The key questions of uniqueness and existence in time-dependent density functional theory are usually formulated only for potentials and densities that are analytic in time. Simple examples, standard in quantum mechanics, lead however to non-analyticities. We reformulate these questions in terms of a non-linear Schr\"odinger equation with a potential that depends non-locally on the wavefunction.

Neepa T. Maitra Tchavdar N. Todorov Chris Woodward Kieron Burke

We present a wide-field imaging study of the colors of bright galaxies in 12 X-ray selected clusters and groups of galaxies at z ~ 0.3. The systems cover one of the largest ranges in X-ray luminosity (Lx ~ 10^43 - 10^45 erg/s), and hence mass, of any sample studied at this redshift. We find that the `red' galaxies form a tight color-magnitude relation (CMR) and that neither the slope nor zero-point of this relation changes significantly over the factor of 100 in X-ray luminosity of our sample. Using stellar population synthesis models we find our data allow a maximum possible change of 2 Gyrs in the typical age of the galaxies on the CMR over the range of Lx of our sample. We also measure the fraction of blue galaxies (fb) relative to the CMR in our clusters and find a low value of fb ~ 0.1 and find that there is no correlation between fb and Lx over our large Lx range. However, both the CMR and fb do depend on cluster radius, with the zero-point of the CMR shifting blueward in B-R by 0.10 +/- 0.036 magnitudes out to 0.75 times the virial radius, equivalent to a luminosity weighted age gradient of ~ 2.5 Gyrs per log(radius). It thus appears that the global cluster environment, in the form of cluster mass (Lx), has little influence on the properties of bright cluster galaxies, whereas the local environment, in the form of galaxy density (radius), has a strong effect. The range of ~ 100 in Lx corresponds to a factor of ~ 40 in ram-pressure efficiency, suggesting that ram-pressure stripping, or other mechanisms that depend on cluster mass like tidal stripping or harassment, are unlikely to be solely responsible for changing the galaxy population from the `blue' star forming galaxies, that dominate low density environments, to the `red' passive galaxies that dominate cluster cores.(abridged)

David A. Wake Chris A. Collins Robert C. Nichol Laurence R. Jones Douglas. J. Burke

A prescription is presented for the interpretation of the coefficients in an effective lagrangian in terms of physical mass scales.

J. Wudka

We present spectroscopy from the first three seasons of the Dark Energy Survey Supernova Program (DES-SN). We describe the supernova spectroscopic program in full: strategy, observations, data reduction, and classification. We have spectroscopically confirmed 307 supernovae, including 251 type Ia supernovae (SNe Ia) over a redshift range of $0.017 < z < 0.85$. We determine the effective spectroscopic selection function for our sample, and use it to investigate the redshift-dependent bias on the distance moduli of SNe Ia we have classified. We also provide a full overview of the strategy, observations, and data products of DES-SN, which has discovered 12,015 likely supernovae during these first three seasons. The data presented here are used for the first cosmology analysis by DES-SN ('DES-SN3YR'), the results of which are given in DES Collaboration (2018a).

C. B. D'Andrea M. Smith M. Sullivan R. C. Nichol R. C. Thomas A. G. Kim A. Möller M. Sako F. J. Castander A. V. Filippenko R. J. Foley L. Galbany S. González-Gaitán E. Kasai R. P. Kirshner C. Lidman D. Scolnic D. Brout T. M. Davis R. R. Gupta S. R. Hinton R. Kessler J. Lasker E. Macaulay R. C. Wolf B. Zhang J. Asorey A. Avelino B. A. Bassett J. Calcino D. Carollo R. Casas P. Challis M. Childress A. Clocchiatti S. Crawford K. Glazebrook D. A. Goldstein M. L. Graham J. K. Hoormann K. Kuehn G. F. Lewis K. S. Mandel E. Morganson D. Muthukrishna P. Nugent Y. -C. Pan M. Pursiainen R. Sharp N. E. Sommer E. Swann B. E. Tucker S. A. Uddin P. Wiseman W. Zheng T. M. C. Abbott J. Annis S. Avila K. Bechtol G. M. Bernstein E. Bertin D. Brooks D. L. Burke A. Carnero Rosell M. Carrasco Kind J. Carretero C. E. Cunha L. N. da Costa C. Davis J. De Vicente H. T. Diehl T. F. Eifler J. Estrada J. Frieman J. García-Bellido E. Gaztanaga D. W. Gerdes D. Gruen R. A. Gruendl J. Gschwend G. Gutierrez W. G. Hartley D. L. Hollowood K. Honscheid B. Hoyle D. J. James M. W. G. Johnson M. D. Johnson N. Kuropatkin T. S. Li M. Lima M. A. G. Maia J. L. Marshall P. Martini F. Menanteau C. J. Miller R. Miquel E. Neilsen R. L. C. Ogando A. A. Plazas A. K. Romer E. Sanchez V. Scarpine M. Schubnell S. Serrano I. Sevilla-Noarbe F. Sobreira E. Suchyta G. Tarle D. L. Tucker W. Wester

An extremely easy method for accurately calculating the adiabatic connection of density functional theory is presented, and its accuracy tested on both Hooke's atom and the He atom. The method is easy because calculations are needed only for different values of parameters in the external potential, which can be achieved with almost any electronic structure code.

Derek Frydel William H. Terilla Kieron Burke

We present an unambiguous formulation for the total energy density within density-functional theory. We propose that it be used as a tool for the interpretation of computed energy and electronic structure changes during structural transformations and chemical reactions, augmenting the present use of electron density changes and changes in the Kohn-Sham local density of states and Kohn-Sham energy density.

Morrel H Cohen Derek Frydel Kieron Burke Eberhard Engel

We measure the effect of externally applied broadband Nyquist noise on the intrinsic Nyquist dephasing rate of electrons in a two-dimensional electron gas at low temperatures. Within the measurement error, the phase coherence time is unaffected by the externally applied Nyquist noise, including applied noise temperatures of up to 300 K. The amplitude of the applied Nyquist noise from 100 MHz to 10 GHz is quantitatively determined in the same experiment using a microwave network analyzer.

P. J. Burke L. N. Pfeiffer K. W. West

We develop an rf circuit model for single walled carbon nanotubes for both dc and capacitively contacted geometries. By modeling the nanotube as a nano-transmission line with distributed kinetic and magnetic inductance as well as distributed quantum and electrostatic capacitance, we calculate the complex, frequency dependent impedance for a variety of measurement geometries. Exciting voltage waves on the nano-transmission line is equivalent to directly exciting the yet-to-be observed one dimensional plasmons, the low energy excitation of a Luttinger liquid.

P. J. Burke

Centimeter scale aligned carbon nanotube arrays are grown from nanoparticle metal catalyst pads. We find the nanotubes grow both with and against the wind. A metal underlayer provides in-situ electrical contact to these long nanotubes with no post growth processing needed. Using the electrically contacted nanotubes, we study electrical transport of 0.4 cm long nanotubes. The source drain I-V curves are quantitatively described by a classical, diffusive model. Our measurements show that the outstanding transport properties of nanotubes can be extended to the cm scale and open the door to large scale integrated nanotube circuits with macroscopic dimensions.

Shengdong Li Zhen Yu Christopher Rutherglen Peter J. Burke

We present quantitative predictions of the performance of nanotubes and nanowires as antennas, including the radiation resistance, the input reactance and resistance, and antenna efficiency, as a function of frequency and nanotube length. Particular attention is paid to the quantum capacitance and kinetic inductance. In so doing, we also develop a circuit model for a transmission line made of two parallel nanotubes, which has applications for nano-interconnect technology.

Peter J. Burke Shengdong Li Zhen Yu