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Full-Text Articles in Physical Sciences and Mathematics

Linked-Cluster Expansion For The Green's Function Of The Infinite-U Hubbard Model, Ehsan Khatami, Edward Perepelitsky, Marcos Rigol, Sriram B. Shastry Jun 2014

Linked-Cluster Expansion For The Green's Function Of The Infinite-U Hubbard Model, Ehsan Khatami, Edward Perepelitsky, Marcos Rigol, Sriram B. Shastry

Faculty Publications

We implement a highly efficient strong-coupling expansion for the Green's function of the Hubbard model. In the limit of extreme correlations, where the onsite interaction is infinite, the evaluation of diagrams simplifies dramatically enabling us to carry out the expansion to the eighth order in powers of the hopping amplitude. We compute the finite-temperature Green's function analytically in the momentum and Matsubara frequency space as a function of the electron density. Employing Padé approximations, we study the equation of state, Kelvin thermopower, momentum distribution function, quasiparticle fraction, and quasiparticle lifetime of the system at temperatures lower than, or of the …


Dynamical Models Of Elliptical Galaxies – I. Simple Methods, A. Angello, N. Evans, Aaron Romanowsky Jan 2014

Dynamical Models Of Elliptical Galaxies – I. Simple Methods, A. Angello, N. Evans, Aaron Romanowsky

Faculty Publications

We study dynamical models for elliptical galaxies, deriving the projected kinematic profiles in a form that is valid for general surface-brightness profiles and (spherical) total mass profiles, without the need for any explicit deprojection. We then show that an almost flat rotation curve, combined with modest velocity anisotropy, is already sufficient to recover the kinematic profiles of nearby ellipticals. As an application, we provide two different sets of mass estimators for elliptical galaxies, based on either the velocity dispersion at a specific location near the effective radius, or the aperture-averaged velocity dispersion. In the large aperture (virial) limit, mass estimators …


Dynamical Models Of Elliptical Galaxies – Ii. M87 And Its Globular Clusters, A. Angello, N. Evans, Aaron Romanowsky, J. Brodie Jan 2014

Dynamical Models Of Elliptical Galaxies – Ii. M87 And Its Globular Clusters, A. Angello, N. Evans, Aaron Romanowsky, J. Brodie

Faculty Research, Scholarly, and Creative Activity

We study the Globular Cluster (GC) system of the nearby elliptical galaxy M87 using the newly available dataset with accurate kinematics (Strader et al.2011). We find evidence for three distinct sub-populations of GCs in terms of colours, kinematics and radial profiles. We show that a decomposition into three populations (blue, intermediate and red GCs) is statistically preferred to one with two or four populations, and relate them to the stellar profile. We exploit the sub-populations to derive dynamical constraints on the mass and Dark Matter (DM) content of M87 out to ∼100 kpc. We use a class of global mass-estimators …


The Sluggs Survey: New Evidence For A Tidal Interaction Between The Early Type Galaxies Ngc 4365 And Ngc 4342, C. Blom, D. Forbes, C. Foster, Aaron Romanowsky, J. Brodie Jan 2014

The Sluggs Survey: New Evidence For A Tidal Interaction Between The Early Type Galaxies Ngc 4365 And Ngc 4342, C. Blom, D. Forbes, C. Foster, Aaron Romanowsky, J. Brodie

Faculty Research, Scholarly, and Creative Activity

We present new imaging and spectral data for globular clusters (GCs) around NGC 4365 and NGC 4342. NGC 4342 is a compact, X-ray luminous S0 galaxy with an unusually massive central black hole. NGC 4365 is another atypical galaxy that dominates the W' group of which NGC 4342 is a member. Using imaging from the MegaCam instrument on the Canada-France-Hawaii Telescope (CFHT) we identify a stream of GCs between the two galaxies and extending beyond NGC 4342. The stream of GCs is spatially coincident with a stream/plume of stars previously identified. We find that the photometric colours of the stream …


Ultra Compact Dwarfs In The Core Of The Perseus Cluster: Ucd Formation Via Tidal Stripping, S. Penny, D. Forbes, J. Strader, C. Usher, J. Brodie, Aaron Romanowsky Jan 2014

Ultra Compact Dwarfs In The Core Of The Perseus Cluster: Ucd Formation Via Tidal Stripping, S. Penny, D. Forbes, J. Strader, C. Usher, J. Brodie, Aaron Romanowsky

Faculty Research, Scholarly, and Creative Activity

We present the results of a Keck/DEIMOS survey of Ultra Compact Dwarfs (UCDs) in the Perseus Cluster core. We confirm cluster membership for 14 UCDs, with radial velocities ~5300 km s−1. Two of these confirmed Perseus UCDs have extremely blue colours (B−R<0.6 mag), reside in star forming filaments surrounding NGC 1275, and have likely formed as massive star clusters in the last ~100 Myr. We also measure a central velocity dispersion of a third, UCD13 (σ0=38±8 km s−1), the most extended UCD in our sample. We determine it to have radius Re=85±1.1 pc, a dynamical mass of (2.3±0.8)×108 M⊙, and a metallicity [Z/H]=−0.52+0.33−0.29 dex. UCD13 and the cluster's central galaxy, NGC 1275, have a projected separation of 30 kpc and a radial velocity difference of ~20 km s−1. Based on its size, red colour, internal velocity dispersion, dynamical mass, metallicity and proximity to NGC 1275, we argue that UCD13 is likely the remnant nucleus of a tidally stripped dE, with this progenitor dE having MB≈−16 mag and mass ∼109 M⊙.


The Sluggs Survey: Breaking Degeneracies Between Dark Matter, Anisotropy And The Imf Using Globular Cluster Subpopulations In The Giant Elliptical Ngc 5846, N. Napolitano, V. Pota, Aaron Romanowsky, D. Forbes, J. Brodie, C. Foster Jan 2014

The Sluggs Survey: Breaking Degeneracies Between Dark Matter, Anisotropy And The Imf Using Globular Cluster Subpopulations In The Giant Elliptical Ngc 5846, N. Napolitano, V. Pota, Aaron Romanowsky, D. Forbes, J. Brodie, C. Foster

Faculty Research, Scholarly, and Creative Activity

We study the mass and anisotropy distribution of the giant elliptical galaxy NGC 5846 using stars, as well as the red and blue globular cluster (GC) subpopulations. We break degeneracies in the dynamical models by taking advantage of the different phase space distributions of the two GC subpopulations to unambiguously constrain the mass of the galaxy and the anisotropy of the GC system. Red GCs show the same spatial distribution and behaviour as the starlight, whereas blue GCs have a shallower density profile, a larger velocity dispersion and a lower kurtosis, all of which suggest a different orbital distribution. We …