2,390 research outputs found
Correlation energy of two electrons in the high-density limit
We consider the high-density-limit correlation energy \Ec in
dimensions for the ground states of three two-electron systems: helium
(in which the electrons move in a Coulombic field), spherium (in which they
move on the surface of a sphere), and hookium (in which they move in a
quadratic potential). We find that the \Ec values are strikingly similar,
depending strongly on but only weakly on the external potential. We
conjecture that, for large , the limiting correlation energy \Ec \sim
-\delta^2/8 in any confining external potential, where .Comment: 4 pages, 0 figur
Excitation Gap from Optimized Correlation Functions in Quantum Monte Carlo Simulations
We give a prescription for finding optimized correlation functions for the
extraction of the gap to the first excited state within quantum Monte Carlo
simulations. We demonstrate that optimized correlation functions provide a more
accurate reading of the gap when compared to other `non-optimized' correlation
functions and are generally characterized by considerably larger
signal-to-noise ratios. We also analyze the cost of the procedure and show that
it is not computationally demanding. We illustrate the effectiveness of the
proposed procedure by analyzing several exemplary many-body systems of
interacting spin-1/2 particles.Comment: 11 pages, 5 figure
Non-adiabatic Effects in the Dissociation of Oxygen Molecules at the Al(111) Surface
The measured low initial sticking probability of oxygen molecules at the
Al(111) surface that had puzzled the field for many years was recently
explained in a non-adiabatic picture invoking spin-selection rules [J. Behler
et al., Phys. Rev. Lett. 94, 036104 (2005)]. These selection rules tend to
conserve the initial spin-triplet character of the free O2 molecule during the
molecule's approach to the surface. A new locally-constrained
density-functional theory approach gave access to the corresponding
potential-energy surface (PES) seen by such an impinging spin-triplet molecule
and indicated barriers to dissociation which reduce the sticking probability.
Here, we further substantiate this non-adiabatic picture by providing a
detailed account of the employed approach. Building on the previous work, we
focus in particular on inaccuracies in present-day exchange-correlation
functionals. Our analysis shows that small quantitative differences in the
spin-triplet constrained PES obtained with different gradient-corrected
functionals have a noticeable effect on the lowest kinetic energy part of the
resulting sticking curve.Comment: 17 pages including 11 figures; related publications can be found at
http://www.fhi-berlin.mpg.de/th/th.htm
Chemical engineering of adamantane by lithium functionalization: A first-principles density functional theory study
Using first-principle density functional theory, we investigated the hydrogen
storage capacity of Li functionalized adamantane. We showed that if one of the
acidic hydrogen atoms of adamantane is replaced by Li/Li+, the resulting
complex is activated and ready to adsorb hydrogen molecules at a high
gravimetric weight percent of around ~ 7.0 %. Due to polarization of hydrogen
molecules under the induced electric field generated by positively charged
Li/Li+, they are adsorbed on ADM.Li/Li+ complexes with an average binding
energy of ~ -0.15 eV/H2, desirable for hydrogen storage applications. We also
examined the possibility of the replacement of a larger number of acidic
hydrogen atoms of adamantane by Li/Li+ and the possibility of aggregations of
formed complexes in experiments. The stabilities of the proposed structures
were investigated by calculating vibrational spectra and doing MD simulations.Comment: 8 pages, 6 figures, 2 tables, accepted for publication in Physical
Review
Electron Correlation and the c-axis Dispersion of Cu d_z^2: a New Band Structure for High Temperature Superconductors
Previously we showed the major effect of electron correlation in the cuprate
superconductors is to lower the energy of the Cu d_x^2-y^2/O p_sigma (x^2-y^2)
band with respect to the Cu d_z^2/O' p_z (z^2) band. In our 2D Hubbard model
for La_1.85Sr_0.15CuO_4 (LaSCO), the z^2 band is narrow and crosses the
standard x^2-y^2 band just below the Fermi level. In this work, we introduce
c-axis dispersion to the model and find the z^2 band to have considerable
anisotropic 3D character. An additional hole-like surface opens up in the z^2
band at (0,0,2pi/c) which expands with doping. At sufficient doping levels, a
symmetry allowed x^2-y^2/z^2 band crossing along the (0,0)-(pi,pi) direction of
the Brillouin zone appears at the Fermi level. At this point, Cooper pairs
between the two bands (e.g. (k uparrow x^2-y^2/k downarrow z^2)) can form,
providing the basis for the Interband Pairing Theory of superconductivity in
these materials.Comment: submitted to Phys. Rev. Lett. Related publications: Phys. Rev. B 58,
12303 (1998); Phys. Rev. B 58, 12323 (1998); cond-mat/9903088;
cond-mat/990310
Excited States of Ladder-type Poly-p-phenylene Oligomers
Ground state properties and excited states of ladder-type paraphenylene
oligomers are calculated applying semiempirical methods for up to eleven
phenylene rings. The results are in qualitative agreement with experimental
data. A new scheme to interpret the excited states is developed which reveals
the excitonic nature of the excited states. The electron-hole pair of the
S1-state has a mean distance of approximately 4 Angstroem.Comment: 24 pages, 21 figure
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