1,286 research outputs found
Application of ERTS-1 Imagery to Flood Inundation Mapping
Application of ERTS-1 imagery to flood inundation mapping in East and West Nishnabotna basins of southwestern Iow
Well-Water Quality Data from a Volunteer Sampling Program: Audubon County, Iowa
This study presents the results of a countywide volunteer sampling of private well-water. Volunteers collected 231 well-water samples in Audubon County for nitrate-nitrogen (NO3,-N) and total coliform bacteria analyses during September 1988. Questionnaires were completed at all sites to document well construction, age and depth of well, well placement relative to septic system, barnyard/feedlots, location of chemical mixing/tank rinsing, and presence of abandoned wells
A Farmdalian Pollen Diagram From East-Central Iowa
Pollen analysis of the Butler Farm buried peat in east-central Iowa suggests that a spruce-pine forest grew in the area during the Farmdalian Substage. Pine decreased and spruce increased in dominance as the peat accumulated. Radiocarbon dates indicate that the peat was deposited from 28,800 to 22,750 RCYBP. It is overlain by late Wisconsinan loess and underlain by a Sangamon paleosol developed on Illinoian till. The regional pollen data suggest a general cooling trend through Farmdale time
Density matrix renormalisation group for a quantum spin chain at non-zero temperature
We apply a recent adaptation of White's density matrix renormalisation group
(DMRG) method to a simple quantum spin model, the dimerised chain, in
order to assess the applicabilty of the DMRG to quantum systems at non-zero
temperature. We find that very reasonable results can be obtained for the
thermodynamic functions down to low temperatures using a very small basis set.
Low temperature results are found to be most accurate in the case when there is
a substantial energy gap.Comment: 6 pages, Standard Latex File + 7 PostScript figures available on
reques
A Renormalization Group Method for Quasi One-dimensional Quantum Hamiltonians
A density-matrix renormalization group (DMRG) method for highly anisotropic
two-dimensional systems is presented. The method consists in applying the usual
DMRG in two steps. In the first step, a pure one dimensional calculation along
the longitudinal direction is made in order to generate a low energy
Hamiltonian. In the second step, the anisotropic 2D lattice is obtained by
coupling in the transverse direction the 1D Hamiltonians. The method is applied
to the anisotropic quantum spin half Heisenberg model on a square lattice.Comment: 4 pages, 4 figure
An Improved Initialization Procedure for the Density-Matrix Renormalization Group
We propose an initialization procedure for the density-matrix renormalization
group (DMRG): {\it the recursive sweep method}. In a conventional DMRG
calculation, the infinite-algorithm, where two new sites are added to the
system at each step, has been used to reach the target system size. We then
need to obtain the ground state for a different system size for every site
addition, so 1) it is difficult to supply a good initial vector for the
numerical diagonalization for the ground state, and 2) when the system reduced
to a 1D system consists of an array of nonequivalent sites as in ladders or
Hubbard-Holstein model, special care has to be taken. Our procedure, which we
call the {\it recursive sweep method}, provides a solution to these problems
and in fact provides a faster algorithm for the Hubbard model as well as more
complicated ones such as the Hubbard-Holstein model.Comment: 4 pages, 4 figures, submitted to JPS
Two-state behaviour of Kondo trimers
The electronic properties and spectroscopic features of a magnetic trimer
with a Kondo-like coupling to a non-magnetic metallic substrate are analyzed at
zero temperature. The substrate density of states is depressed in the trimer
neighbourhood, being exactly zero at the substrate chemical potential. The size
of the resonance strongly depends on the magnetic state of the trimer, and
exhibits a two-state behavior. The geometrical dependence of these results
agree qualitatively with recent experiments and could be reproduced in a
triangular quantum dot arrangement.Comment: 5 pages, including 4 figure
The Density Matrix Renormalization Group applied to single-particle Quantum Mechanics
A simplified version of White's Density Matrix Renormalization Group (DMRG)
algorithm has been used to find the ground state of the free particle on a
tight-binding lattice. We generalize this algorithm to treat the tight-binding
particle in an arbitrary potential and to find excited states. We thereby solve
a discretized version of the single-particle Schr\"odinger equation, which we
can then take to the continuum limit. This allows us to obtain very accurate
results for the lowest energy levels of the quantum harmonic oscillator,
anharmonic oscillator and double-well potential. We compare the DMRG results
thus obtained with those achieved by other methods.Comment: REVTEX file, 21 pages, 3 Tables, 4 eps Figure
Dynamical Correlation Functions using the Density Matrix Renormalization Group
The density matrix renormalization group (DMRG) method allows for very
precise calculations of ground state properties in low-dimensional strongly
correlated systems. We investigate two methods to expand the DMRG to
calculations of dynamical properties. In the Lanczos vector method the DMRG
basis is optimized to represent Lanczos vectors, which are then used to
calculate the spectra. This method is fast and relatively easy to implement,
but the accuracy at higher frequencies is limited. Alternatively, one can
optimize the basis to represent a correction vector for a particular frequency.
The correction vectors can be used to calculate the dynamical correlation
functions at these frequencies with high accuracy. By separately calculating
correction vectors at different frequencies, the dynamical correlation
functions can be interpolated and pieced together from these results. For
systems with open boundaries we discuss how to construct operators for specific
wavevectors using filter functions.Comment: minor revision, 10 pages, 15 figure
Shadow band in the one-dimensional large Hubbard model
We show that the factorized wave-function of Ogata and Shiba can be used to
calculate the dependent spectral functions of the one-dimensional, infinite
Hubbard model, and of some extensions to finite . The resulting spectral
function is remarkably rich: In addition to low energy features typical of
Luttinger liquids, there is a well defined band, which we identify as the
shadow band resulting from spin fluctuations. This band should be
detectable experimentally because its intensity is comparable to that of the
main band for a large range of momenta.Comment: Latex file. 4 pages. Figures upon reques
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