2,685 research outputs found
High-density correlation energy expansion of the one-dimensional uniform electron gas
We show that the expression of the high-density (i.e small-) correlation
energy per electron for the one-dimensional uniform electron gas can be
obtained by conventional perturbation theory and is of the form \Ec(r_s) =
-\pi^2/360 + 0.00845 r_s + ..., where is the average radius of an
electron. Combining these new results with the low-density correlation energy
expansion, we propose a local-density approximation correlation functional,
which deviates by a maximum of 0.1 millihartree compared to the benchmark DMC
calculations.Comment: 7 pages, 2 figures, 3 tables, accepted for publication in J. Chem.
Phy
Effective one-band electron-phonon Hamiltonian for nickel perovskites
Inspired by recent experiments on the Sr-doped nickelates,
, we propose a minimal microscopic model capable to describe
the variety of the observed quasi-static charge/lattice modulations and the
resulting magnetic and electronic-transport anomalies. Analyzing the motion of
low-spin (s=1/2) holes in a high-spin (S=1) background as well as their their
coupling to the in-plane oxygen phonon modes, we construct a sort of
generalized Holstein t-J Hamiltonian for the planes, which contains
besides the rather complex ``composite-hole'' hopping part non-local spin-spin
and hole-phonon interaction terms.Comment: 12 pages, LaTeX, submitted to Phys. Rev.
Thinking outside the box: the uniform electron gas on a hypersphere
We discuss alternative homogeneous electron gas systems in which a finite
number of electrons are confined to a -dimensional sphere. We derive the
first few terms of the high-density (, where is the Seitz
radius) energy expansions for these systems and show that, in the thermodynamic
limit (), these terms become identical to those of -dimensional
jellium.Comment: 5 pages, 2 figures, 2 tables, accepted for publication in J. Chem.
Phy
Dynamical Properties of small Polarons
On the basis of the two-site polaron problem, which we solve by exact
diagonalization, we analyse the spectral properties of polaronic systems in
view of discerning localized from itinerant polarons and bound polaron pairs
from an ensemble of single polarons. The corresponding experimental techniques
for that concern photoemission and inverse photoemission spectroscopy. The
evolution of the density of states as a function of concentration of charge
carriers and strength of the electron-phonon interaction clearly shows the
opening up of a gap between single polaronic and bi-polaronic states, in
analogy to the Hubbard problem for strongly correlated electron systems. The
crossover regime between adiabatic and anti-adiabatic small polarons is
triggered by two characteristic time scales: the renormalized electron hopping
rate and the renormalized vibrational frequency becoming equal. This crossover
regime is then characterized by temporarily alternating self- localization and
delocalization of the charge carriers which is accompanied by phase slips in
the charge and molecular deformation oscillations and ultimately leads to a
dephasing between these two dynamical components of the polaron problem. We
visualize these features by a study of the temporal evolution of the charge
redistribution and the change in molecular deformations. The spectral and
dynamical properties of polarons discussed here are beyond the applicability of
the standard Lang Firsov approach to the polaron problem.Comment: 31 pages and 23 figs.(eps), accepted in the Phys. Rev.
On Deformations of n-Lie algebras
The aim of this paper is to review the deformation theory of -Lie
algebras. We summarize the 1-parameter formal deformation theory and provide a
generalized approach using any unital commutative associative algebra as a
deformation base. Moreover, we discuss degenerations and quantization of
-Lie algebras.Comment: Proceeding of the conference Dakar's Workshop in honor of Pr Amin
Kaidi. arXiv admin note: text overlap with arXiv:hep-th/9602016 by other
author
Quantum Magnetic Algebra and Magnetic Curvature
The symplectic geometry of the phase space associated with a charged particle
is determined by the addition of the Faraday 2-form to the standard structure
on the Euclidean phase space. In this paper we describe the corresponding
algebra of Weyl-symmetrized functions in coordinate and momentum operators
satisfying nonlinear commutation relations. The multiplication in this algebra
generates an associative product of functions on the phase space. This product
is given by an integral kernel whose phase is the symplectic area of a
groupoid-consistent membrane. A symplectic phase space connection with
non-trivial curvature is extracted from the magnetic reflections associated
with the Stratonovich quantizer. Zero and constant curvature cases are
considered as examples. The quantization with both static and time dependent
electromagnetic fields is obtained. The expansion of the product by the
deformation parameter, written in the covariant form, is compared with the
known deformation quantization formulas.Comment: 23 page
Low-Temperature Spin Dynamics of Doped Manganites: roles of Mn-t2g and eg and O-2p states
The low-temperature spin dynamics of doped manganites have been analyzed
within a tight-binding model, the parameters of which are estimated by mapping
the results of ab initio density functional calculations onto the model. This
approach is found to provide a good description of the spin dynamics of the
doped manganites, observed earlier within the ab initio calculations. Our
analysis not only provides some insight into the roles of the eg and the t2g
states but also indicates that the oxygen p states play an important role in
the spin dynamics. This may cast doubt on the adaptability of the conventional
model Hamiltonian approaches to the analysis of spin dynamics of doped
manganites.Comment: 12 pages; Includes 5 figure
Could recombinant insulin compounds contribute to adenocarcinoma progression by stimulating local angiogenesis?
Negative effects on the progression of adenocarcinomas by hyperinsulinaemia and the insulin analogue glargine (A21Gly,B31Arg,B32Arg human insulin) have recently been suggested. Most actions of this insulin analogue have hitherto been explained by direct stimulation of growth potential of neoplastic cells and by its IGF-1 related properties. However, insulin-stimulated angiogenesis could be an additional factor involved in tumour progression and clinical outcomes associated with cancer. Five types of human adenocarcinoma (breast, colon, pancreas, lung and kidney) were evaluated for the presence of insulin receptors (IRs) on angiogenic structures. In an in vitro angiogenesis assay, various commercially available insulin compounds were evaluated for their potential to increase capillary-like tube formation of human microvascular endothelial cells (hMVEC). Insulin compounds used were: human insulin, insulin lispro (B28Lys,B29Pro human insulin), insulin glargine and insulin detemir (B29Lys[e-tetradecanoyl],desB30 human insulin). Insulin receptors were found to be strongly expressed on the endothelium of microvessels in all evaluated adenocarcinomas, in addition to variable expression on tumour cells. Low or no detectable expression of IRs was seen on microvessels in extratumoral stroma. Incubation with commercially available insulin compounds increased capillary-like tube formation of hMVEC in vitro. Our results suggest that all tested insulin compounds may stimulate tumour growth by enhancing local angiogenesis. Future studies need to confirm the association between insulin therapy in type 2 diabetes and tumour progressio
Correlation energy of anisotropic quantum dots
We study the -dimensional high-density correlation energy \Ec of the
singlet ground state of two electrons confined by a harmonic potential with
Coulombic repulsion. We allow the harmonic potential to be anisotropic, and
examine the behavior of \Ec as a function of the anisotropy . In
particular, we are interested in the limit where the anisotropy goes to
infinity () and the electrons are restricted to a lower-dimensional
space. We show that tuning the value of from 0 to 1 allows a smooth
dimensional interpolation and we demonstrate that the usual model, in which a
quantum dot is treated as a two-dimensional system, is inappropriate. Finally,
we provide a simple function which reproduces the behavior of \Ec over the
entire range of .Comment: 5 pages, 2 figures, 1 table, submitted to Phys. Rev.
Space-time versus particle-hole symmetry in quantum Enskog equations
The non-local scattering-in and -out integrals of the Enskog equation have
reversed displacements of colliding particles reflecting that the -in and -out
processes are conjugated by the space and time inversions. Generalisations of
the Enskog equation to Fermi liquid systems are hindered by a request of the
particle-hole symmetry which contradicts the reversed displacements. We resolve
this problem with the help of the optical theorem. It is found that space-time
and particle-hole symmetry can only be fulfilled simultaneously for the
Bruckner-type of internal Pauli-blocking while the Feynman-Galitskii form
allows only for particle-hole symmetry but not for space-time symmetry due to a
stimulated emission of Bosons
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