Max$-$Min)/Mean $>$1). The EVQs show a range of emission line variability, including 23 where at least one line in our redshift range disappears below detectability, which can then be seen as analogous to low-redshift changing-look quasars (CLQs). Importantly, spurious CLQs caused by SDSS problematic spectral flux calibration, e.g., fiber drop issue, have been rejected. The similar properties (e.g., continuum/line, difference-composite spectra and Eddington ratio) of normal EVQs and CLQs, implies that they are basically the same physical population with analogous intrinsic variability mechanisms, as a tail of a continuous distribution of normal quasar properties. In addition, we find no reliable evidence ($lesssim$ 1$sigma$) to support that the CLQs are a subset of EVQs with less efficient accretion. Finally, we also confirm the anti-breathing of C IV (i.e., line width increases as luminosity increases) in EVQs, and find that in addition to $sim$ 0.4 dex systematic uncertainty in single-epoch C IV virial black hole mass estimates, an extra scatter of $sim$ 0.3 dex will be introduced by extreme variability.
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