Physical Sciences and Mathematics | Open Access Articles

Validity Of The Spin-Susceptibility “Glue” Approximation For Pairing In The Two-Dimensional Hubbard Model, Ehsan Khatami, A. Macridin, M. Jarrell

Faculty Publications

We examine the validity of the weak-coupling spin-susceptibility “glue” approximation (SSGA) in a two-dimensional Hubbard model for cuprates. For comparison, we employ the well-established dynamical cluster approximation (DCA) with a quantum Monte Carlo algorithm as a cluster solver. We compare the leading eigenvalues and corresponding eigenfunctions of the DCA and SSGA pairing matrices. For realistic model parameters, we find that the SSGA fails to capture the leading pairing symmetries seen in the DCA. Furthermore, when the SSGA is improved through the addition of a term with d-wave symmetry, the strength of this additional term is found to be larger than …

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Thermodynamics Of The Quantum Critical Point At Finite Doping In The Two-Dimensional Hubbard Model Studied Via The Dynamical Cluster Approximation, K. Mikelsons, Ehsan Khatami, D. Galanakis, A. Macridin, J. Moreno, M. Jarrell

Faculty Publications

We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of the entropy and potential energy (double occupancy). We find that at a critical filling, there is a pronounced peak in the entropy divided by temperature, S/T, and in the normalized double occupancy as a function of doping. At this filling, we find that specific heat divided by temperature, C/T, increases strongly with decreasing temperature and kinetic and potential energies vary like T2 ln T. These …

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Mapping The Dark Side With Deimos: Globular Clusters, X-Ray Gas, And Dark Matter In The Ngc 1407 Group, Aaron J. Romanowsky, J. Strader, L. Spitler, R. Johnson, J. P. Brodie, D. A. Forbes, T. Ponman

Faculty Publications

NGC 1407 is the central elliptical in a nearby evolved group of galaxies apparently destined to become a galaxy cluster core. We use the kinematics of globular clusters (GCs) to probe the dynamics and mass profile of the group's center, out to a radius of 60 kpc (~10 galaxy effective radii)—the most extended data set to date around an early-type galaxy. This sample consists of 172 GC line-of-sight velocities, most of them newly obtained using Keck/DEIMOS, with a few additional objects identified as dwarf-globular transition objects or as intragroup GCs. We find weak rotation for the outer parts of the …

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Dearth Of Dark Matter Or Massive Dark Halo? Mass-Shape-Anisotropy Degeneracies Revealed By Nmagic Dynamical Models Of The Elliptical Galaxy Ngc 3379, F. De Lorenzi, O. Gerhard, L. Coccato, M. Arnaboldi, M. Capaccioli, K. C. Freeman, K. Kuijken, M. R. Merrifield, N. R. Napolitano, E. Noordermeer, Aaron J. Romanowsky, V. P. Debattista

Faculty Publications

Recent results from the Planetary Nebula Spectrograph (PNS) survey have revealed a rapidly falling velocity dispersion profile in the nearby elliptical galaxy NGC 3379, casting doubts on whether this intermediate-luminosity galaxy has the kind of dark matter (DM) halo expected in Λ cold dark matter (ΛCDM) cosmology. We present a detailed dynamical study of this galaxy, combining ground based long-slit spectroscopy, integral-field data from the Spectrographic Areal Unit for Research on Optical Nebulae (SAURON) instrument and PNS data reaching to more than seven effective radii. We construct dynamical models with the flexible χ2-made-to-measure (χ2M2M) particle method implemented in the NMAGIC …

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The Planetary Nebula Spectrograph Elliptical Galaxy Survey: The Dark Matter In Ngc 4494, N. R. Napolitano, Aaron J. Romanowsky, L. Coccato, M. Capaccioli, N. G. Douglas, E. Noordermeer, O. Gerhard, M. Arnaboldi, F. De Lorenzi, K. Kuijken, M. R. Merrifield, E. O'Sullivan, A. Cortesi, P. Das, K. C. Freeman

Faculty Publications

We present new Planetary Nebula Spectrograph observations of the ordinary elliptical galaxy NGC 4494, resulting in positions and velocities of 255 planetary nebulae out to seven effective radii (25 kpc). We also present new wide-field surface photometry from MMT/Megacam, and long-slit stellar kinematics from VLT/FORS2. The spatial and kinematical distributions of the planetary nebulae agree with the field stars in the region of overlap. The mean rotation is relatively low, with a possible kinematic axis twist outside 1Re. The velocity dispersion profile declines with radius, though not very steeply, down to ∼70 km s−1 at the last data point. We …

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Probing The 2d Kinematic Structure Of Early-Type Galaxies Out To 3 Effective Radii, R. N. Proctor, D. A. Forbes, J. P. Brodie, Aaron J. Romanowsky, J. Strader, M. Spolaor, J. T. Mendel, L. Spitler

Faculty Publications

We detail an innovative new technique for measuring the two-dimensional (2D) velocity moments (rotation velocity, velocity dispersion and Gauss–Hermite coefficients h3 and h4) of the stellar populations of galaxy haloes using spectra from Keck DEIMOS (Deep Imaging Multi-Object Spectrograph) multi-object spectroscopic observations. The data are used to reconstruct 2D rotation velocity maps. Here we present data for five nearby early-type galaxies to ∼three effective radii. We provide significant insights into the global kinematic structure of these galaxies, and challenge the accepted morphological classification in several cases. We show that between one and three effective radii the velocity dispersion declines very …

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Central Mass-To-Light Ratios And Dark Matter Fractions In Early-Type Galaxies, C. Tortora, N. R. Napolitano, Aaron J. Romanowsky, M. Capaccioli, G. Covone

Faculty Publications

Dynamical studies of local elliptical galaxies and the Fundamental Plane point to a strong dependence of the total mass-to-light ratio (M/L) on luminosity with a relation of the form M/L∝Lγ. The ‘tilt’γ may be caused by various factors, including stellar population properties (metallicity, age and star formation history), initial mass function, rotational support, luminosity profile non-homology and dark matter (DM) fraction. We evaluate the impact of all these factors using a large uniform data set of local early-type galaxies from Prugniel & Simien. We take particular care in estimating the stellar masses, using a general star formation history, and comparing …

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Mapping The Dark Side With Deimos: Globular Clusters, X-Ray Gas, And Dark Matter In The Ngc 1407 Group, Aaron J. Romanowsky, J. Strader, L. Spitler, R. Johnson, J. P. Brodie, D. A. Forbes, T. Ponman

Aaron J. Romanowsky

NGC 1407 is the central elliptical in a nearby evolved group of galaxies apparently destined to become a galaxy cluster core. We use the kinematics of globular clusters (GCs) to probe the dynamics and mass profile of the group's center, out to a radius of 60 kpc (~10 galaxy effective radii)—the most extended data set to date around an early-type galaxy. This sample consists of 172 GC line-of-sight velocities, most of them newly obtained using Keck/DEIMOS, with a few additional objects identified as dwarf-globular transition objects or as intragroup GCs. We find weak rotation for the outer parts of the …

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The Planetary Nebula Spectrograph Elliptical Galaxy Survey: The Dark Matter In Ngc 4494, N. R. Napolitano, Aaron J. Romanowsky, L. Coccato, M. Capaccioli, N. G. Douglas, E. Noordermeer, O. Gerhard, M. Arnaboldi, F. De Lorenzi, K. Kuijken, M. R. Merrifield, E. O'Sullivan, A. Cortesi, P. Das, K. C. Freeman

Aaron J. Romanowsky

We present new Planetary Nebula Spectrograph observations of the ordinary elliptical galaxy NGC 4494, resulting in positions and velocities of 255 planetary nebulae out to seven effective radii (25 kpc). We also present new wide-field surface photometry from MMT/Megacam, and long-slit stellar kinematics from VLT/FORS2. The spatial and kinematical distributions of the planetary nebulae agree with the field stars in the region of overlap. The mean rotation is relatively low, with a possible kinematic axis twist outside 1Re. The velocity dispersion profile declines with radius, though not very steeply, down to ∼70 km s−1 at the last data point. We …

Go to article

Kinematic Properties Of Early-Type Galaxy Haloes Using Planetary Nebulae, L. Coccato, O. Gerhard, M. Arnaboldi, P. Das, N. G. Douglas, K. Kuijken, M. R. Merrifield, N. R. Napolitano, Aaron J. Romanowsky, E. Noordermeer, M. Capaccioli, A. Cortesi, F. De Lorenzi, K. C. Freeman

Aaron J. Romanowsky

We present new planetary nebulae (PNe) positions, radial velocities and magnitudes for six early-type galaxies obtained with the Planetary Nebulae Spectrograph (PNS), along with derived two-dimensional velocity and velocity dispersion fields, and the α parameters (i.e. the number of PNe per unit luminosity). We also present new deep absorption-line long-slit kinematics for three galaxies in the sample, obtained with the FOcal Reducer and low dispersion Spectrograph (FORS2) at the Very Large Telescope (VLT). We extend this study to include additional 10 early-type galaxies with PNe radial velocity measurements available from the literature, including previous PNS studies, in order to obtain …

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Probing The 2d Kinematic Structure Of Early-Type Galaxies Out To 3 Effective Radii, R. N. Proctor, D. A. Forbes, J. P. Brodie, Aaron J. Romanowsky, J. Strader, M. Spolaor, J. T. Mendel, L. Spitler

Aaron J. Romanowsky

We detail an innovative new technique for measuring the two-dimensional (2D) velocity moments (rotation velocity, velocity dispersion and Gauss–Hermite coefficients h3 and h4) of the stellar populations of galaxy haloes using spectra from Keck DEIMOS (Deep Imaging Multi-Object Spectrograph) multi-object spectroscopic observations. The data are used to reconstruct 2D rotation velocity maps. Here we present data for five nearby early-type galaxies to ∼three effective radii. We provide significant insights into the global kinematic structure of these galaxies, and challenge the accepted morphological classification in several cases. We show that between one and three effective radii the velocity dispersion declines very …

Go to article

Central Mass-To-Light Ratios And Dark Matter Fractions In Early-Type Galaxies, C. Tortora, N. R. Napolitano, Aaron J. Romanowsky, M. Capaccioli, G. Covone

Aaron J. Romanowsky

Dynamical studies of local elliptical galaxies and the Fundamental Plane point to a strong dependence of the total mass-to-light ratio (M/L) on luminosity with a relation of the form M/L∝Lγ. The ‘tilt’γ may be caused by various factors, including stellar population properties (metallicity, age and star formation history), initial mass function, rotational support, luminosity profile non-homology and dark matter (DM) fraction. We evaluate the impact of all these factors using a large uniform data set of local early-type galaxies from Prugniel & Simien. We take particular care in estimating the stellar masses, using a general star formation history, and comparing …

Go to article

Dearth Of Dark Matter Or Massive Dark Halo? Mass-Shape-Anisotropy Degeneracies Revealed By Nmagic Dynamical Models Of The Elliptical Galaxy Ngc 3379, F. De Lorenzi, O. Gerhard, L. Coccato, M. Arnaboldi, M. Capaccioli, K. C. Freeman, K. Kuijken, M. R. Merrifield, N. R. Napolitano, E. Noordermeer, Aaron J. Romanowsky, V. P. Debattista

Aaron J. Romanowsky

Recent results from the Planetary Nebula Spectrograph (PNS) survey have revealed a rapidly falling velocity dispersion profile in the nearby elliptical galaxy NGC 3379, casting doubts on whether this intermediate-luminosity galaxy has the kind of dark matter (DM) halo expected in Λ cold dark matter (ΛCDM) cosmology. We present a detailed dynamical study of this galaxy, combining ground based long-slit spectroscopy, integral-field data from the Spectrographic Areal Unit for Research on Optical Nebulae (SAURON) instrument and PNS data reaching to more than seven effective radii. We construct dynamical models with the flexible χ2-made-to-measure (χ2M2M) particle method implemented in the NMAGIC …

Go to article

Kinematic Properties Of Early-Type Galaxy Haloes Using Planetary Nebulae, L. Coccato, O. Gerhard, M. Arnaboldi, P. Das, N. G. Douglas, K. Kuijken, M. R. Merrifield, N. R. Napolitano, Aaron J. Romanowsky, E. Noordermeer, M. Capaccioli, A. Cortesi, F. De Lorenzi, K. C. Freeman

Faculty Publications

We present new planetary nebulae (PNe) positions, radial velocities and magnitudes for six early-type galaxies obtained with the Planetary Nebulae Spectrograph (PNS), along with derived two-dimensional velocity and velocity dispersion fields, and the α parameters (i.e. the number of PNe per unit luminosity). We also present new deep absorption-line long-slit kinematics for three galaxies in the sample, obtained with the FOcal Reducer and low dispersion Spectrograph (FORS2) at the Very Large Telescope (VLT). We extend this study to include additional 10 early-type galaxies with PNe radial velocity measurements available from the literature, including previous PNS studies, in order to obtain …

Go to article

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Full-Text Articles in Physical Sciences and Mathematics

Validity Of The Spin-Susceptibility “Glue” Approximation For Pairing In The Two-Dimensional Hubbard Model, Ehsan Khatami, A. Macridin, M. Jarrell

Faculty Publications

Thermodynamics Of The Quantum Critical Point At Finite Doping In The Two-Dimensional Hubbard Model Studied Via The Dynamical Cluster Approximation, K. Mikelsons, Ehsan Khatami, D. Galanakis, A. Macridin, J. Moreno, M. Jarrell

Faculty Publications

Mapping The Dark Side With Deimos: Globular Clusters, X-Ray Gas, And Dark Matter In The Ngc 1407 Group, Aaron J. Romanowsky, J. Strader, L. Spitler, R. Johnson, J. P. Brodie, D. A. Forbes, T. Ponman

Faculty Publications

Faculty Publications

Faculty Publications

Probing The 2d Kinematic Structure Of Early-Type Galaxies Out To 3 Effective Radii, R. N. Proctor, D. A. Forbes, J. P. Brodie, Aaron J. Romanowsky, J. Strader, M. Spolaor, J. T. Mendel, L. Spitler

Faculty Publications

Central Mass-To-Light Ratios And Dark Matter Fractions In Early-Type Galaxies, C. Tortora, N. R. Napolitano, Aaron J. Romanowsky, M. Capaccioli, G. Covone

Faculty Publications

Mapping The Dark Side With Deimos: Globular Clusters, X-Ray Gas, And Dark Matter In The Ngc 1407 Group, Aaron J. Romanowsky, J. Strader, L. Spitler, R. Johnson, J. P. Brodie, D. A. Forbes, T. Ponman

Aaron J. Romanowsky

Aaron J. Romanowsky

Kinematic Properties Of Early-Type Galaxy Haloes Using Planetary Nebulae, L. Coccato, O. Gerhard, M. Arnaboldi, P. Das, N. G. Douglas, K. Kuijken, M. R. Merrifield, N. R. Napolitano, Aaron J. Romanowsky, E. Noordermeer, M. Capaccioli, A. Cortesi, F. De Lorenzi, K. C. Freeman

Aaron J. Romanowsky

Probing The 2d Kinematic Structure Of Early-Type Galaxies Out To 3 Effective Radii, R. N. Proctor, D. A. Forbes, J. P. Brodie, Aaron J. Romanowsky, J. Strader, M. Spolaor, J. T. Mendel, L. Spitler

Aaron J. Romanowsky

Central Mass-To-Light Ratios And Dark Matter Fractions In Early-Type Galaxies, C. Tortora, N. R. Napolitano, Aaron J. Romanowsky, M. Capaccioli, G. Covone

Aaron J. Romanowsky

Aaron J. Romanowsky

Kinematic Properties Of Early-Type Galaxy Haloes Using Planetary Nebulae, L. Coccato, O. Gerhard, M. Arnaboldi, P. Das, N. G. Douglas, K. Kuijken, M. R. Merrifield, N. R. Napolitano, Aaron J. Romanowsky, E. Noordermeer, M. Capaccioli, A. Cortesi, F. De Lorenzi, K. C. Freeman

Faculty Publications